JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of \(\frac{C_p}{C_v}\) for the gas is:
- A \(\frac{5}{3}\)
- B \(\frac{3}{2}\)
- C \(\frac{7}{5}\)
- D \(\frac{9}{7}\)
Answer & Solution
Correct Answer
(B) \(\frac{3}{2}\)
Step-by-step Solution
Detailed explanation
\( \mathrm{P} \propto \mathrm{T}^3 \Rightarrow \mathrm{PT}^{-3}=\text { constant } \) \( \mathrm{PV}^\gamma=\text { const } \) \( \mathrm{P}\left(\frac{\mathrm{nRT}}{\mathrm{P}}\right)^\gamma=\text { const } \) \( \mathrm{P}^{1-\gamma} \mathrm{T}^\gamma=\text { const }\)…
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