Answer: Double.
- A Same
- B Double
- C Half
- D Four times
Correct answer: B. Double
Explanation: At constant temperature, v<sub>rms</sub> is unchanged. Since P ∝ n and n doubles when volume is halved (n=N/V), the new pressure is double the original, consistent with Boyles law.
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.