An ideal gas having pressure \(P\), volume \(V\) and temperature \(T\) is expanded isothermally, to a volume \(3V\) and final pressure \(P_I\). The same gas is expanded adiabatically to a volume \(3V\), the final pressure being \(P_A\). The ratio \(\frac{P_A}{P_I}\) is \((\frac{C_P}{C_V} = γ)\)