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Semester
3
Engineering
Thermodynamics
Second Law of
Thermodynamics
Crated by :- Manthan Kanani
1
Babaria Institute
Of Technology
Mechanical
Engineering
2nd Law Of thermodynamic
2
ENGINEERING THERMODYNAMICS
Introduction
 A process must satisfy the first law in order to occur.
 Satisfying the first law alone does not ensure that the process will take
place.
 Second law is useful:
 provide means for predicting the direction of processes,
 establishing conditions for equilibrium,
 determining the best theoretical performance of cycles, engines a
nd other devices.
ENGINEERING THERMODYNAMICS
2nd Law Of Thermodynamic
3
A cup of hot coffee does n
ot get hotter in a cooler ro
om.
Transferring heat to a wire w
ill not generate electricity.
Transferring hea
t to a paddle wh
eel will not caus
e it to rotate.
These processes cannot occur
even though they are not in vi
olation of the first law.
2nd Law Of Thermodynamic
4
ENGINEERING THERMODYNAMICS
Second Law of Thermodynamics
Kelvin-Planck statement
 No heat engine can have a th
ermal efficiency 100 percent.
 As for a power plant to opera
te, the working fluid must ex
change heat with the environ
ment as well as the furnace.
2nd Law Of Thermodynamic
5
ENGINEERING THERMODYNAMICS
Heat Engines
 Work can easily be converted to other forms of
energy, but?
 Heat engine differ considerably from one anot
her, but all can be characterized :
o they receive heat from a high-temperature sour
ce
o they convert part of this heat to work
o they reject the remaining waste heat to a low-
temperature sink atmosphere
o they operate on a cycle
2nd Law Of Thermodynamic
6
ENGINEERING THERMODYNAMICS
The work-producing d
evice that best fit into
the definition of a hea
t engine is the steam p
ower plant, which is a
n external combustion
engine.
2nd Law Of Thermodynamic
7
ENGINEERING THERMODYNAMICS
Thermal Efficiency
 Represent the magnitude of the energy wasted in order to comp
lete the cycle.
 A measure of the performance that is called the thermal efficie
ncy.
 Can be expressed in terms of the desired output and the requir
ed input
th
DesiredResult
RequiredInput
 For a heat engine the desired result is the net work done an
d the input is the heat supplied to make the cycle operate.
2nd Law Of Thermodynamic
8
ENGINEERING THERMODYNAMICS
The thermal efficiency is always less than 1 or less than 100 per
cent.
th
net out
in
W
Q

,
W W W
Q Q
net out out in
in net
,  

where
2nd Law Of Thermodynamic
9
ENGINEERING THERMODYNAMICS
 Applying the first law to the cyclic heat engine
Q W U
W Q
W Q Q
net in net out
net out net in
net out in out
, ,
, ,
,
 

 

 The cycle thermal efficiency may be written as
 th
n e t o u t
in
in o u t
in
o u t
in
W
Q
Q Q
Q
Q
Q



 
,
1
2nd Law Of Thermodynamic
10
ENGINEERING THERMODYNAMICS
 A thermodynamic temperature scale related to the heat transfers betw
een a reversible device and the high and low-temperature reservoirs b
y
Q
Q
T
T
L
H
L
H

 The heat engine that operates on the reversible Carnot cycle is calle
d the Carnot Heat Engine in which its efficiency is
threv
L
H
T
T
,  1
2nd Law Of Thermodynamic
11
ENGINEERING THERMODYNAMICS
Heat Pumps and Refrigerators
 A device that transfers heat from a low temperature medi
um to a high temperature one is the heat pump.
 Refrigerator operates exactly like heat pump except that t
he desired output is the amount of heat removed out of th
e system
 The index of performance of a heat pumps or refrigerator
s are expressed in terms of the coefficient of performance.
2nd Law Of Thermodynamic
12
ENGINEERING THERMODYNAMICS
2nd Law Of Thermodynamic
13
ENGINEERING THERMODYNAMICS
COP
Q
W
Q
QQ
HP
H
netin
H
H L
 
