Fluid Mechanics and ThermodynamicsWeekly Assessed Tutorial Sheets,

Student Sheets: WATS 10.

The WATS approach to assessment was developed as part of an LTSN Engineering Mini-Project, funded at the University of Hertfordshire which aimed to develop a set of 'student unique' tutorial sheets to actively encourage and improve student participation within a first year first ‘fluid mechanics and thermodynamics’ module. Please see the accompanying Mini-Project Report “Improving student success and retention through greater participation and tackling student-unique tutorial sheets” for more information.

The WATS cover core Fluid Mechanics and Thermodynamics topics at first year undergraduate level. 11 tutorial sheets and their worked solutions are provided here for you to utilise in your teaching. The variables within each question can be altered so that each student answers the same question but will need to produce a unique solution.

FURTHER INFORMATION

Please see http://tinyurl.com/2wf2lfh to access the WATS Random Factor Generating Wizard.

There are also explanatory videos on how to use the Wizard and how to implement WATS available at http://www.youtube.com/user/MBRBLU#p/u/7/0wgC4wy1cV0 and http://www.youtube.com/user/MBRBLU#p/u/6/MGpueiPHpqk.

For more information on WATS, its use and impact on students please contact Mark Russell, School of Aerospace, Automotive and Design Engineering at University of Hertfordshire.

© University of Hertfordshire 2009 This work is licensed under a Creative Commons Attribution 2.0 License.

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 1EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.33 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 325 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.74 m.

Q2) 18.30 kg/s of air enters a turbine at 980 °C with a velocity of 89 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 174 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.33 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 2EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.26 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 415 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.53 m.

Q2) 15.40 kg/s of air enters a turbine at 640 °C with a velocity of 75 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 136 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.59 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 2 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 3EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.45 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 8 bars. Heat is added until the final temperature is 220 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.38 m.

Q2) 11.00 kg/s of air enters a turbine at 570 °C with a velocity of 54 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 138 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.21 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 3 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 4EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.29 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 5 bars. Heat is added until the final temperature is 270 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.64 m.

Q2) 9.10 kg/s of air enters a turbine at 640 °C with a velocity of 89 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 154 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.72 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 4 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 5EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.28 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 400 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.40 m.

Q2) 8.40 kg/s of air enters a turbine at 650 °C with a velocity of 65 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 170 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.53 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 5 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 6EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.23 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 405 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.63 m.

Q2) 6.80 kg/s of air enters a turbine at 780 °C with a velocity of 84 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 134 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.17 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 6 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 7EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.29 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 5 bars. Heat is added until the final temperature is 280 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.65 m.

Q2) 11.80 kg/s of air enters a turbine at 1030 °C with a velocity of 52 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 110 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.77 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 7 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 8EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.26 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 450 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.42 m.

Q2) 14.10 kg/s of air enters a turbine at 500 °C with a velocity of 70 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 114 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.17 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 8 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 9EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.26 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 315 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.63 m.

Q2) 5.80 kg/s of air enters a turbine at 1130 °C with a velocity of 98 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 126 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.86 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 9 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 10EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.50 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 230 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.42 m.

Q2) 7.40 kg/s of air enters a turbine at 700 °C with a velocity of 69 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 146 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.87 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 10 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 11EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.42 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 435 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.34 m.

Q2) 13.10 kg/s of air enters a turbine at 1160 °C with a velocity of 67 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 116 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.08 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 11 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 12EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.39 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 8 bars. Heat is added until the final temperature is 240 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.41 m.

Q2) 5.60 kg/s of air enters a turbine at 800 °C with a velocity of 99 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 148 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.66 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 12 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 13EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.47 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 255 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.71 m.

Q2) 17.90 kg/s of air enters a turbine at 610 °C with a velocity of 54 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 128 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.73 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 13 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 14EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.21 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 395 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.58 m.

Q2) 10.20 kg/s of air enters a turbine at 860 °C with a velocity of 75 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 174 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.20 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 14 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 15EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.25 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 5 bars. Heat is added until the final temperature is 355 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.67 m.

Q2) 12.80 kg/s of air enters a turbine at 1150 °C with a velocity of 84 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 160 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.58 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 15 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 16EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.50 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 335 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.63 m.

