112 cm³ of nitrogen gas is collected at a pressure of 720mm of mercury. If the temperature remains constant, find its volume when the pressure is 20cm of mercury.

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Solution

Given: P₁ = 720 P₂ = 20cm = 200mm
V₁ = 112 V₂ = ?
Formula: $\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
$\frac{720 \times 112}{273} = \frac{200 \times V_{2}}{273} \frac{720 \times 112}{200} = V_{2} \frac{80640}{200} = V_{2} V_{2} = 403.2 {cm}^{3}$
The volume is 403.2 cm³.

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