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    BASIC CONCEPTS

    AND DEFINITIONS

    Dr. Jamil Ahmed

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    Verily in the heavens and the earth, are Signs for those who believe.

    And in the creation of yourselves and the fact that animals are scattered (through the earth), are Signs for those

    of assured Faith.

    And in the alternation of Night and Day, and the fact that Allah sends down Sustenance from the sky, andrevives therewith the earth after its death, and in the change of the winds,- are Signs for those that are wise.

    Such are the Signs of Allah, which We rehearse to thee in Truth; then in what exposition will they believe after

    (rejecting) Allah and His Signs?

    Woe to each sinful dealer in Falsehoods:

    He hears the Signs of Allah rehearsed to him, yet is obstinate and lofty, as if he had not heard them: then

    announce to him a Penalty Grievous!

    Al-Qur'an, 045.003-008 (Al-Jathiya)

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    Thermodynamics A branch of Physics

    Thermodynamics = therme(heat) and dynamis(power)

    A science of energy A science of energy and entropy

    Deals with energy and energy transformations

    Deals with the conservation of energy (quantity)during transformations

    Deals with the direction of energy transformationprocesses (quality)

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    Some Application Areas

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    Some Application Areas

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    Some Application Areas

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    Some Application Areas

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    Some Application Areas

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    A Thermodynamic System

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    A Thermodynamic System comprises a device or a combination of devices containing a

    quantity of matter that is being studied

    To precisely define a thermodynamic system, a control volumeis chosen (a control boundary is drawn) such that it contains thedevices and the matter under investigation

    Control mass with or without movable boundary

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    A Thermodynamic System

    Open systems Control Volume

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    A Thermodynamic System

    Types ofthermodynamic

    systems

    What can cross the boundary?

    Heat Work Mass

    Isolated System No No NoClosed System Yes Yes * No

    Open System Yes Yes * Yes +

    * May have moving boundaries+ May have imaginary boundaries

    Control mass

    Control volume

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    Macro- vs. Microscopic Approach

    25 mm

    25mm

    1020 atoms

    Monatomic gas

    Atmospheric temperature and pressureTo specify using the microscopic point of view:

    Position of an atom: 3 coordinates Velocity of an atom: 3 components

    Description of complete system requires:6 1020 equations

    A COMPUTATIONAL CHALLENGE!

    Two approaches to reduce the number of simultaneous equations, so that the problembecome manageable, are:

    1) STATISTICAL APPROACH: We deal with average values for all particles under

    consideration. This is the approach used in kinetic theory and statistical mechanics

    2) MACROSCOPIC VIEW: Here we are concerned with the gross or average effectsof many molecules. These effects can be perceived by our senses and measuredby instruments (i.e., the time-averaged influence of many molecules). Example:pressure of a gas exerted on the walls of a container. Macroscopic observations arecompletely independent of our assumptions regarding the nature of matter

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    Continuum

    From the macroscopic point of view,

    we are always concerned withvolumes that are very large comparedto molecular dimensions. Because weare not concerned with the behavior ofindividual molecules, we can treat thesubstance as continuous. This

    concept of continuum loses validitywhen the mean-free path of themolecules approaches the order ofmagnitude of the dimensions of thevessel, e.g., in high-vacuumtechnology

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    Properties and State of a Substance

    A phase is defined as a quantity that is homogeneous throughout. For

    example, phases of water are ice, water and vapor.

    More than one phase can coexist, separated by phase boundaries. Ineach phase, the substance may exist at various pressures andtemperatures, or in thermodynamic terms, in various states.

    The state may be identified or described in terms of a unique set ofcertain observable macroscopic properties, e.g., temperature,pressure, density, etc.

    In a given state, each of the properties has only one definite value,and these properties always have the same value for a given state,regardless of how the substance arrived at the state.