,
COP
Q
W
R
L
net in

,
2nd Law Of Thermodynamic
14
ENGINEERING THERMODYNAMICS
Carnot Cycle
Process Description
1-2 Reversible isothermal heat addition at high temp
erature
2-3 Reversible adiabatic expansion from high temper
ature to low temperature
3-4 Reversible isothermal heat rejection at low temp
erature
4-1 Reversible adiabatic compression from low temp
erature to high temperature
2nd Law Of Thermodynamic
15
ENGINEERING THERMODYNAMICS
Execution of Carnot cycle in a piston cylinder device
2nd Law Of Thermodynamic
16
ENGINEERING THERMODYNAMICS
2nd Law Of Thermodynamic
17
ENGINEERING THERMODYNAMICS
 The thermal efficiencies of actual and reversible heat engines operatin
g between the same temperature limits compare as follows
 The coefficients of performance of actual and reversible refrigerators
operating between the same temperature limits compare as follows
2nd Law Of Thermodynamic
18
ENGINEERING THERMODYNAMICS
Entropy
 The 2nd law states that process occur in a certain direction, not in
any direction.
 It often leads to the definition of a new property called entropy, w
hich is a quantitative measure of disorder for a system.
 Entropy can also be explained as a measure of the unavailability of
heat to perform work in a cycle.
 This relates to the 2nd law since the 2nd law predicts that not all he
at provided to a cycle can be transformed into an equal amount of w
ork, some heat rejection must take place.
2nd Law Of Thermodynamic
19
ENGINEERING THERMODYNAMICS
Entropy Change
 The entropy change during a reversible process is defined as
 For a reversible, adiabatic process
dS
S S


0
2 1
 The reversible, adiabatic process is called an isentropic process.
2nd Law Of Thermodynamic
20
ENGINEERING THERMODYNAMICS
Entropy Change and Isentropic Processes
The entropy-change and isentropic relations for a process can be su
mmarized as follows:
i. Pure substances:
Any process: Δs = s2 – s1 (kJ/kgK)
Isentropic process: s2 = s1
ii. Incompressible substances (liquids and solids):
Any process: s2 – s1 = cav T2/T1 (kJ/kg
Isentropic process: T2 = T1
2nd Law Of Thermodynamic
21
ENGINEERING THERMODYNAMICS
iii. Ideal gases:
a) constant specific heats (approximate treatment):
s s C
T
T
R
v
v
vav2 1
2
1
2
1
 , ln ln
2 2
2 1 ,
1 1
ln lnpav
T P
s s C R
T P
 
for isentropic process
2 1
1 2.
k
s const
P v
P v
   
   
   
for all process
2nd Law Of Thermodynamic
22
ENGINEERING THERMODYNAMICS
Isentropic Efficiency for Turbine
2nd Law Of Thermodynamic
23
ENGINEERING THERMODYNAMICS
Isentropic Efficiency for Compressor
2nd Law Of Thermodynamic
24
ENGINEERING THERMODYNAMICS
THANKS FOR YOUR AT
TENTION

