Question

One mode of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, ${27}^{o}C$. The work done on the gas will be:

• A. $300R\ln 6$
• B. $300R$
• C. $300R\ln 7$
• D. $300R\ln 2$

Answer 1

The correct option is D $300R\ln 2$

Work done in isothermal process is given as

$W=-nRTln\frac{V2}{V_1}$

$W=R\times 300ln\frac{P_1}{P_2}$

$W=-R\times 300ln\frac{P}{2P}$

$W=300Rln2$