A mixture of He and CH_4 in a molar ratio of | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to Graham's Law of Effusion,the rate of effusion $r$ is inversely proportional to the square root of the molar mass $M$: $\frac{r_{He}}{

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(A) According to Graham's Law of Effusion,the rate of effusion $r$ is inversely proportional to the square root of the molar mass $M$: $\frac{r_{He}}{r_{CH_4}} = \sqrt{\frac{M_{CH_4}}{M_{He}}}$.Substituting the molar masses ($M_{CH_4} = 16 \ g/mol$,$M_{He} = 4 \ g/mol$): $\frac{r_{He}}{r_{CH_4}} = \sqrt{\frac{16}{4}} = \sqrt{4} = 2$.This means the rate of effusion of $He$ is $2$ times that of $CH_4$.The composition of the effusing mixture is given by the ratio of the rates of effusion multiplied by their initial molar ratio in the container: $\frac{	ext{Rate}_{He}}{	ext{Rate}_{CH_4}} = \frac{r_{He}}{r_{CH_4}} 	imes \frac{n_{He}}{n_{CH_4}} = 2 	imes \frac{4}{1} = \frac{8}{1}$.Thus,the initial composition of the effusing gas mixture is $8:1$.

$A$ mixture of $He$ and $CH_4$ in a molar ratio of $4:1$ is present in a container at a pressure of $20 \ bar$. Due to a hole in the container,the gas mixture leaks out. What will be the composition of the gas mixture effusing out initially (in $: 1$)?

Similar Questions

Which of the following statements is incorrect?

Two flasks of equal volume contain $O_2$ and $CH_3OH$ vapor respectively at $120\,^oC$ and $1.15\, atm$ pressure. Which of the following will be the same for both?

The total pressure of a gas and a few drops of water in a container is $830 \, mm$. If the temperature of the container is decreased by $1 \%$,the new pressure is $............ \, mm$. The water vapor pressures at the two temperatures are $30 \, mm$ and $25 \, mm$ respectively.

Why does a sharp glass edge become smooth on heating it up to its melting point in a flame? Explain which property of liquids is responsible for this phenomenon.

Liquids flow from a higher level to a lower level. Which of the following liquids climbs up the walls of a glass vessel when filled in it?

Vedclass Test Series

Exam Paper Generator

Online Exam Module