When a gas is bubbled through water at $298\, K$, a very dilute solution of the gas is obtained. Henry?s law constant for the gas at $298 \,K$ is $100\, kbar$. If the gas exerts a partial pressure of $1\, bar$, the number of millimoles of the gas dissolved in one litre of water is
- 0.555
- 5.55
- 0.0555
- 55.5
The Correct Option is A
Solution and Explanation
Answer (a) 0.555
According to the Question:-
$P_{gas} = (K_{H})X_{gas}$
$1= (100 \times 10^3)X_{gas}$
$X_{gas}=1\times 10^{-5} $
$\frac{n_{gas}}{n_{gas} +n_{water}} = 1 \times 10^{-5}$
$n_{gas} +n_{water} ≈n_{water}$ $(∵ n_{gas} <<< n_{water})$
$\frac{n_{gas}}{1000/18} = 1 \times 10^{-5}$
$n_{gas} = 5.556 \times 10^{-4}$
Therefore, the number of millimoles of the gas dissolved in one litre of water is $n_{gas} = 0.555$
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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.
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- 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.