Work done by gas in adiabatic process is:
W=−γ−1(P2V2−P1V1)
=−γ−1nR(T2−T1)
For an adiabatic process, T1V1γ−1=T2V2γ−1
⇒TV23−1=T2(2V)23−1⇒TV21=T2(2V)21⇒T2=2T
Now, work done is W=γ−1R(T1−T2)=21R(T−2T)=RT(2−2)
A sample of gas at temperature T is adiabatically expanded to double its volume. The work done by the gas in the process is given, (given γ=23) :
Held on 1 Feb 2023 · Verified 6 Jul 2026.
W=TR[2−2]
W=RT[2−2]
W=TR[2−2]
W=RT[2−2]
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