One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at…
One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, $27^{\circ} \mathrm{C}$. The work done on the gas will be:
$300 R \ln 6$
$300 \mathrm{R}$
$300 \mathrm{R} \ln 7$
$300 \mathrm{R} \ln 2$
Solution
Work done on gas $=\mathrm{nRT} \ell n\left(\frac{p_f}{p_1}\right)$
$
=\mathrm{R}(300) \ell \mathrm{n}(2)\left(\because \frac{P_f}{p_i}=2 \text { given }\right)
$