MCQ
Ideal mono-atomic gas is taken through process such that $dQ= 3dU.$ The molar heat capacity for this process is
- A$3\,R$
- ✓$4.5\,R$
- C$4\,R$
- D$2\,R$
✓
Answer
Correct option: B.
$4.5\,R$
b
$\mathrm{dQ}=3 \mathrm{dU}$
$\mathrm{dQ}=3 \mathrm{dU}$
$\Rightarrow \mathrm{dQ}=3 \mathrm{nC}_{\mathrm{v}} \mathrm{dT}$
or $\quad \mathrm{C}=\frac{\mathrm{d} \theta}{\mathrm{ndT}}=3 \mathrm{C}_{\mathrm{v}}=9 \mathrm{R} / 2$
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