Question:
The rate of diffusion of methane at a given temperature is twice that of a gas $X$. The molecular mass of $X$ is
The rate of diffusion of methane at a given temperature is twice that of a gas $X$. The molecular mass of $X$ is
Updated On: Jun 23, 2023
- 4
- 8
- 32
- 64
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The Correct Option is D
Solution and Explanation
$\frac{\text { Rate of diffusion of methane }\left(r_{C H_{4}}\right)}{\text { Rate of diffusion of gas }^{\prime} X^{\prime}\left(r_{X}\right)}$
$=\sqrt{\frac{\text { mol. } w t \text {. of gas }\left(M_{X}\right)}{\text { mol. wt. of methane }\left(M_{C H_{4}}\right)}}$
$\frac{r_{C H_{4}}}{r_{X}}=2 \sqrt{\frac{M_{X}}{M_{C H_{4}}}}$
$=2 \sqrt{\frac{M_{X}}{16}}$
$M_{X}=16 \times(2)^{2}=64$
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Concepts Used:
Solutions
A solution is a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.
For example, salt and sugar is a good illustration of a solution. A solution can be categorized into several components.
Types of Solutions:
The solutions can be classified into three types:
- Solid Solutions - In these solutions, the solvent is in a Solid-state.
- Liquid Solutions- In these solutions, the solvent is in a Liquid state.
- Gaseous Solutions - In these solutions, the solvent is in a Gaseous state.
On the basis of the amount of solute dissolved in a solvent, solutions are divided into the following types:
- Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
- Saturated Solution- A solution in which no solute can be dissolved after reaching a certain amount of temperature is known as an unsaturated saturated solution.
- Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.