Suppose you could suddenly increase the speed of every molecule in a gas by a factor of

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Suppose you could suddenly increase the speed of every molecule in a gas by a factor of 2.
a. Would the rms speed of the molecules increase by a factor of 21/2, 2, or 22? Explain.
b. Would the gas pressure increase by a factor of 21/2, 2, or 22? Explain.

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