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  4. Variation of internal energy with density of 1 mol of monatomic gas is depicted in diagram. The corresponding variation of pressure with volume can be depicted as (assume the curve is rectangular hyperbola) <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-kz1slfdajjx6.png />

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Q. Variation of internal energy with density of $1 \, mol$ of monatomic gas is depicted in diagram. The corresponding variation of pressure with volume can be depicted as (assume the curve is rectangular hyperbola)

Question

NTA AbhyasNTA Abhyas 2020Thermodynamics

Solution:

Since $U\rho =\text{constant}$
$\frac{P}{\rho }=\frac{R T}{M}$
$P$ = constant since $\rho $ is increasing, therefore $V$ is decreasing.