Assertion :Plot of $P$ Vs $1 / V$ is a straight line. Reason: Pressure is directly proportional to volume.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
Using the ideal gas relation,

$P V = n R T$

At constant temperature $T_{o}$

$P V = n R T_{o} = c o n s t a n t$

$\Rightarrow P V = c o n s t a n t$

$\Rightarrow P \propto \frac{1}{V}$

Hence, pressure is inversely proportional to volume and the plot between $P$ and $\frac{1}{V}$ will be a straight line. Therefore, Assertion is correct but the reason is incorrect

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