ENGR1300 - Exam1 Review Solutions

8/17/2019 ENGR1300 - Exam1 Review Solutions

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Exam 1 Review (10618659) - Learning Catalytics

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1.

In the year 2027, Titan Submersible Explorer (TSE) lands on a lake of methane (specific gravity

= 0.415) and submerges to a depth of 40 meters to explore the bottom of the lake. The surface pressure on Titan is 21.3 pounds-force per square inch (psi) and the acceleration due to gravity is

1.35 meters per second squared. What is the total pressure on the TSE at that depth in units ofkilopascals?

A. 1.69 kPa

B. 146 kPa

C. 169 kPa

D. 22 kPa

2.

The inside of an airplane is kept at 75 degrees Fahrenheit, or what most people would consider

"room temperature". What is the difference in temperature between the outside of the plane atcruising altitude (-60 degrees Celsius) and the inside of the plane at "room temperature", in units

of kelvins?

A. 151 kelvin

B. 272 kelvin C. -1 kelvin

D. 84 kelvin

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3.

The heat loss (Q / t, in units of calories per hour) from the surface of a hot liquid is given by:

Qt =hA(T −T 0)

Express the heat transfer coefficient (h) in fundamental dimensions if the area (A) is given inunits of square meters. Both the temperature of the liquid (T) and the ambient temperature (T0)

are measured in degrees Celsius.

M L T Q N I J

A 0 -2 0 -1 0 0 1

B 1 2 1 -1 0 0 0

C 1 0 -3 -1 0 0 0

D 0 0 0 0 0 0 0

A. A

B. B

C. C

D. D

4.

A simple expression for the velocity of molecules in a gas is:

v = √

In terms of fundamental dimensions, what are the units of the constant K if the velocity (v) is

given in meters per second, pressure (P) in pascals, and density (r) in kilograms per liter?

M L T Q N I J

A 0 -1 1 0 0 0 0

B 0 0 0 0 0 0 0

C -1 1 -1 0 0 0 0

D 0 -2 2 0 0 0 0

A. A

B. B

C. C

D. D



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5.

A "typical" astronaut has a weight of 200 pounds-force on Earth. What is the weight of the

astronaut on the International Space Station, in units of newtons? The gravity on the moon is 1.6meters per second squared. The gravity on Mars is 3.7 meters per second squared.

A. 0 N

B. 90.7 N

C. 889 N

D. 3,000 N

6.

The HRS protects the instrumentation from the harsh temperature of Mars. Express the average

temperature on Mars in units of kelvin. Mars' temperature ranges between 68 degrees Fahrenheit

to -220 degrees Fahrenheit.

A. 213 K

B. 297 K

C. 688 K

D. 333 K

7.

A colleague is calculating the thermal capacity of the HRS. Convert the specific heat of Freon

into units of BTU per mole dgree Fahrenheit. The specific heat of Freon is 74 joules per molekelvin.

A. 0.039 BTU / (mol °F)

B. 0.216 BTU / (mol °F)

C. 0.072 BTU / (mol °F)

D. 0.126 BTU / (mol °F)

8.

The Apollo missions brought back 2,415 rock samples from the moon weighing 382 kilogramsin total. What is the weight of the rocks on Earth, in units of pounds-force? The gravity on the

moon is 1.6 meters per second squared.

A. 842 lbf

B. 8.77 lbf

C. 16,638 lbf

D. 163 lbf

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9.

The Trieste was a Swiss-designed, Italian-built deep-diving research bathyscaphe with a crew of

two, which reached a record maximum depth in the Challenger Deep section of teh MarianaTrench in January 1960. If the vessel was designed to withstand 112 megapascals of total

pressure in salt water (SG = 1.025), how deep could the vessel safely travel?

A. 11,150 kilometers

B. 11.1 kilometers

C. 110 kilometers

D. 89.6 kilometers

10.

A scuba tank on land has a mass of 14.4 kilograms when empty and 16.2 kilograms when full.

How many moles of air does the tank hold? Assume the molecular weight of air is 29 grams per

mole.

