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  4. The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0° C to 50° C when no work is done is . ( R is the universal gas constant)

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Q. The amount of heat needed to raise the temperature of $4$ moles of a rigid diatomic gas from $0^{\circ} C$ to $50^{\circ} C$ when no work is done is ______. ( $R$ is the universal gas constant)

JEE MainJEE Main 2021Thermodynamics

Solution:

$\Delta Q=\Delta U+\Delta W$
Here $\Delta W=0$
$\Delta Q=\Delta U=n C_{V} \Delta T$
$\Delta Q=4 \times \frac{5 R}{2}(50)=500 \,R$