one mole of an ideal gas initially kept in a cylinder at pressure 1MPa and temperature 27 c made to expand until it's volume is3
1 how much work is done if the expansion is adiabatic, isobaric, isothermal
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0
Answer:
Solution:- (C) 150K
From first law of thermodynamics,
ΔU=q+W
As we know that, for adiabatic condition,
q=0
∴ΔU=W.....(1)
At constant volume,
ΔU=nC
v
ΔT.....(2)
From eq
n
(1)&(2), we have
W=nC
v
ΔT.....(3)
Given:-
T
i
=27℃=(27+273)K=300K
T
f
=T(say)=?
ΔT=T
f
−T
i
=(T−300)
C
v
=20J/K−mol
W=−3kJ=−3×10
3
J[∵Work done by the gas is negative]
Substituting all these values in eq
n
(3), we have
−3000=1×20×(T−300)
T−300=−150
⇒T=300−150=150K
Hence the final temperature is 150K
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