Q2) 9.30 kg/s of air enters a turbine at 1080 °C with a velocity of 75 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 164 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.20 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 16 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 17EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.46 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 385 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.36 m.

Q2) 19.80 kg/s of air enters a turbine at 640 °C with a velocity of 90 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 110 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.00 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 17 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 18EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.47 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 295 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.54 m.

Q2) 15.20 kg/s of air enters a turbine at 690 °C with a velocity of 64 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 112 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 5.00 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 18 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 19EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.43 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 215 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.42 m.

Q2) 9.80 kg/s of air enters a turbine at 540 °C with a velocity of 89 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 112 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.94 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 19 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 20EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.31 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 330 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.46 m.

Q2) 16.30 kg/s of air enters a turbine at 680 °C with a velocity of 84 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 120 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.86 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 20 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 21EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.50 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 430 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.47 m.

Q2) 6.30 kg/s of air enters a turbine at 940 °C with a velocity of 79 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 168 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.54 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 21 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 22EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.28 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 290 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.69 m.

Q2) 6.60 kg/s of air enters a turbine at 950 °C with a velocity of 52 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 124 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.99 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 22 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 23EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.26 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 340 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.64 m.

Q2) 12.00 kg/s of air enters a turbine at 670 °C with a velocity of 98 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 166 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.58 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 23 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 24EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.21 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 395 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.36 m.

Q2) 5.60 kg/s of air enters a turbine at 1200 °C with a velocity of 74 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 124 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.35 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 24 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 25EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.47 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 340 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.31 m.

Q2) 14.90 kg/s of air enters a turbine at 1070 °C with a velocity of 88 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 178 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.67 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 25 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 26EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.25 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 365 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.65 m.

Q2) 5.30 kg/s of air enters a turbine at 620 °C with a velocity of 72 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 136 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.23 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 26 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 27EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.27 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 320 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.41 m.

Q2) 13.10 kg/s of air enters a turbine at 840 °C with a velocity of 82 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 166 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.14 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 27 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 28EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.20 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 365 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.68 m.

Q2) 12.00 kg/s of air enters a turbine at 510 °C with a velocity of 74 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 126 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.50 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 28 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 29EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.39 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 385 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.35 m.

Q2) 12.80 kg/s of air enters a turbine at 850 °C with a velocity of 96 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 176 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.73 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 29 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 30EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.41 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 245 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.52 m.

Q2) 16.60 kg/s of air enters a turbine at 770 °C with a velocity of 59 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 132 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.67 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 30 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 31EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.27 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 395 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.62 m.

Q2) 15.60 kg/s of air enters a turbine at 750 °C with a velocity of 89 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 140 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.01 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 31 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 32EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.35 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 375 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.33 m.

Q2) 13.30 kg/s of air enters a turbine at 830 °C with a velocity of 77 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 160 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.71 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 32 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 33EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.21 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 300 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.46 m.

Q2) 9.60 kg/s of air enters a turbine at 650 °C with a velocity of 78 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 118 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.53 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 33 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 34EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.30 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 260 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.61 m.

Q2) 7.50 kg/s of air enters a turbine at 670 °C with a velocity of 68 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 134 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.59 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 34 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 35EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.39 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 320 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.69 m.

Q2) 8.30 kg/s of air enters a turbine at 860 °C with a velocity of 74 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 122 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.79 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 35 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 36EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.33 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 5 bars. Heat is added until the final temperature is 235 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.60 m.

Q2) 12.60 kg/s of air enters a turbine at 670 °C with a velocity of 58 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 170 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.53 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 36 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 37EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.26 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 5 bars. Heat is added until the final temperature is 395 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.67 m.

Q2) 19.90 kg/s of air enters a turbine at 1100 °C with a velocity of 73 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 122 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.86 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 37 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 38EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.35 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 230 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.75 m.

Q2) 19.60 kg/s of air enters a turbine at 950 °C with a velocity of 53 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 156 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.13 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 38 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 39EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.34 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 245 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.33 m.

Q2) 18.50 kg/s of air enters a turbine at 620 °C with a velocity of 66 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 114 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 2.84 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 39 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 40EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.46 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 310 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.38 m.

