JEE MAIN - Physics (2025 - 2nd April Morning Shift - No. 14)
In an adiabatic process, which of the following statements is true?
The internal energy of the gas decreases as the temperature increases
The molar heat capacity is zero
Work done by the gas equals the increase in internal energy
The molar heat capacity is infinite
Explanation
Option B is correct.
• In an adiabatic process no heat is exchanged, so
$$\delta Q = 0.$$
• The (molar) heat capacity for any process is defined by
$$C = \frac{\delta Q}{n\,dT}\,. $$
Since $\delta Q=0$ even when $dT\neq0$, it follows that
$$C_{\rm adiabatic}=0\,. $$
All other statements are therefore false.
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