Find work done on 2 mole of an ideal gas at $27^{\circ} \mathrm{C}$ if it is compressed reversibly and isothermally from $5.05 imes 10^6 \mathrm{Nm}^{-2}$ to $1.01 imes 10^5 \mathrm{Nm}^{-2}$ pressure.

Question

Find work done on 2 mole of an ideal gas at $27^{\circ} \mathrm{C}$ if it is compressed reversibly and isothermally from $5.05 	imes 10^6 \mathrm{Nm}^{-2}$ to $1.01 	imes 10^5 \mathrm{Nm}^{-2}$ pressure.

Aicharya · Accepted Answer

$\begin{aligned} \mathrm{W}_{\max } & =-2.303 \mathrm{nRT} \log _{10}\left(\frac{\mathrm{~V}_2}{\mathrm{~V}_{\mathrm{i}}}ight) \ & =-2.303 	imes 2 \mathrm{~mol} 	imes 8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} 	imes 300 \mathrm{~K} \ & \log _{10} \frac{1.01 	imes 10^5}{5.05 	imes 10^6} \ & =19.52 \mathrm{~kJ} \end{aligned}$

Find work done on 2 mole of an ideal gas at $27^{\circ} \mathrm{C}$ if it is compressed reversibly and…

Solution