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Find the ratio of the root-mean-square (rms) speed of H2 at 50 K to the rms speed of O2 at 800 K.

1. 1
2. 2
3. 4
4. 8

Correct answer: 1

Solution

v_rms = sqrt(3RT/M). Ratio = sqrt[(T_H2 / M_H2) / (T_O2 / M_O2)] = sqrt[(50/2) / (800/32)] = sqrt[25 / 25] = sqrt(1) = 1.

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