Heat And Thermodynamics

A diatomic gas \(\left(\gamma=\frac{7}{5}\right)\) is compressed adiabatically to volume \(\frac{V_i}{32}\) where \(V_i\) is its initial volume. The initial temperature of the gas is \(T_i\) in Kelvin and the final temperature is '\(x T_i\)'. The value of '\(x\)' is