JEE Mains · Physics · STD 11 - 11. thermodynamics
During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of \(\frac{C_p}{C_V}\) for the gas is _______.
- A \(\frac{5}{3}\)
- B \(\frac{9}{7}\)
- C \(\frac{3}{2}\)
- D \(\frac{7}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{2}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{P} \propto \mathrm{T}^3\) \(\mathrm{PT}^{-3}=\text { constant }\) \(\because \frac{\mathrm{PV}}{\mathrm{T}}=\mathrm{nR}=\text { constant from ideal gas equation }\) \((\mathrm{P})(\mathrm{PV})^{-3}=\text { constant }\)…
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