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
B
64 min
C
8 min
D
32 min

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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