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Introduction to Thermodynamics

    Lecture Notes Compiled by




   Dr. Subrahmanya S. Katte
               India
      http://sskatte.name        1
m e
                   Based on References
                                        .na
                                t t   e
Fundamentals of Classical Thermodynamics, G.J.Van Wylen


                              a
and R.E.Sontag, John Wiley and Sons, 1994


                 sk
Thermodynamics - an engineering approach, Yunus A.

                s
              /
Cengel and Michael Boles, TATA McGraw Hill, 2003


          : /
Thermodynamics, Holman J.P., 4th edition, McGraw Hill,

         p
       t
1998


    ht
A strong dose for motivation …

       “A theory is more impressive the greater is the
simplicity of its premises, the more different are the things it
relates, and the more extended its range of applicability.
Therefore, the deep impression which Classical
Thermodynamics made on me. It is the only physical theory
of universal content which I am convinced, that within the
framework of applicability of its basic concepts will never be
overthrown.”

      - Albert Einstein

(as quoted in Fundamentals of Engineering Thermodynamics
by Howells, J. P., and Buckius, R. O.)
Introduction
Thermodynamics

                                                  m e
                                            a
   - study of energy transfer and transformation of energy



                                     e   .n
   - its effect on physical properties of substances



                                 t t
Generalisation of extensive empirical evidence


                             a
   (however, most principles can be derived from kinetic
   theory)

                   ss      k
               / /
Energy propels society

             :
          t p
Thermodynamic laws govern principles of energy conversion

        t
    h
Provides scientific basis for analysis of energy conversion
schemes
Applications
Power plants, Direct energy converters, R&AC, IC Engines,
Compressors, Jet Propulsion, Rocket Engines
Approaches
Microscopic or Statistical Thermodynamics

                                             me
                                        . na
Detailed molecular and atomic nature of matter considered
Behaviour described by summing up that of each molecule


                                t t   e
Eg.: Pressure is average rate of change of momentum due to

                              a
all molecular collisions on a unit area

                        k
                   / s s
Macroscopic or Classical Thermodynamics


             : /
Only bulk nature and properties of matter considered

           p
    t t
Continuum assumed

   h
Concerned with perceivable effects of many molecules
Dimensions and Units
Mass             m                        kg

                                           me
Force            F = ma
                 W = mg
                                      . na kg m/s2 or N



                                t   e
                 g = 9.80665 m/s2 at MSL

                              t
                            a
                 max at 4500 m below MSL


                       k
                 at centre of earth?



                  / s s
                 up to 30 km, variation < 1%
Volume


          p : /  V                        m3


      t
Density          ρ                        kg/m3


   ht
Specific Volume v
                (v = 1/ρ)
                                          m3/kg
Pressure                p = F/A
                                              e
                                           N/m2 or Pa

                                             m
                                           a
                        1 bar = 105 Pa


                                          n
                        Atm pressure: 1.01325 bar
Temperature             T

                                  t   e . K


                              a t         K = oC+273.15
Molar specific volume


                     s sk
                        v=V n             m3/kmol
Energy, Work

             : /   /    F.s               Nm or J


           p
Power                                     J/s or W



   ht t
Basic Concepts
System

                                             me
                                           a
   quantity of matter or region in space upon which attention
   is focused in the analysis


                                      e . n
Surroundings

                              a t t
  matter and everything outside the system

Boundary

                     s sk
               /   /
  separation between system and surroundings

             :
  - fixed or moving


      t    p
  - real or imaginary

    t
   h
Universe
  comprised of system and its surroundings
Types of Systems
                        Isolated System
   Open System        No interaction with
 (Control Volume)     surroundings
Both energy and       Mass and energy
mass cross boundary   fixed
                      Not influenced by
                      surroundings
                      Eg.: Perfect flask,
                      Universe (?)

