Concept:For an ideal gas, internal energy depends only on its temperature.
In an adiabatic process,
Q=0, so any work done by the gas comes from its own internal energy.
Explanation:In an isothermal process, temperature
T is constant.
Therefore, for an ideal gas,
ΔU=0 for both isothermal expansion and isothermal compression.
So, options A and B are incorrect because internal energy does not change.
For an adiabatic process, no heat is exchanged with the surroundings, so
Q=0.
Using the first law of thermodynamics:
ΔU=Q−W, where
W is the work done by the gas.
During adiabatic expansion, the gas does work on the surroundings, so
W>0.
Thus,
ΔU=−W, which gives
ΔU<0.
Hence, the internal energy decreases during adiabatic expansion.
During adiabatic compression, work is done on the gas, so
W<0 and
ΔU>0.
Thus, the internal energy increases in adiabatic compression.
Answer:The correct option is C: Adiabatic expansion of an ideal gas.