Work done during expansion of a gas in an isobaric process due to heating from
temperature T1 to T2 is
(A) R (T1-T2) (B) R (V1-V2) (C) Cp-Cv
(D) Cp/Cv
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1
Answer:
Work done in an adiabatic expansion is given by
W=
γ−1
R
[T
1
−T
2
].(i)
where, T
1
= initial temperature of the gas
T
2
= final temperature of the gas
γ= adiabatic constant
R= universal gas constant
Now, universal gas constant is given by:
R=C
p
−C
v
Hence, equation (i) becomes
W=
γ−1
C
p
−C
v
[T
1
−T
2
]
Because, γ=
C
v
C
p
, so we have
W=
C
v
C
p
−1
C
p
−C
v
[T
1
−T
2
]
W=
C
v
C
p
−C
v
C
p
−C
v
[T
1
−T
2
]
or W=C
v
(T
1
−T
2
).
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