 Closed System
 (Control Mass)
Only energy
crosses boundary
Properties

physical condition may be described
                                             me
Properties are characteristics of system by which its




                                        . na
Intensive Properties are independent of quantity of matter


                                  t   e
in the system, Eg.: p, T, v, ρ, u, h, s

                                t
                              a
Extensive properties are dependent of quantity of matter in

                          k
                         s
the system, Eg.: m, V, U, H, S


                 /   / s
All specific properties (extensive properties per unit mass)

               :
             p
are intensive properties



   ht t
Uppercase letters are used for extensive properties
Lowercase letters are used for intensive properties
me
                                                  a
                          p, V, T, m, v, ρ




                                             e . n
                                    t t
           System divided into two equal parts



                                  a
                 s sk
               /
        p, V/2, T, m/2,                      p, V/2, T, m/2,



         : /
             v, ρ                                 v, ρ




 t t   p
h
  Each part will have
    - the same value of intensive properties
    - half the value of extensive properties
exist at a definite State

                                              me
When all properties have definite values, system is said to



                                            a
                           Or


                                         . n
State of a system is described by specifying its


                                       e
thermodynamic co-ordinates, called properties


                               a t t
Whenever one or more properties of system change, we say


                         k
that Change of State has occurred



                    / s s
For isolated system, the state never changes- no interaction


              : /
Succession of states passed through during a change of state

            p
       t
is called Path


    ht
When path is completely specified, change of state is called a
 Process
e
For a series of changes of state, if the final state is identical

                                               m
                                             a
with the initial, a Thermodynamic Cycle is completed

Thermodynamic Equilibrium

                                        e . n
                                  t t
System is said to be in thermodynamic equilibrium when no

                                a
                         k
change in any property is observed if the system is isolated


                        s
                             Or


                    / s
When the pressure, temperature and density are uniform


              : /
     t t    p
    h
Thermodynamic Equilibrium has to satisfy three conditions:

                                              e
1. Mechanical equilibrium- no unbalanced forces within

                                             m
                                           a
   the system and also between the system and


                                          n
   surroundings


                                  t   e .
2. Chemical equilibrium- no chemical reaction or diffusion
   or solution (mass transfer)

                              a t
                     s sk
3. Thermal equilibrium- when a system in mechanical and
   chemical equilibrium is separated from surroundings by


               /   /
   a diathermic* wall, there is no spontaneous change in

             :
           p
   any properties, i.e., equality of temperature



   ht t
 * Diathermic wall allows heat transfer
   Adiabatic wall does not allow heat transfer
An isolated system always         reaches   thermodynamic
equilibrium in a course of time
Quasi-static Process

                                               e
Properties are defined only when the system is in

                                              m
                                            a
thermodynamic equilibrium


                                         . n
Otherwise, different parts of system are at different states at

                                       e
                                   t
same time, it is not possible to define one “state” of system


                               a t
Since the process takes place only because of inequilibrium,



                      s sk
how to explain the states of the system during a process?




              : /   /
     t t    p
    h
Ideal / Reversible / Quasi-static Process

                                             me
equilibrium is infinitesimal
                                        . na
A process in which deviation from thermodynamic

                             Or

                                t t   e
All the states the system passes through may be considered
equilibrium states

                        k     a
                   / s s
           p : /
    ht t
State Principle

chemical composition through out its mass
                                               me
Pure Substance is one that has homogeneous and invariable




                                          . na
Pure substance may exist in more than one phase, a phase is


                                        e
a quantity of matter that is homogeneous throughout



                                a t t
Homogeneous System- one in which the components and


                         k
phases are uniformly distributed though out the volume



                    / s s
State Principle or Two-property Rule


              : /
Certain properties are functionally related


            p
    h  t
For a pure substance, only two properties are required to

     t
define the state
This is an experimental fact!
State Diagram
The state thus can be represented as a point on property
diagram called State Diagram
Eg.: p-v, p-T, T-v, T-s, h-s diagrams
A question …
Answer to the Question …

                              (3)

                                               me
                                          . na
One would expect the pressure to increase and the volume to


                                        e
decrease through the compressor. 2 and 3 meet this test


                                a t t
One would expect the exhaust of the engine to be hotter than


                        sk
the inlet flow, (at the same pressure, the volume is less at the

                      s
inlet- meaning it must be colder)


              : /   /
     t t    p
    h
Ideal Gas

                                            e
A mole is a quantity of a substance having a mass

                                           m
                                         a
numerically equal to its molecular weight
M = m/n

                                    e . n
M
m
     molecular weight, kg/kmol
     mass, kg
                            a t t
n    number of kmol


                     s sk
             : /   /
     t t   p
    h
Equation of State
Regardless of the gas, all isotherms converge to a single
point for the limit of zero pressure




                    Isotherms
                                      pv
pv/T                              Lim    =R
                                  p→0 T

                                 Universal Gas Constant
                                  R = 8314.4 J / kmolK

                    p
e
         pv
     Lim    =R
     p→0 T



                                          a m
To a good approximation many gases, at pressures up to


                                       . n
tens of atmospheres, behave according to (low temperatures)

