Answer: 2 times.
- A 2 times
- B 4 times
- C 8 times
- D 16 times
Correct answer: A. 2 times
Explanation: v<sub>rms</sub> ∝ √T, so increasing T by 4 times increases v<sub>rms</sub> by √4 = 2 times.
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.