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2nd law of thermodynamic

  • 1. Semester 3 Engineering Thermodynamics Second Law of Thermodynamics Crated by :- Manthan Kanani 1 Babaria Institute Of Technology Mechanical Engineering
  • 2. 2nd Law Of thermodynamic 2 ENGINEERING THERMODYNAMICS Introduction  A process must satisfy the first law in order to occur.  Satisfying the first law alone does not ensure that the process will take place.  Second law is useful:  provide means for predicting the direction of processes,  establishing conditions for equilibrium,  determining the best theoretical performance of cycles, engines a nd other devices.
  • 3. ENGINEERING THERMODYNAMICS 2nd Law Of Thermodynamic 3 A cup of hot coffee does n ot get hotter in a cooler ro om. Transferring heat to a wire w ill not generate electricity. Transferring hea t to a paddle wh eel will not caus e it to rotate. These processes cannot occur even though they are not in vi olation of the first law.
  • 4. 2nd Law Of Thermodynamic 4 ENGINEERING THERMODYNAMICS Second Law of Thermodynamics Kelvin-Planck statement  No heat engine can have a th ermal efficiency 100 percent.  As for a power plant to opera te, the working fluid must ex change heat with the environ ment as well as the furnace.
  • 5. 2nd Law Of Thermodynamic 5 ENGINEERING THERMODYNAMICS Heat Engines  Work can easily be converted to other forms of energy, but?  Heat engine differ considerably from one anot her, but all can be characterized : o they receive heat from a high-temperature sour ce o they convert part of this heat to work o they reject the remaining waste heat to a low- temperature sink atmosphere o they operate on a cycle
  • 6. 2nd Law Of Thermodynamic 6 ENGINEERING THERMODYNAMICS The work-producing d evice that best fit into the definition of a hea t engine is the steam p ower plant, which is a n external combustion engine.
  • 7. 2nd Law Of Thermodynamic 7 ENGINEERING THERMODYNAMICS Thermal Efficiency  Represent the magnitude of the energy wasted in order to comp lete the cycle.  A measure of the performance that is called the thermal efficie ncy.  Can be expressed in terms of the desired output and the requir ed input th DesiredResult RequiredInput  For a heat engine the desired result is the net work done an d the input is the heat supplied to make the cycle operate.
  • 8. 2nd Law Of Thermodynamic 8 ENGINEERING THERMODYNAMICS The thermal efficiency is always less than 1 or less than 100 per cent. th net out in W Q  , W W W Q Q net out out in in net ,    where
  • 9. 2nd Law Of Thermodynamic 9 ENGINEERING THERMODYNAMICS  Applying the first law to the cyclic heat engine Q W U W Q W Q Q net in net out net out net in net out in out , , , , ,        The cycle thermal efficiency may be written as  th n e t o u t in in o u t in o u t in W Q Q Q Q Q Q      , 1
  • 10. 2nd Law Of Thermodynamic 10 ENGINEERING THERMODYNAMICS  A thermodynamic temperature scale related to the heat transfers betw een a reversible device and the high and low-temperature reservoirs b y Q Q T T L H L H   The heat engine that operates on the reversible Carnot cycle is calle d the Carnot Heat Engine in which its efficiency is threv L H T T ,  1
  • 11. 2nd Law Of Thermodynamic 11 ENGINEERING THERMODYNAMICS Heat Pumps and Refrigerators  A device that transfers heat from a low temperature medi um to a high temperature one is the heat pump.  Refrigerator operates exactly like heat pump except that t he desired output is the amount of heat removed out of th e system  The index of performance of a heat pumps or refrigerator s are expressed in terms of the coefficient of performance.
  • 12. 2nd Law Of Thermodynamic 12 ENGINEERING THERMODYNAMICS
  • 13. 2nd Law Of Thermodynamic 13 ENGINEERING THERMODYNAMICS COP Q W Q QQ HP H netin H H L   , COP Q W R L net in  ,
  • 14. 2nd Law Of Thermodynamic 14 ENGINEERING THERMODYNAMICS Carnot Cycle Process Description 1-2 Reversible isothermal heat addition at high temp erature 2-3 Reversible adiabatic expansion from high temper ature to low temperature 3-4 Reversible isothermal heat rejection at low temp erature 4-1 Reversible adiabatic compression from low temp erature to high temperature
  • 15. 2nd Law Of Thermodynamic 15 ENGINEERING THERMODYNAMICS Execution of Carnot cycle in a piston cylinder device
  • 16. 2nd Law Of Thermodynamic 16 ENGINEERING THERMODYNAMICS
  • 17. 2nd Law Of Thermodynamic 17 ENGINEERING THERMODYNAMICS  The thermal efficiencies of actual and reversible heat engines operatin g between the same temperature limits compare as follows  The coefficients of performance of actual and reversible refrigerators operating between the same temperature limits compare as follows
  • 18. 2nd Law Of Thermodynamic 18 ENGINEERING THERMODYNAMICS Entropy  The 2nd law states that process occur in a certain direction, not in any direction.  It often leads to the definition of a new property called entropy, w hich is a quantitative measure of disorder for a system.  Entropy can also be explained as a measure of the unavailability of heat to perform work in a cycle.  This relates to the 2nd law since the 2nd law predicts that not all he at provided to a cycle can be transformed into an equal amount of w ork, some heat rejection must take place.
  • 19. 2nd Law Of Thermodynamic 19 ENGINEERING THERMODYNAMICS Entropy Change  The entropy change during a reversible process is defined as  For a reversible, adiabatic process dS S S   0 2 1  The reversible, adiabatic process is called an isentropic process.
  • 20. 2nd Law Of Thermodynamic 20 ENGINEERING THERMODYNAMICS Entropy Change and Isentropic Processes The entropy-change and isentropic relations for a process can be su mmarized as follows: i. Pure substances: Any process: Δs = s2 – s1 (kJ/kgK) Isentropic process: s2 = s1 ii. Incompressible substances (liquids and solids): Any process: s2 – s1 = cav T2/T1 (kJ/kg Isentropic process: T2 = T1
  • 21. 2nd Law Of Thermodynamic 21 ENGINEERING THERMODYNAMICS iii. Ideal gases: a) constant specific heats (approximate treatment): s s C T T R v v vav2 1 2 1 2 1  , ln ln 2 2 2 1 , 1 1 ln lnpav T P s s C R T P   for isentropic process 2 1 1 2. k s const P v P v             for all process
  • 22. 2nd Law Of Thermodynamic 22 ENGINEERING THERMODYNAMICS Isentropic Efficiency for Turbine
  • 23. 2nd Law Of Thermodynamic 23 ENGINEERING THERMODYNAMICS Isentropic Efficiency for Compressor
  • 24. 2nd Law Of Thermodynamic 24 ENGINEERING THERMODYNAMICS THANKS FOR YOUR AT TENTION