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By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled?

1. 2.0
2. 2.8
3. 4.0
4. 1.4

Correct answer: 1.4

Solution

The average velocity of a gas molecule is proportional to the square root of the temperature (√T). Doubling the temperature increases the velocity by a factor of √2, which is approximately 1.4.

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