                                     e
       p v = RT

                             a t t
since v = V n

                     s sk
        V
       p = RT
             : /   /
           p
        n



   ht tpV = n RT
e
since v = V/m or V = mv

     pmv = n RT

                                        a m
  or pv =
          nR
             T
                                   e . n
          m

                           a t t
                       k
since m = nM

     pv = / T
          nR

                  / s s
          /
          nM


          p : /              R

      t
by denoting Gas Constant R =


   ht pv = RT
                             M
since v = V/m


                                            me
                                          a
       V
      p = RT

                                         n
       m


                                 t   e .
      pV = mRT

                             a t
         V
      p = RT

                      s sk
                    /
         m

or
            p
      p = ρRT
              : /
     ht t
for two different states
       p1V1 = mRT1
                                              me
        p2 V2 = mRT2
                                         . na
                                 t t   e
                               a
by dividing

               / /
        p1V1 mRT1
             =
                        s sk
               / /
        p2 V2 mRT2


                : /   /
     t t  T1
             =
              p
         p1V1 p2 V2
               T2

    h

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Introductiontothermodynamicsdrkatte

  • 1. Introduction to Thermodynamics Lecture Notes Compiled by Dr. Subrahmanya S. Katte India http://sskatte.name 1
  • 2. m e Based on References .na t t e Fundamentals of Classical Thermodynamics, G.J.Van Wylen a and R.E.Sontag, John Wiley and Sons, 1994 sk Thermodynamics - an engineering approach, Yunus A. s / Cengel and Michael Boles, TATA McGraw Hill, 2003 : / Thermodynamics, Holman J.P., 4th edition, McGraw Hill, p t 1998 ht
  • 3. A strong dose for motivation … “A theory is more impressive the greater is the simplicity of its premises, the more different are the things it relates, and the more extended its range of applicability. Therefore, the deep impression which Classical Thermodynamics made on me. It is the only physical theory of universal content which I am convinced, that within the framework of applicability of its basic concepts will never be overthrown.” - Albert Einstein (as quoted in Fundamentals of Engineering Thermodynamics by Howells, J. P., and Buckius, R. O.)
  • 4. Introduction Thermodynamics m e a - study of energy transfer and transformation of energy e .n - its effect on physical properties of substances t t Generalisation of extensive empirical evidence a (however, most principles can be derived from kinetic theory) ss k / / Energy propels society : t p Thermodynamic laws govern principles of energy conversion t h Provides scientific basis for analysis of energy conversion schemes
  • 5. Applications Power plants, Direct energy converters, R&AC, IC Engines, Compressors, Jet Propulsion, Rocket Engines
  • 6. Approaches Microscopic or Statistical Thermodynamics me . na Detailed molecular and atomic nature of matter considered Behaviour described by summing up that of each molecule t t e Eg.: Pressure is average rate of change of momentum due to a all molecular collisions on a unit area k / s s Macroscopic or Classical Thermodynamics : / Only bulk nature and properties of matter considered p t t Continuum assumed h Concerned with perceivable effects of many molecules
  • 7. Dimensions and Units Mass m kg me Force F = ma W = mg . na kg m/s2 or N t e g = 9.80665 m/s2 at MSL t a max at 4500 m below MSL k at centre of earth? / s s up to 30 km, variation < 1% Volume p : / V m3 t Density ρ kg/m3 ht Specific Volume v (v = 1/ρ) m3/kg
  • 8. Pressure p = F/A e N/m2 or Pa m a 1 bar = 105 Pa n Atm pressure: 1.01325 bar Temperature T t e . K a t K = oC+273.15 Molar specific volume s sk v=V n m3/kmol Energy, Work : / / F.s Nm or J p Power J/s or W ht t
  • 9. Basic Concepts System me a quantity of matter or region in space upon which attention is focused in the analysis e . n Surroundings a t t matter and everything outside the system Boundary s sk / / separation between system and surroundings : - fixed or moving t p - real or imaginary t h Universe comprised of system and its surroundings
  • 10. Types of Systems Isolated System Open System No interaction with (Control Volume) surroundings Both energy and Mass and energy mass cross boundary fixed Not influenced by surroundings Eg.: Perfect flask, Universe (?) Closed System (Control Mass) Only energy crosses boundary
