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  4. Molar ratio in which He and CH4 should be mixed so that when mixture is allowed to effuse through pinhole, initially both gases comes out at equal rate?

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Q. Molar ratio in which $He$ and $CH_{4}$ should be mixed so that when mixture is allowed to effuse through pinhole, initially both gases comes out at equal rate?

NTA AbhyasNTA Abhyas 2020

Solution:

$r\alpha \frac{n}{\sqrt{m}}\Rightarrow \frac{r_{\left(He\right)}}{r_{\left(\left(CH\right)_{4}\right)}}=\frac{n_{\left(He\right)}}{n_{\left(\left(CH\right)_{4}\right)}}.\sqrt{\frac{16}{4}}=1$