The rms speed of gas molecules, v rms = √(3RT/M), is proportional to:

⚛️ Physics · Kinetic Theory · NEET & JEE

The rms speed of gas molecules, v<sub>rms</sub> = √(3RT/M), is proportional to:

Answer: √T.

A √T
B T itself
C T squared
D 1/T

Correct answer: A. √T

Explanation: v<sub>rms</sub> varies as the square root of the absolute temperature.

Not all gas molecules move at the same speed - the Maxwell-Boltzmann distribution shows the spread, with the most probable speed v_p slightly less than the average v_avg, which is slightly less than the root-mean-square speed v_rms 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.

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The rms speed of gas molecules, v<sub>rms</sub> = √(3RT/M), is proportional to:

Concept context

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