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Equal amounts (in moles) of hydrogen gas and oxygen gas are kept in a vessel that has a tiny pinhole, allowing both gases to effuse out. By the time one-half of the hydrogen has escaped, what fraction of the oxygen has escaped?

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

Correct answer: 1/8

Solution

Rate ratio = sqrt(32/2) = 4, so when half (0.5) of H2 has escaped, the fraction of O2 escaped is 0.5/4 = 1/8, not 1/4.

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