Me6301 Engineering Thermodynamics - Formulae Chart

FORMULAE CHART SL.N O

PROCESS

P V T RELATIONS

WORK DONE

SYBL UNIT CONSTANT VOLUME

P1

OR

1.

ISOCHORIC

P2

[V = CONSTANT] CONSTANT PRESSURE

V 1

OR

2.

ISOBARIC

V 2

[P = CONSTANT] CONSTANT TEMPERATUR E

P1

OR

3.

ISOTHERMAL

REVERSIBLE ADIABATIC OR

ISENTROPIC γ

4.

[PV = CONSTANT]

T1 T2

=

=

P2

[T = CONSTANT]

=

T2 5.

(



P1

ΔH

ΔS

KJ

KJ

KJ

KJ

K J/ K

T1

m . R .( T 2

T2

P .( V 2

P2

V1



T 1 ) m .C V  .( T 2



T 1 ) m .C  p .( T 2



T 1 )

m .C V  . ln( ln ( P2  /  P1 )





n1 

=(

V2 V1





T 1 )

m .C  p .( T 2



T 1 ) m .C V  .( T 2



T 1 ) m .C  p .( T 2



T 1 )

m .C  p . ln( ln ( T 2  / T 1 )

V 1 )

m . R . ln( ln ( V 2  / V 1 )

m . R .T 1 . ln( ln ( P1  /  P2 )

γ 

)

m .C V  .( T 2

ln ( P1  /  P2 ) P1 .V 1 . ln(

V2

γ  1

n

CHANGE IN ENTROPY

T2

POLYTROPIC

T1

CHANGE IN ENTHALPY

ΔU

0

P1V 1



γ 

γ  n

ENERGY

Q



m R ( T 1

[PV = CONSTANT]

CHANGE IN INTERNAL

W

T1

V γ  1 ( ) =( 2 ) P2 V1



P1

HEAT TRANSFER  

)

n1 

P1V 1





W

P2V 2

γ 







T 2 )



T 1 )

0 m .C  p .( T 2



T 1 )

T 1 ) m .C  p .( T 2



T 1 )

(-W)

1

P2V 2

0

or

T 2 )

n 1

m R ( T 1

m .C V  .( T 2

0

1 

0

γ 



n 1

.W 

m .C V  .( T 2

n 1 

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

γ  γ 





n 1

m . R . ln ( V 2  / V 1 )