Question:
The solubility product of $Cr(OH)_3$ at $298 \,K$ is $6.0 \times 10^{-31}.$ The concentration of hydroxide ions in a saturated solution of $Cr(OH)_3$ will be :
The solubility product of $Cr(OH)_3$ at $298 \,K$ is $6.0 \times 10^{-31}.$ The concentration of hydroxide ions in a saturated solution of $Cr(OH)_3$ will be :
Updated On: Sep 14, 2024
- $\left(18\times10^{-31}\right)^{1/ 2}$
- $\left(2.22\times10^{-31}\right)^{1/ 4}$
- $\left(18\times10^{-31}\right)^{1/ 4}$
- $\left(4.86\times10^{-29}\right)^{1/ 4}$
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The Correct Option is C
Solution and Explanation
$K_{sp}=27\left(s\right)^{4}=6\times10^{-31}$
$\Rightarrow\left[3\left(s\right)\right]^{4}=18\times10^{-31}$
$\left[OH-\right]=3\left(s\right)=\left[18\times10^{-31}\right]^{1 /4}$
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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.