Equal moles of hydrogen () and oxygen () gases are placed in a container with a pin-hole. What exact — States of Matter and Gaseous State Chemistry Question
Question
Equal moles of hydrogen ($H_2$) and oxygen ($O_2$) gases are placed in a container with a pin-hole. What exact fraction of the original oxygen escapes in the time required for exactly one-half ($1/2$) of the hydrogen to escape?
Answer: A
💡 Solution & Explanation
Rate ratio $r_{H2}/r_{O2} = \sqrt{M_{O2}/M_{H2}} = \sqrt{32/2} = 4$. This means $H_2$ escapes 4 times faster than $O_2$. If $1/2$ of the $H_2$ escapes, the fraction of $O_2$ that escapes in the same time is $(1/2) / 4 = 1/8$.
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