Answer: 1.67.
- A 1
- B 1.33
- C 1.4
- D 1.67
Correct answer: D. 1.67
Explanation: Cv = 3R/2, Cp = 5R/2, so γ = 5/3 ≈ 1.67.
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.