Answer: 1.5.
- A 1.33
- B 1.4
- C 1.67
- D 1.5
Correct answer: D. 1.5
Explanation: C<sub>v,mix</sub> = ((3/2)+(5/2))R/2 = 2R, C<sub>p,mix</sub> = 3R, so γ = 3R/2R = 1.5.
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.