Question:
How much oxygen is dissolved in $100\, mL$ water at $298\, K$ if partial pressure of oxygen is $0.5\, atm$ and $K_H = 1.4 \times 10^{-3}\, mol/L/atm$ ?
How much oxygen is dissolved in $100\, mL$ water at $298\, K$ if partial pressure of oxygen is $0.5\, atm$ and $K_H = 1.4 \times 10^{-3}\, mol/L/atm$ ?
Updated On: Jun 23, 2023
- $22.4 \,mg$
- $22.4\, g$
- $2.24 \,g$
- $2.24 \,mg$
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The Correct Option is D
Solution and Explanation
According to Henry?? law, $s = K_H \times p$, where s is concentration of $O_2$ dissolved.
$s = 1.4 \times 10^{-3} \times 0.5$
$= 0.7 \times 10^{-3}\,mol/L$
$s = \frac{n}{V}$ or $n = 0.7 \times 10^{-3} \times 0.1$
$= 0.7 \times 10^{-4}\,mol$
$n = \frac{w}{M}$ or $w = n \times M$
$= 0.7 \times 10^{-4} \times 32$
$ = 22.4 \times 10^{-4}\, g$ or $2.24\, mg$
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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.