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
Answer
(2) The molar heat capacity is zero
Solution
Adiabatic process: Q = 0, while ΔT ≠ 0
C = Qn T = 0
(1) is wrong: internal energy of an ideal gas increases with temperature.
(3) is wrong: U = -W, i.e. work done by the gas equals the decrease in internal energy.
(4) is wrong: C is infinite for an isothermal process (ΔT = 0).
Answer: (2)