<p>The pressure&nbsp;<span class="equation">\(P_1\)</span>and density <span class="equation">\(d_1\)</span>&nbsp;of diatomic gas&nbsp;<span class="equation">\((\gamma = \frac{7}{5})\)</span>&nbsp;chages sudeenly to&nbsp;<span class="equation">\(P_2(&gt;P_1)\)</span>&nbsp;and&nbsp;<span class="equation">\(d_2\)</span>&nbsp;respectively during an adiabatic process. The temperature of the gas increases and becomes ________ times of its initial temperature. (given&nbsp;<span class="equation">\(\frac{d_2}{d_1} = 32\)</span>​​​​​​​)</p>