One mole of an ideal gas at \( 900 \, \text{K} \), 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 \( \ln \dfrac{V_3}{V_2} \) is
(\( U \): internal energy, \( S \): entropy, \( p \): pressure, \( V \): volume, \( R \): gas constant)
(Given: molar heat capacity at constant volume, \( C_{v,m} \) of the gas is \( \dfrac{5}{2} R \) )
