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 ......${R}$ ($R$ is the universal gas constant)
JEE MAIN 2021, Medium
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$\Delta Q=\Delta U+\Delta W$

Here $\Delta W=0$

$\Delta Q=\Delta {U}={nC}_{v} \Delta {T}$

$\Delta Q=4 \times \frac{5 R}{2}(50)=500 \,{R}$

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