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Question

$$50\ mL$$ of hydrogen diffuses out through a small hole from a vessel in $$20$$ minutes. The time needed for $$40\ mL$$ of oxygen to diffuse out is:


A
12 min
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B
64 min
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C
8 min
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D
32 min
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Solution

The correct option is D $$64\ min$$
$$Rate (H_{ 2 })=\frac { 50 }{ 20 } =2.5$$ 

$${ Rate\ (O }_{ 2 })=\frac { 40 }{ t } $$

$$ \frac { r_{{ H }_{ 2 }} }{ { r_{{O }_ 2 }} } =\frac { 2.5 }{ 40/t } =\sqrt { ({ M_O }_{ 2 }/{ M_H }_{ 2 }) } =\sqrt { (32/2) } =4$$

$$\Rightarrow 2.5t=160$$

$$t=64min$$

Chemistry

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