The pressure \( P_{1} \) and density \( d_{1} \) of diatomic gas \( \left( \gamma = \dfrac{7}{5} \right) \) changes suddenly to \( P_{2} \; ( > P_{1} ) \) and \( d_{2} \) respectively during an adiabatic process. The temperature of the gas increases and becomes ________ times of its initial temperature. (given \( \dfrac{d_{2}}{d_{1}} = 32 \))
