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Charles' Law

In a process ...

Question

In a process the pressure of a gas remains constant. If the temperature is doubled, then the change in the volume will be

A

100%

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B

200%

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C

50%

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D

25%

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Solution

The correct option is C 100%
From Ideal Gas Law,
$P V = n R T$
Thus at constant pressure, $V \propto T$
Thus $\frac{V_{2}}{V_{1}} = \frac{T_{2}}{T_{1}} = 2$
$⟹ V_{2} = 2 V_{1}$
Thus the increase is $100$ %.

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