A. 52,200 moles

B. 62 moles

C. 16 moles

D. 469,800 moles

11.

Since the Trieste, no manned craft has returned to the Challenger Deep section of the Mariana

Trench, but several robotic crafts have made the dive. The latest, the Nereus, is a remotely

operated underwater vehicle built by the Woods Hole Oceanographic Institution. In May 2009,the Nereus reached a depth of 35,768 feet.

Let us imagine that instead of salt water (SG = 1.025), the Nereus is used to explore vast sea of

benzene (SG = 0.876) -- assume you are still on Earth. If the pressure felt by the Nereus remains

the same in both instances, which of the following statements is true?

A. In benzene, the Nereus can dive to a deeper depth than 35,768 feet compared to salt

water.

B. In benzene, the Nereus can dive to the same depth of 35,768 feet compared to salt

water.

C. In benzene, the Nereus can dive to a shallower depth than 35,768 feet compared to saltwater.

D. There is not enough information presented to solve this problem.

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12.

At the end of 20,000 Leagues Under the Sea, the Nautilus becomes trapped in a powerful

whirlpool (Moskstraumen, off the coast of Norway). Assume instead the Nautilus encountered acategory 5 hurricane. If the pressure in the eye is 725 millimeter of mercury, what is this pressure

in units of feet of water?

A. 21.4 feet of water

B. 2.38 feet of water

C. 821 feet of water

D. 32.3 feet of water

13.

Inspired after reading 20,000 Leagues Under the Sea, we decide to go scuba diving in Lake

Jocassee. Lake Jocassee is a freshwater, man-made lake in South Carolina. At a depth of 30 feet,

what is the force in newtons on the outside of our mask if it can be modeled with a circular areawith a 6-inch diameter?

A. 7,215 newtons

B. 3,485.6 newtons

C. 13,847 newtons

D. 351 newtons

14.

The 1,230 kilogram DeLorean DMC-12 time machine must accelerate from a stop to 88 miles

per hour before the flux capacitor can function properly. What is the kinetic energy of the timemachine at this velocity in units of Megajoules?

A. 0.95 Megajoules

B. 1.9 Megajoules

C. 110 Megajoules

D. 3428 Megajoules

E. 447 Megajoules

15.

Determine the density of chlorine (Cl2) gas at 25 degrees Celsius and a pressure of 0.6atmospheres. Assume chlorine is an ideal gas and obeys the ideal gas law. The molecular weight

of chlorine is 70 grams per mole.

A. 0.00035 grams per liter

B. 0.58 grams per liter

C. 1.71 grams per liter

D. 20.4 grams per liter

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16.

Assume an 11 liter tank is filled with 80 moles of air, and the pressure gauge reads 203 bar.

What is the temperature of the air in the tank in units of degrees Celsius? Assume the molecularweight of air is 20 grams per mole.

A. 392 degrees Celsius

B. 608 degrees Celsius

C. 70 degrees Celsius

D. 62 degrees Celsius

17.

A "typical" astronaut has a weight of 35 pounds-force on the moon. What is the weight of the

astronaut on Mars, in units of pounds-force? The gravity on Mars is 3.7 meters per second

squared.

A. 81 lbf

B. 5.9 lbf

C. 207 lbf

D. 792 lbf

18.

The Lunar Rover Vehicle (LRV) weighs 463 pounds-force on Earth. What is the weight of the

LRV on the Moon, in units of pounds-force? The gravity on the moon is 1.6 meters per second

squared.

A. 75.6 lbf

B. 3.83 lbf

C. 463 lbf

D. 1,489 lbf

19.

Lightweight and strong materials are the key to habitation. The material used to build a habitat

on Mars has a specific gravity of 1.3. How much does one cubic yard of material weigh on Mars

in newtons? The gravity on Mars is 3.7 meters per second squared.

A. 3,680 N

B. 296 N

C. 0.37 N

D. 9,748 N

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20.

In calculating the mass of the HRS, the amount of Freon used must be taken into account. If the

HRS has a holding tank of 2.5 gallons and it is filled completely with Freon, what is the weightof Freon in units of pounds-force when the HRS has landed on Mars? The specific heat of Freon

is 74 joules per mole kelvin. The specific gravity of Freon is 1.49.

