The pressure $\mathrm{P}_1$ and density $\mathrm{d}_1$ of diatomic gas $\left(\gamma=\frac{7}{5}\right)$ changes suddenly to $\mathrm{P}_2\left(>\mathrm{P}_1\right)$ and $\mathrm{d}_2$ respectively during an adiabatic process. The temperature of the gas increases and becomes $\_\_\_\_$ times of its initial temperature. (Given $\frac{d_2}{d_1}=32$ )
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