The volume of a certain mass of gas is 750 mL at $- 3^{\circ}$ C. The gas is heated at constant pressure and its volume becomes 1 L. What is the final temperature of the gas?

$77^{\circ} C$

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$97^{\circ} C$

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$360^{\circ} C$

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$87^{\circ} C$

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Solution

The correct option is D
$87^{\circ} C$

According to Charles' Law,

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$

$\Rightarrow T_{2} = \frac{V_{2} T_{1}}{V_{1}}$

$\Rightarrow T_{2} = \frac{1000 \times 270}{750} = 360$

Hence, the final temperature $= 360 K = (360 - 273)^{\circ} C = 87^{\circ} C$

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