Answer: 20.8 J/mol K.
- A ≈20.8 J/mol K
- B ≈12.5 J/mol K
- C ≈29.1 J/mol K
- D ≈8.31 J/mol K
Correct answer: A. ≈20.8 J/mol K
Explanation: C<sub>v</sub> = (5/2)R = 2.5 × 8.31 ≈ 20.8 J/mol K.
Not all gas molecules move at the same speed - the Maxwell-Boltzmann distribution shows the spread, with the most probable speed vp slightly less than the average vavg, which is slightly less than the root-mean-square speed vrms used in the pressure formula.
Concept context
Kinetic theory of gases connects molecular motion to pressure and temperature, explaining gas laws, specific heats, and molecular speeds.