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For a gas, its molecular speed varies with temperature as:

1. inversely proportional to absolute temperature.
2. directly proportional to the square of temperature.
3. directly proportional to the square root of temperature.
4. inversely proportional to the square root of temperature.

Correct answer: directly proportional to the square root of temperature.

Solution

Molecular speeds (rms, average, most probable) all scale as v ~ sqrt(3RT/M), i.e. directly proportional to the square root of absolute temperature.

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