Question:
The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from $0^{\circ} \mathrm{C}$ to $50^{\circ} \mathrm{C}$ when no work is done is_______ . $R$ is the universal gas constant)
Correct Option: , 4
Solution:
$\Delta \mathrm{Q}=\Delta \mathrm{U}+\Delta \mathrm{W}$
Here $\Delta W=0$
$\Delta \mathrm{Q}=\Delta \mathrm{U}=\mathrm{nC}_{\mathrm{V}} \Delta \mathrm{T}$
$\Delta Q=4 \times \frac{5 R}{2}(50)=500 \mathrm{R}$
Hence option (4).
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