Q2) 16.40 kg/s of air enters a turbine at 800 °C with a velocity of 56 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 114 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.10 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 40 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 41EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.26 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 445 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.42 m.

Q2) 10.80 kg/s of air enters a turbine at 580 °C with a velocity of 60 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 154 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.00 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 41 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 42EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.23 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 340 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.44 m.

Q2) 10.90 kg/s of air enters a turbine at 1180 °C with a velocity of 90 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 174 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.82 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 42 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 43EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.44 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 8 bars. Heat is added until the final temperature is 345 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.79 m.

Q2) 14.80 kg/s of air enters a turbine at 970 °C with a velocity of 53 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 124 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.74 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 43 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 44EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.40 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 395 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.39 m.

Q2) 11.60 kg/s of air enters a turbine at 1050 °C with a velocity of 91 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 136 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.66 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 44 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 45EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.29 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 300 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.33 m.

Q2) 14.10 kg/s of air enters a turbine at 530 °C with a velocity of 87 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 134 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.22 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 45 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 46EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.20 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 5 bars. Heat is added until the final temperature is 275 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.70 m.

Q2) 13.80 kg/s of air enters a turbine at 880 °C with a velocity of 53 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 166 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.02 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 46 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 47EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.29 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 7 bars. Heat is added until the final temperature is 435 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.60 m.

Q2) 19.40 kg/s of air enters a turbine at 1100 °C with a velocity of 99 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 130 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.81 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 47 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 48EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.44 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 8 bars. Heat is added until the final temperature is 325 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.48 m.

Q2) 18.00 kg/s of air enters a turbine at 720 °C with a velocity of 95 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 118 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 4.09 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 48 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 49EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.39 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 8 bars. Heat is added until the final temperature is 270 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.43 m.

Q2) 14.40 kg/s of air enters a turbine at 850 °C with a velocity of 94 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 110 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.26 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 49 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 10.

Student Number 50EE

Name

Hand out date Hand in date

Q1). A cylinder of diameter 0.35 m, fitted with a gas tight, frictionless piston contains dry saturated steam at 6 bars. Heat is added until the final temperature is 310 ° C. Determine

i) the work done (kJ) [3 dp] (2 marks)ii) the heat supplied (kJ) [2 dp] (1 mark)iii) the change in internal energy (kJ). [2 dp] (2 marks)

You may assume that the piston is free to rise as a consequence of any expansion and at the start of the process the distance between the piston and the bottom of the cylinder is 0.75 m.

Q2) 7.80 kg/s of air enters a turbine at 580 °C with a velocity of 88 m/s. The air expands adiabatically as it passes through the turbine and leaves with a velocity of 136 m/s. It then enters a diffuser where the velocity is reduced to a negligible value. If the turbine produces 3.45 MW calculate

i) The temperature of the air at exit from the turbine (C) [1 dp] (3 marks)ii) The temperature of the air at exit from the diffuser (C) [1 dp] (3 marks)

You may assume that the Cp for air is constant and has a value of 1.005 kJ/kg K.

___________________________________________________________________________________WATS 10. Mark RussellStudent number 50 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

CreditsThis resource was created by the University of Hertfordshire and released as an open educational resource through the Open Engineering Resources project of the HE Academy Engineering Subject Centre. The Open Engineering Resources project was funded by HEFCE and part of the JISC/HE Academy UKOER programme.

© University of Hertfordshire 2009

This work is licensed under a Creative Commons Attribution 2.0 License.

The name of the University of Hertfordshire, UH and the UH logo are the name and registered marks of the University of Hertfordshire. To the fullest extent permitted by law the University of Hertfordshire reserves all its rights in its name and marks which may not be used except with its written permission.

The JISC logo is licensed under the terms of the Creative Commons Attribution-Non-Commercial-No Derivative Works 2.0 UK: England & Wales Licence.  All reproductions must comply with the terms of that licence.

The HEA logo is owned by the Higher Education Academy Limited may be freely distributed and copied for educational purposes only, provided that appropriate acknowledgement is given to the Higher Education Academy as the copyright holder and original publisher.

_______________________________________________________________________________________________