A heat engine carries one mole of an ideal mono-atomic gas around the cycle as shown in the figure. Select…

A heat engine carries one mole of an ideal mono-atomic gas around the cycle as shown in the figure. Select the correctoption:
  1. $q_{A B}=450 R$ and $q_{C A}=-450 R$
  2. $q_{A B}=450 R$ and $q_{C A}=-225 R$
  3. $q_{A B}=450 R$ and $q_{C A}=-375 R$
  4. $\mathrm{q}_{\mathrm{AB}}=375 \mathrm{R}$ and $\mathrm{q}_{\mathrm{CA}}=-450 \mathrm{R}$

Solution

For monoatomic gas $\mathrm{C}_{\mathrm{v}}=\frac{3}{2} \mathrm{R} \mathrm{C}_{\mathrm{p}}=\frac{5}{2} \mathrm{R}$
At constant volume, $\Delta \mathrm{U}=\mathrm{q}_{\mathrm{v}}=\mathrm{nC}_{\mathrm{v}, \mathrm{m}} \Delta \mathrm{T}$
At constant pressure, $\Delta \mathrm{H}=\mathrm{q}_{\mathrm{p}}=\mathrm{nC}_{\mathrm{p}, \mathrm{m}} \Delta \mathrm{T}$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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