*********************PLEASE EXPLAIN*********************** If the absolute tempe

Question

*********************PLEASE EXPLAIN***********************

If the absolute temperature of a gas is doubled, what happens to the root-mean-square speed of the molecules?

If the absolute temperature of a gas is doubled, what happens to the root-mean-square speed of the molecules? The root-mean-square speed, u rms, is related to temperature, T, via U rms = root 3RT/.U where R is the gas constant and .U is the molar mass of the gas. nothing the new rms speed is 4 times the original rms speed the new rms speed is 2 times the original rms speed the new rms speed is 1.414 times the original rms speed the new rms speed is 1/2 the original rms speed

Explanation / Answer

Initial rms speed = sqrt{(3*R*T)/M}............(1)

Final rms speed after the temperature becomes twice the original = sqrt{(3*R*2T)/M} = sqrt{(6RT)/M}........(2)

(2)/(1) we get

Final rms speed after the temperature becomes twice the original/Initial rms speed = sqrt(2) = 1.414

or, Final rms speed after the temperature becomes twice the original = 1.414*/Initial rms speed

Hece the answer

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