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The pressure p of a gas is plotted against its absolute temperature T for two different constant volumes $V_{1}$ and $V_{2}$ , where $V_{1} > V_{2}$ . If p is plotted on the y-axis and T on the x-axis, then, the slope for the curve $V_{1}$ is

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smaller than that for $V_{2}$

greater than that for $V_{2}$

equal to that of $V_{2}$

cannot say

answer is A.

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Detailed Solution

$pV = nRT or p = (\frac{nR}{V}) T$
$In a p - T graph, slope = \frac{p}{T} = \frac{n R}{V}$
$∴ Slope \propto \frac{1}{V}$

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