A. 11.75 lbf

B. 232 lbf

C. 31.1 lbf

D. 0.012 lbf

21.

A simple expression for the velocity of molecules in a gas is:

In terms of base SI units, what are the units of the constant K if the velocity (v) is given in meters per second, pressure (P) in pascals, and density (ρ) in grams per cubic centimeter?

A. K has units of seconds per meter

B. K has units of meters per second

C. K has units of grams per pascal cubic centimeter D. K has units of meters per second squared

E. K is unitless

22.

The heat loss (Q / t, in units of joules per second) from the surface of a hot liquid is given by:

Qt =hA(T −T 0)

Express the heat transfer coefficient (h) in base SI units if the area (A) is given in units of squaremeters. Both the temperature of the liquid (T) and the ambient temperature (T0) are measured in

degrees Celsius.

A. h has units of joules per (meters squared second)

B. h has units of kilograms per (seconds cubed degree Celsius)

C. h has units of kilogram meters squared second per (degree Celsius)

D. h has units of joules per (meter squared)

E. h is unitless

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23.

When a liquid is placed in a tube with a small inside diameter, the surface tension in the liquid

will cause the liquid to rise in the tube. The height (H) to which it will rise:

H =4σDρg

Here, σ is the surface tension, ρ the fluid density, D the tube inner diameter, and g the

acceleration of gravity. Mercury has a surface tension of 487 millinewtons per meter and a

specific gravity of 13.6. How high will the liquid rise in a tube with inside diameter of 0.25inches? Express your answer in units of centimeters.

A. 9.7 x 10^(-4) centimeters

B. 2.3 x 10^(-4) centimeters

C. 0.23 centimeters

D. 23 centimeters

E. 58.4 centimeters

24.

Which of the following is not a possible temperature of Jupiter's largest moon, Ganymede?

A. -121 degrees Celsius

B. -261 degrees Fahrenheit

C. 70 kelvins

D. 15 degrees Rankine

E. -5 degrees Rankine

25.

To complete a mechanical operation, a system required 500 joules of energy. Which of the

following power sources can you use to accomplish the task in less than 30 seconds?

A. 18 watts, 80% efficient

B. 18 watts, 120% efficient

C. 20 watts, 90% efficient

D. 20 watts, 120% efficient

E. 20 watts, 50% efficient

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26.

Space suits are designed to withstand temperatures of -180 degrees Fahrenheit to 277 degrees

Fahrenheit. What is teh coldest temperature the suits are designed to withstand in units ofkelvin?

A. 390 kelvin

B. 93 kelvin

C. 6.6 kelvin

D. 155 kelvin

E. -182 kelvin

27.

When a flowing fluid is stopped, its pressure increases. This is called stagnation pressure. Thestagnation pressure is determined by:

P stagnation = 122 + P atm

where ρ is the fluid density, v the fluid speed, and Patm the atmospheric pressure. Calculate thestagnation pressure in units of atmospheres for acetone flowing at 25 feet per second. Assume

the density of acetone to be 785 kilograms per cubic meter.

A. 121 atm

B. 2.4 atm

C. 1.2 atm

D. 1.03 atm

E. 0.2 atm

28.

On average, a bolt of lightning provides 500 Megajoules of energy. Doctor Emmitt Brown's flux capacitor

nees 1.21 Giga-watts of power to his DeLorean DMC-12 time machine. How long must the lightning bolt

be in contact with the car to completely charge the flux capacitor? Assume 100% of the energy from the

lightning is captured by the capacitor.

A. 2.4 seconds

B. 4.1 seconds

C. 24 seconds D. 0.4 seconds

E. 40 seconds

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29.

The DeLorean DMC-12's gasoline engine is able to accelerate from 0 to 60 miles per hour in 8.8

seconds, requiring 850 kilojoules of energy. The DeLorean's engine is rated at 170 horsepower.What is the efficiency of the engine during this acceleration expressed as a percentage?

A. 24%

B. 76%

C. 56%

D. 131%

E. 93%

30.