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    ,...,,,, 111111 suPTS

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    Properties of a System

    The term properties of system implies that some properties have

    significance for the entire system. This is true especially when thesystem is in thermodynamic equilibrium Thermal equilibrium: there is no temperature differential through the system

    Mechanical equilibrium: there is no change in pressure in the system

    Phase equilibrium: the mass of each phase reaches an equilibrium level and staysthere

    Chemical equilibrium: the chemical composition of the system does not change withtime

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    Water

    Vapor, P > 0

    After some time

    Water

    Vapor, P = Pv

    After long time

    Water

    Vacuumt= 0, P = 0

    At t = 0

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    Intensive and Extensive Properties

    Two types of thermodynamic properties: intensive and extensive.

    An intensive property is independent of the mass, whereas the valueof an extensive property varies directly with the mass.

    Extensive properties per unit mass are intensive properties

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    Intensive Extensive

    Pressure Mass

    Temperature Total Volume

    Density

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    A Simple Compressible System

    If we have a system where the gravitational,electrical, magnetic, motion and surface tensioneffects are absent, then this system is called a simplecompressiblesystem

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    The State Postulate

    The state of a simple compressible systemis completelyspecified by two independent, intensive properties

    Two properties are independent if one property can be varied

    while the other one is held constant

    The gravitational, electrical, magnetic, motion and surfacetension effects are usually negligible for most engineeringproblems. Otherwise, an additional property needs to be

    specified for each effect that is significant.

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    Processes and Cycles When properties of a system change, we

    say that a change in statehas occurred.

    The series of states through which asystem passes during a process is calleda path

    The path of the succession of statesthrough which the system passes iscalled the process.

    To describe a process completely initialand final statesas well as the pathitfollows, and the interactions with thesurroundings should be specified

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    A process with identical end statesis called a cycle

    Process diagrams plotted by employing thermodynamicproperties as coordinates are very useful in visualizing theprocesses.

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    Ideal and Non-ideal Processes

    Ideal process: A process in which the

    deviation from thermodynamic equilibriumis infinitesimal. All the states the systempasses through during a quasi-equilibriumprocess may be considered equilibriumstates. Also called quasi-equilibriumprocess

    For non-equilibrium (non-ideal)processes, we are limited to a descriptionof the system before the process occursand after the process is completed andequilibrium is restored. We are unable tospecify each state through which the

    system passes, or the rate of the process,however, we are able to describe certainoverall effects that occur during theprocess.

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    (b) Fast compression (non quasi-equilibrium)

    20 pa

    20 pa

    90 pa

    State 1

    State 2

    P

    V

    Non-equilibruim

    process

    20

    90

    ?

    (a) Slow compression (quasi-equil ibrium)

    20 pa 20 pa

    20 pa

    20 pa 20 pa

    State 1

    State 2 Process path

    P

    V

    Intermediate

    states

    20

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    Thermodynamic vs. Mechanical Cycle

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    Iso-processes

    The prefix iso- is used to describe processes inwhich one property remains constant, e.g.,

    Isothermal: constant temperature

    Isobaric: constant pressure

    Isochoric: constant volume

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    Units of Time, Length, Mass and ForceTime (second, s): One second isthe time required for a beam ofcesium-133 atoms to resonate

    9 192 631 770 cycles in a cesiumresonator. (General Conference ofWeights and Measures CGPM,1967)

    1 ft = 0.3048 m

    Length(meter, m): One meter isthe length of the path traveled bylight in a vacuum during a time

    interval of 1 / 299 792 458 of asecond. (CGPM, 1983)

    Mass (kilogram, kg): The mass ofa certain platinum-iridium cylindermaintained under prescribedconditions at the InternationalBureau of Weights and Measures

    1 lbm = 0.453 592 37 kg

    1 lbf = 32.174 lbm 1 ft/s2

    The SI units derived from propernouns use capital letters forsymbols; others use the lowercaseletters. The liter, with the symbol L,is an exception.

