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At 300 K, the root mean square speed of hydrogen molecules is 1930 m/s. What will be the r.m.s. speed of oxygen molecules at 1200 K?
- 482.5 m/s
- 965 m/s
- 1930 m/s
- 3860 m/s
Correct answer: 965 m/s
Solution
v_rms scales as sqrt(T/M). Ratio = sqrt((1200/300)*(2/32)) = sqrt(4 * 1/16) = sqrt(0.25) = 0.5. So v_O2 = 1930 * 0.5 = 965 m/s.
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