  • 11. Properties physical condition may be described me Properties are characteristics of system by which its . na Intensive Properties are independent of quantity of matter t e in the system, Eg.: p, T, v, ρ, u, h, s t a Extensive properties are dependent of quantity of matter in k s the system, Eg.: m, V, U, H, S / / s All specific properties (extensive properties per unit mass) : p are intensive properties ht t Uppercase letters are used for extensive properties Lowercase letters are used for intensive properties
  • 12. me a p, V, T, m, v, ρ e . n t t System divided into two equal parts a s sk / p, V/2, T, m/2, p, V/2, T, m/2, : / v, ρ v, ρ t t p h Each part will have - the same value of intensive properties - half the value of extensive properties
  • 13. exist at a definite State me When all properties have definite values, system is said to a Or . n State of a system is described by specifying its e thermodynamic co-ordinates, called properties a t t Whenever one or more properties of system change, we say k that Change of State has occurred / s s For isolated system, the state never changes- no interaction : / Succession of states passed through during a change of state p t is called Path ht When path is completely specified, change of state is called a Process
  • 14. e For a series of changes of state, if the final state is identical m a with the initial, a Thermodynamic Cycle is completed Thermodynamic Equilibrium e . n t t System is said to be in thermodynamic equilibrium when no a k change in any property is observed if the system is isolated s Or / s When the pressure, temperature and density are uniform : / t t p h
  • 15. Thermodynamic Equilibrium has to satisfy three conditions: e 1. Mechanical equilibrium- no unbalanced forces within m a the system and also between the system and n surroundings t e . 2. Chemical equilibrium- no chemical reaction or diffusion or solution (mass transfer) a t s sk 3. Thermal equilibrium- when a system in mechanical and chemical equilibrium is separated from surroundings by / / a diathermic* wall, there is no spontaneous change in : p any properties, i.e., equality of temperature ht t * Diathermic wall allows heat transfer Adiabatic wall does not allow heat transfer
  • 16. An isolated system always reaches thermodynamic equilibrium in a course of time
  • 17. Quasi-static Process e Properties are defined only when the system is in m a thermodynamic equilibrium . n Otherwise, different parts of system are at different states at e t same time, it is not possible to define one “state” of system a t Since the process takes place only because of inequilibrium, s sk how to explain the states of the system during a process? : / / t t p h
  • 18. Ideal / Reversible / Quasi-static Process me equilibrium is infinitesimal . na A process in which deviation from thermodynamic Or t t e All the states the system passes through may be considered equilibrium states k a / s s p : / ht t
  • 19. State Principle chemical composition through out its mass me Pure Substance is one that has homogeneous and invariable . na Pure substance may exist in more than one phase, a phase is e a quantity of matter that is homogeneous throughout a t t Homogeneous System- one in which the components and k phases are uniformly distributed though out the volume / s s State Principle or Two-property Rule : / Certain properties are functionally related p h t For a pure substance, only two properties are required to t define the state This is an experimental fact!
  • 20. State Diagram The state thus can be represented as a point on property diagram called State Diagram Eg.: p-v, p-T, T-v, T-s, h-s diagrams
  • 22. Answer to the Question … (3) me . na One would expect the pressure to increase and the volume to e decrease through the compressor. 2 and 3 meet this test a t t One would expect the exhaust of the engine to be hotter than sk the inlet flow, (at the same pressure, the volume is less at the s inlet- meaning it must be colder) : / / t t p h
  • 23. Ideal Gas e A mole is a quantity of a substance having a mass m a numerically equal to its molecular weight M = m/n e . n M m molecular weight, kg/kmol mass, kg a t t n number of kmol s sk : / / t t p h
  • 24. Equation of State Regardless of the gas, all isotherms converge to a single point for the limit of zero pressure Isotherms pv pv/T Lim =R p→0 T Universal Gas Constant R = 8314.4 J / kmolK p
  • 25. e pv Lim =R p→0 T a m To a good approximation many gases, at pressures up to . n tens of atmospheres, behave according to (low temperatures) e p v = RT a t t since v = V n s sk V p = RT : / / p n ht tpV = n RT
  • 26. e since v = V/m or V = mv pmv = n RT a m or pv = nR T e . n m a t t k since m = nM pv = / T nR / s s / nM p : / R t by denoting Gas Constant R = ht pv = RT M
  • 27. since v = V/m me a V p = RT n m t e . pV = mRT a t V p = RT s sk / m or p p = ρRT : / ht t
  • 28. for two different states p1V1 = mRT1 me p2 V2 = mRT2 . na t t e a by dividing / / p1V1 mRT1 = s sk / / p2 V2 mRT2 : / / t t T1 = p p1V1 p2 V2 T2 h