    F = m a1 N = 1 kg 1 m/s2

    gravitational constant, g= 9.806 65 m/s2

    = 32.174 ft/s2

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    Units of Time, Length, Mass and Force

    Dimensions SI EES Conversion

    Length meter (m) foot/ feet (ft) 1 ft = 0.3048 m

    Time second (s) second (s)

    Mass kilogram (kg) pound-mass (lbm) 1 lbm = 0.45359 kg

    Force newton (N) pound-force (lbf) 1 lbf = 4.448 N

    Unit Force 1 kg 1 m/s2 32.174 lbm 1 ft/s21 lbm 32.174 ft/s2

    Temperature degree Celsius (C)degree Fahrenheit

    (F)C = (5/9) (F-32)

    Absolute Temp.Kelvin (K)

    K = C + 273.15Rankine (R)

    R = F + 459.67K = (5/9) R

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    Energy

    A fundamental concept

    Energy is defined as the capability to produce an effect

    Energy can be stored within a system and can be transferredfrom one system to another (e.g., heat)

    From a molecular point of view, energy is stored as:a) Intermolecularpotential energy (forces between molecules)

    b) Molecular kinetic energy (translational velocity of individual molecules)c) Intramolecular energy (energy within the individual molecules)

    Electronic energy Nuclear energy Rotational energy Vibrational energy

    From the macroscopic point of view, we are

    concerned only with the energy that istransferred as heat, causing change inproperties (temperature, pressure) and thechange in total energy that the water containsat any instant.

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    Specific Volume and Density Specific Volume: Volume per unit mass, v

    Density: Mass per unit volume, = 1/v

    Specific volume vary with location in the gravitational field. As altitudeincreases, specific volume increases.

    Specific gravity: the ratio of the density of a substance to the densityof some standard substance at specified temperature (usually water at4 oC)

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    Pressure

    The term pressure is applicable for liquids and gases. For solids, the

    term stress is applicable.

    Pressure is defined as the normal component of force per unit area.

    UNITS

    1 Pa = 1 N/m2

    1 bar = 105 Pa = 0.1 MPa

    1 atm = 101 325 Pa = 14.696 lbf/in2

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    Gas Pressure and External Forces

    The pressure exerted by the gas on all its boundaries is thesame (when the gas is in equilibrium state).

    This pressure is fixed (determined) by the external forceacting on the piston, since the internal (PA) and the externalforces (Fext) must be balanced for the piston to remainstationary.

    Alternately, if heat is supplied to the gas from the outside, thegas pressure will increase, but the piston will move outwardsto establish a force balance at a new equilibrium state.

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    Absolute and Gauge Pressure

    Pressure and vacuum gauges read the difference between the absolute pressureand the atmospheric pressure existing at the gauge.

    Pressure below, and slightly above atmospheric, and pressure differences (e.g.,across an orifice) are measured using manometers containing water, alcohol,mercury, oil and other fluids.

    atmabsatmvac

    atmatmabsgage

    PPPP

    PPPP

    belowpressurefor

    abovepressurefor

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    Equality of TemperatureTemperature is difficult to define exactly.

    Sense of hotness or coldness, when we touch an object.

    When a hot and a cold body are brought in contact, hot body gets colder and the cold body getshotter, and after sometime they both appear to attain a same level of hotness or coldness.

    Our sense of hotness or coldness is very UNRELIABLE.

    Because of these difficulties of defining temperature, we define equality of temperature. We say

    that two bodies have equality of temperature if, when they are in thermal communication,no change in any observable property occurs.

    t = 0 t = t

    Electrical resistance

    Physical dimensions

    Height of Hg column

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    The Zeroth Law of ThermodynamicsThe Zeroth Law of Thermodynamics states that when two bodies have equality of temperature with a thirdbody, they in turn have equality of temperature with each other.

    No change in thethermometer reading Equality of temperature exists between

    the two blocks.

    If the thermometer is according to astandard measuring scale, we canmeasure the temperature.

    Note the thermometerreading

    Therefore, both blocks arein thermal equilibrium withthe thermometer

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    Temperature Scales

    The temperature of the Ice point is defined as the temperature of a mixture of ice and water that isin equilibrium with saturated air at a pressure of 1 atm.

    The temperature of the Steam point is defined as the temperature of water and steam that is inequilibrium at a pressure of 1 atm.

    Ice point Steam PointFahrenheit 32 212Celsius 0 100

    Absolute Scale: K = oC + 273.15

    Rankine Scale: R = oF + 459.67