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An ideal gas ...

Question

An ideal gas of certain mass is heated in a small vessel and then in a large vessel, such that their volume remains unchanged. The $P - T$ curves are

A

parabolic with same curvature

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B

parabolic with different curvatures

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C

linear with same slope

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D

linear with different slopes

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Solution

The correct option is D linear with different slopes
Using ideal gas equation,
$P V = n R T$
i.e $P \propto T$ keeping others constant
i.e $P = k T$
Therefore, this equations shows lines with different slopes and is linear.

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