The flux capacitor provides 1.21 Giga-watts of power to the DeLorean DMC-12 time machine

using plutonium. Plutonium has a specific heat capacity of 35.5 joules per mole kelvin, and amolecular weight of 244 grams per mole. What temperature will the plutonium reach, in units of

kelvin, if a 25 gram sample of plutonium is heated with 100 joules? Assume the plutonium starts

at room temperature (72 degrees Fahrenheit).

A. 323 kelvin

B. 27.5 kelvin

C. 72.1 kelvin

D. 295 kelvin

E. 147 kelvin

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31.

Doctor Emmitt Brown's DeLorean is out of fuel. To return to his own time, he must get his time

machine up to a velocity of 88 miles per hour. He replaces the tires with rail wheels andconstructs a track down a steep hillside. Assuming that no energy is wasted on friction, how high

must the hill be in units of meters to achieve the required velocity at the bottom.

A. 774 meters

B. 79 meters

C. 158 meters

D. 120 meters

E. 455 meters

32.

Doctor Emmitt Brown's flux capacitor provides 1.21 Gigawatts of power to his DeLorean DMC-12 time machine. What is this in units of horsepower?

A. 1.62 x 10^6 horsepower

B. 162 horsepower

C. 903 horsepower

D. 9.03 x 10^6 horsepower

E. 62.8 horsepower

33.

The DeLorean featured in the movie is an actual car, made by John DeLorean. He had originallyenvisioned the car would produce 200 horsepower, but eventually settled on 170 horsepower

output for the engine. In the United States, the vehicles were required to have catalytic

converters, causing a 40 horsepower reduction in output power. If the DeLorean requires 850kilojoules to reach a speed of 60 miles per hour, how much longer does a US model take to reach

60 mph than its European counterpart?

A. 6.7 seconds

B. 2 seconds C. 1.25 seconds

D. 14 seconds

E. 8.7 seconds



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34.

Doctor Emmitt Brown's flux capacitor provides 1.21 Giga-watts of power to his DeLorean

DMC-12 time machine. If the flux capacitor discharges all of its stored energy in 1.2 seconds atthis power, what is the total energy discharged by the flux capacitor in units of kilowatt-hours?

A. 24,200 kilowatt-hours

B. 24 kilowatt-hours

C. 0.4 kilowatt-hours

D. 403 kilowatt-hours

E. 113 kilowatt-hours

35.

Plutonium isotopes undergo decay, producing heat. Plutonium isotope 239 (Pu-239) has 1.9watts per kilogram of decay heat. How much heat, in units of calories, will 1 mole of Pu-239

release after decaying for one hour? Assume plutonium has a polecular weight of 244 grams per

mole.

A. 398,880 calories

B. 1.6 calories

C. 0.11 calories

D. 56 calories

E. 400 calories

36.

Santa is trying to model various factors that impact his deliver time on Christmas Eve using

fundamental dimension and the equation laws.

where E = energy [J], V = volume [m3], and ρ = density [kg / m3]

What is the quantity through the use of fundamental dimensions?

A. Velocity

B. Acceleration

C. Force

D. Power

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37.

The thermal conductivity of Rudolph's nose is determined to be 50 watts per meter kelvin. What

is the thermal conductivity in units of BTU per (foot hour degrees Fahrenheit)?

A. 311 BTU / (ft h ºF)

B. 29 BTU / (ft h ºF)

C. 94 BTU / (ft h ºF)

D. 1,734 BTU / (ft h ºF)

38.

Heat Miser holds a plastic shovel in his hand, heating it to the point just before it starts to melt.

Assume the shovel has a weight of 0.196 Newtons. The temperature of Heat Miser's cave (andthus the original plastic) is 90 degrees Fahrenheit. If we add 500 joules of heat energy to the

plastic, what is the final temperature of the material? Assume the specific heat capacity of plastic

is 1.3 kilojoules per kilogram kelvin.

A. 93.5 ºF

B. 125 ºF

C. 109 ºF

D. 155 ºF



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39.

