Question:
When a gas is bubbled through water at $298 \,K$, a very dilute solution of gas is obtained. Henry?? law constant for the gas is $100\, kbar$. If gas exerts a pressure of $1\, bar$, the number of moles of gas dissolved in $1$ litre of water is
When a gas is bubbled through water at $298 \,K$, a very dilute solution of gas is obtained. Henry?? law constant for the gas is $100\, kbar$. If gas exerts a pressure of $1\, bar$, the number of moles of gas dissolved in $1$ litre of water is
Updated On: Jun 23, 2023
- $0.555$
- $55.55 \times 10^{-5}$
- $55.55 \times 10^{-3}$
- $5.55 \times 10^{-5}$
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The Correct Option is B
Solution and Explanation
$p = K_{H} \times x$
$x = \frac{p}{K_{H}} = \frac{1}{100 \times 10^{3}}$
$= 1 \times 10^{-5}$
Mole fraction $= \frac{\text{Moles of gas}}{\text{Total moles}}$
Moles of $H_{2}O = \frac{1000}{18} $
$= 55.55 \left(\because 1 \,L = 1000\,g\right)$
Mole fraction $= \frac{x}{x+55.55}\,\left(55.55 > > > x\right)$
$\therefore 10^{-5} = \frac{x}{55.55}$ or $x = 55.55 \times 10^{-5}$
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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.