The pressure and volume of an ideal gas are related as PV^(3/2)= K (Constant). The work done when the gas is taken from state A ( P_1, V_1, T_1) to…

The pressure and volume of an ideal gas are related as $\displaystyle \mathrm{PV}^{\frac{3}{2}}=\mathrm{K}$ (Constant). The work done when the gas is taken from state $\displaystyle \mathrm{A}\left(\mathrm{P}_1, \mathrm{~V}_1, \mathrm{~T}_1\right)$ to state $\displaystyle \mathrm{B}\left(\mathrm{P}_2, \mathrm{~V}_2, \mathrm{~T}_2\right)$ is :