The figure shows the volume V versus temperature T graphs for a certain mass of a perfect gas at two constant pressures of P₁ and P₂. What inference can you draw from the graphs?

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$P_{1} > P_{2}$

No inference can be drawn due to insufficient information.

$P_{1} < P_{2}$

$P_{1} = P_{2}$

answer is A.

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Detailed Solution

$θ_{1} < θ_{2} \Rightarrow \tan θ_{1} < \tan θ_{2} \Rightarrow {(\frac{V}{T})}_{1} < {(\frac{V}{T})}_{2}$

From $PV = μRT; \frac{V}{T} \propto \frac{1}{P}$

Hence ${(\frac{1}{P})}_{1} < {(\frac{1}{P})}_{2} \Rightarrow P_{1} > P_{2}$

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