State whether p1>p2 or p2>p1 for given mass of a gas?

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$State whether p_{1} > p_{2} or p_{2} > p_{1} for given mass of a gas?$

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$p_{2} < p_{1}$

$p_{2} \leq p_{1}$

$p_{2} = p_{1}$

$p_{2} > p_{1}$

answer is C.

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Detailed Solution

$V = \frac{n R T}{p} = (\frac{n R}{p}) T$

For given mass, V-T graph is a straight line passing through origin having

slope = $\frac{n R}{p} \propto \frac{1}{p}$

Slope of $p_{2}$ is more. Hence, $p_{2} < p_{1}$ .

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