JEE Mains · Physics · STD 11 - 11. thermodynamics
In an adiabatic process, which of the following statements is true?
- A The molar heat capacity is infinite
- B Work done by the gas equals the increase in internal energy
- C The molar heat capacity is zero
- D The internal energy of the gas decreases as the temperature increases
Answer & Solution
Correct Answer
(C) The molar heat capacity is zero
Step-by-step Solution
Detailed explanation
For adiabatic process, \(\mathrm{dQ}=0\) \(\therefore\) Molar heat capacity \(=0\) \(\because \mathrm{dQ}=0 \Rightarrow \mathrm{dU}=-\mathrm{dW}\) Also \(\mathrm{dU}=\frac{\mathrm{f}}{2} \mathrm{nRdT}\) \(\therefore\) Only option (3) is correct.
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