If the rate of diffusion of gas A is 5 times | vedclass

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

Question

(A) According to Graham's Law of Diffusion,the rate of diffusion $r$ is inversely proportional to the square root of the density $d$ of the gas: $r \p

Vedclass · Accepted Answer

$0.04$

Vedclass · Answer

(A) According to Graham's Law of Diffusion,the rate of diffusion $r$ is inversely proportional to the square root of the density $d$ of the gas: $r \propto \frac{1}{\sqrt{d}}$.Therefore,$\frac{r_A}{r_B} = \sqrt{\frac{d_B}{d_A}}$.Given that $r_A = 5r_B$,we have $\frac{r_A}{r_B} = 5$.Substituting this into the equation: $5 = \sqrt{\frac{d_B}{d_A}}$.Squaring both sides: $25 = \frac{d_B}{d_A}$.Thus,the ratio of the density of $A$ to the density of $B$ is $\frac{d_A}{d_B} = \frac{1}{25} = 0.04$.

If the rate of diffusion of gas $A$ is $5$ times that of gas $B$,what will be the ratio of the density of $A$ to the density of $B$?

Similar Questions

Which of the following statements is correct?

Under similar conditions of temperature and pressure,$50 \ mL$ of gas $A$ diffuses through a hole in the same time that $40 \ mL$ of gas $B$ diffuses. If the molar mass of gas $A$ is $64$,what is the molar mass of gas $B$?

Gas $A$ diffuses $6$ times faster than hydrogen gas. What is the molar mass of $A$?

The ratio of the partial pressure of a gaseous component to the total vapor pressure of the mixture is equal to .......

The ratio of the rate of diffusion of helium and methane under identical conditions of pressure and temperature will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module