One mole of an ideal gas at 900 K, undergoes two reversible processes, I followed by II as shown below. If the work done by the gas in the two processes are same, the value of ln $\frac{{\mathrm{V}}_3}{{\mathrm{V}}_2}$ is “X”. Find value of $\frac{32\mathrm{X}}{40}$? (given U=internal energy, S =entropy, p = pressure, R = gas constant, V = volume, and molar heat capacity of the gas at constant volume $=\frac{5\mathrm{R}}{2})$