JEE Mains · Physics · STD 11 - 11. thermodynamics
The specific heat at constant pressure of a real gas obeying \(\mathrm{PV}^2=\mathrm{RT}\) equation is _______.
- A \(\mathrm{C}_{\mathrm{V}}+\mathrm{R}\)
- B \(\frac{\mathrm{R}}{3}+\mathrm{C}_{\mathrm{V}}\)
- C \(\mathrm{R}\)
- D \(C_V+\frac{R}{2 V}\)
Answer & Solution
Correct Answer
(D) \(C_V+\frac{R}{2 V}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{dQ}=\mathrm{du}+\mathrm{dW}\) \(\mathrm{CdT}=\mathrm{C}_{\mathrm{V}} \mathrm{dT}+\mathrm{PdV}\) \(....(1)\) \(\therefore \quad \mathrm{PV}^2=\mathrm{RT}\) \(\quad \mathrm{P}=\text { constant }\) \(\quad \mathrm{P}(2 \mathrm{VdV})=\mathrm{RdT}\)…
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