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Question: A gas is expanded to double its volume by two different processes. One is isobaric and the other is ...

A gas is expanded to double its volume by two different processes. One is isobaric and the other is isothermal. Let W1 and W2 be the respective work done, then –

A

W2 = W1ln (2)

B

W2 = racW1extln(2) rac{W_{1}}{ ext{ln}(2)}

C

W2 = racW12 rac{W_{1}}{2}

D

Data is insufficient

Answer

W2 = W1ln (2)

Explanation

Solution

W1 = P1 (V2 – V1) = P (2V – V) = PV

W2 = PV ln2V2\frac{2V}{2}

W1W2\frac{W_{1}}{W_{2}}= 1ln2\frac{1}{\ln 2}Ž W2 = W1 ln2