Problem

In a system the volume and mass are kept constant. The initial temperature of the system is \( 135.2{ }^{\circ} \mathrm{C} \) and the pressure is 6.6 torr. If the pressure changes to 15.3 torr what is the temperature in \( { }^{\circ} \mathrm{C} \) ?

Answer

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Answer

\( T_2 = 135.2{ }^{\circ} \mathrm{C} \cdot \frac{15.3 \, \mathrm{torr}}{6.6 \, \mathrm{torr}} = 313.9197 { }^{\circ} \mathrm{C} \)

Steps

Step 1 ：\( P_1 = 6.6 \, \mathrm{torr}, \; T_1 = 135.2 { }^{\circ} \mathrm{C}, \; P_2 = 15.3 \, \mathrm{torr} \)

Step 2 ：\( T_2 = T_1 \cdot \frac{P_2}{P_1} \)

Step 3 ：\( T_2 = 135.2{ }^{\circ} \mathrm{C} \cdot \frac{15.3 \, \mathrm{torr}}{6.6 \, \mathrm{torr}} = 313.9197 { }^{\circ} \mathrm{C} \)

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