Question

A volume of 400 cc air is measured at a pressure of 740 mmHg and a temperature of 18°C. What will be the volume (in cc) at 760 mmHg and 0°C?

Answer 1

$\begin{aligned} V_1 &= 400cc\\ P_1 &= 740mmHg\\ T_1 &= 18°C = 18 + 273K = 291K\\ \\ V_2 &= ?\\ P_2 &= 760mmHg\\ T_2 &= 0°C = 0 + 273K = 273K \end{aligned}$

From, ideal gas law $\dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}$

$\dfrac{400×740}{291} = \dfrac{760×V_2}{273}$

$V_2 = \dfrac{400×740×273}{760×291}$

$V_3 = 365.38cc$

$\therefore$ 365.38cc is the volume of air at 760 mmHg and 0°C.