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Q.

Variation of internal energy with density of one mole of monoatomic gas is depicted in the adjoining figure. Corresponding variation of pressure with volume can be depicted as (Assuming the curve is rectangular hyperbola)

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a

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b

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c

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d

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answer is D.

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Detailed Solution

$U \propto \frac{1}{ρ} or T \propto \frac{1}{(1 / V)} \Rightarrow T \propto V$

Hence, from ideal gas equation (pV = nRT, p is constant.
Further, $ρ$ is increasing in U- $ρ$ , therefore V should decrease.

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Variation of internal energy with density of one mole of monoatomic gas is depicted in the adjoining figure. Corresponding variation of pressure with volume can be depicted as (Assuming the curve is rectangular hyperbola)