In his travels, Rudolph meets Yukon Cornelius, a prospector looking for silver and gold. Yukon

finds a cube, 1-inch on all sides, with a mass of 0.185 kilograms. What substance is the cubemade from?

A. Copper (SG = 8.96)

B. Lead (SG = 11.36)

C. Silver (SG = 10.5)

D. Gold (SG = 19.3)

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40.

After he is "reformed" by Yukon, everyone decides to keep the Abominable Snowman around because he can put a silver star on top of Christmas trees without a step-ladder. Assume Santa's

tree is 40 feet tall and the star has a mass of 10 kilograms. If Santa wants the job done quickly, in

under 1 minute, which of the following motots would need to be used if the AbominableSnowman is not available?

A. 18 watts, 120% efficient

B. 15 watts, 90% efficient

C. 25 watts, 80% efficient

D. 20 watts, 80% efficient



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41.

In the movie "Santa Claus is Coming to Town", the Mayor Burgermeister Meisterburger outlaws

toys after tripping on a rubber duck. To make rubber ducks un-crushable while being delivered

by Santa, the ducks are filled with an inert, harmless gas. A 2.5 gram sample of the gas fills a 5liter container. If the pressure in the container is 1.2 atmospheres at a temperature of 27 degrees

Celsius, what is the molecular weight of the gas in grams per mole?

A. 10.4 grams / mole

B. 1.21 grams / mole

C. 5 grams / mole

D. 9.25 grams / mole

_______________________________________________



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42.

The Grinch takes the sleigh full of presents to the top of Mount Crumpit, a 3,000 foot highmountain north of Whoville. If the sleigh full of presents weighs 500 Newtons, what is the

maximum speed the sleigh reaches at the bottom of the mountain when the Grinch decides to

return the presents to the Whos? Assume there is no friction.

A. 150 miles per hour

B. 542 miles per hour

C. 300 miles per hour

D. 2,138 miles per hour



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43.

The Grinch has a heart that is two sizes too small. If the Grinch's heart pumps 3 liters of blood

per minute, what is this rate in unit of cubic inches per second?

A. 3.05 in^3 / s

B. 3.05 x 10^(-3) in^3 / s

C. 0.328 in^3 / s

D. 820 in^3 / s

44.

Assume Frosty evaporates at a rate of 45 grams per minute on a bright sunny day.

If Frosty weighs 75 pound-mass, how many hours will it take for half of Frosty to evaporate?

A. 4.5 hours

B. 12.6 hours

C. 22.7 hours

D. 6.3 hours



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45.

Snow Miser sings the following song as a way of introduction in “The Year without a Santa

Claus”.

I'm Mister White Christmas, I'm Mister Snow

I'm Mister Icicle, I'm Mister Ten Below

Friends call me Snow Miser, Whatever I touch

Turns to snow in my clutch, I'm too much!

Assuming the “Ten Below” refers to units of degrees Fahrenheit, what is this temperature inkelvins?

A. - 23 kelvin B. 250 kelvin

C. 450 kelvin

D. - 10 kelvin



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46.

Fluid A fills a one gallon container and weighs 50 newtons. The density of Fluid B is 1125

kilograms per cubic meter and fills a one gallon container. Fluid C fills a two liter container andhas a specific gravity of 2. Which container has a higher mass? Assume the weight of the

container is negligible.

Hint: 1 gal = 3.785 L = 0.003785 cubic meters

A. The containers are of equal mass

B. The container holding Fluid A

C. The container holding Fluid B

D. The container holding Fluid C

E. The answer cannot be determined from the information given.

47.

After chasing Rudolph and his friends, the Abominable Snowman falls through the ice to a depthof 50 feet. Assume the Abominable Snowman weighs 300 pounds-force and the density of the

cold, salt water is 1027 kilograms per cubic meter. What is the hydrostatic pressure felt by theAbominable Snowman in units of atmospheres at a depth of 50 feet?

1 ft = 0.3048 m1 lb = 4.448 N

A. 13.5 atm

B. 5 atm

C. 152,000 atm

D. 1.5 atm

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ENGR1300 - Exam1 Review Solutions