12 cm^3 of SO_{2(g)} diffused through a poro | vedclass

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

Question

(D) According to Graham's law of diffusion,the rate of diffusion $(r)$ is inversely proportional to the square root of the molar mass $(M)$,i.e.,$r \p

Vedclass · Accepted Answer

$16$

Vedclass · Answer

(D) According to Graham's law of diffusion,the rate of diffusion $(r)$ is inversely proportional to the square root of the molar mass $(M)$,i.e.,$r \propto \frac{1}{\sqrt{M}}$.Also,the rate $(r)$ is directly proportional to the volume $(V)$ diffused per unit time $(t)$,i.e.,$r = \frac{V}{t}$.Therefore,$\frac{r_1}{r_2} = \frac{V_1/t_1}{V_2/t_2} = \sqrt{\frac{M_2}{M_1}}$.Given:$V_{SO_2} = 12 \ cm^3$,$t_{SO_2} = 1 \ min$,$M_{SO_2} = 64 \ g \ mol^{-1}$.$V_{gas} = 120 \ cm^3$,$t_{gas} = 5 \ min$,$M_{gas} = ?$.Substituting the values:$\frac{12/1}{120/5} = \sqrt{\frac{M_{gas}}{64}}$.$\frac{12}{24} = \sqrt{\frac{M_{gas}}{64}}$.$0.5 = \sqrt{\frac{M_{gas}}{64}}$.Squaring both sides:$0.25 = \frac{M_{gas}}{64}$.$M_{gas} = 0.25 	imes 64 = 16 \ g \ mol^{-1}$.

$12 \ cm^3$ of $SO_{2(g)}$ diffused through a porous membrane in $1 \ minute$. Under similar conditions $120 \ cm^3$ of another gas diffused in $5 \ minutes$. The molar mass of the gas in $g \ mol^{-1}$ is

Similar Questions

Which factors can cause a change in the physical states of matter?

At $T \ K$,a gaseous mixture of $H_2$ and $O_2$ containing $20 \%$ (weight/weight) of $H_2$ exerts a total pressure of $2 \ bar$. What is the partial pressure of $O_2$ (in bar)?

$A$ closed vessel contains an equal number of molecules of $N_2$ and $O_2$ at a pressure of $650 \ mm$. If $N_2$ is completely removed,what will be the pressure in the vessel?

To which of the following gaseous mixtures is Dalton's law of partial pressures not applicable?

Between $NH_3$ and $CO_2$,which one will diffuse faster? What will be the ratio of their rates of diffusion?

Vedclass Test Series

Exam Paper Generator

Online Exam Module