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(D) For an ideal gas,the internal energy $U$ is a function of temperature $T$ only,given by $U = f(T)$.Since the gas is compressed at a constant tempe

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None of these

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(D) For an ideal gas,the internal energy $U$ is a function of temperature $T$ only,given by $U = f(T)$.Since the gas is compressed at a constant temperature (isothermal process),the temperature $T$ remains constant.Because the temperature does not change,the internal energy of the gas remains constant.Furthermore,the average kinetic energy of the molecules is directly proportional to the absolute temperature $(KE_{avg} = \frac{3}{2} k_B T)$.Since $T$ is constant,the average kinetic energy and the speed of the molecules also remain constant.Therefore,the molecules do not gain speed,kinetic energy,or internal energy.The correct option is $D$.

$A$ gas is compressed at constant temperature. Its molecules gain:

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