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0.004 MNa$_2SO_4$ is isotonic with 0.01 M glucose. Degree of dissociation of Na$_2SO_4$ is
0.004 MNa$_2SO_4$ is isotonic with 0.01 M glucose. Degree of dissociation of Na$_2SO_4$ is
Updated On: Jun 23, 2023
- 0.75
- 0.5
- 0.25
- 0.85
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The Correct Option is A
Solution and Explanation
For isotonic solutions, they must have same concentrations of ions. Therefore,
$ \, \, \, \, \, 0.004 i (Na_2SO_4)=0.01$
$\Rightarrow \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, i=\frac{0.01}{0.004}=2.5$
Also $ \, \, Na_2SO_4 \rightleftharpoons 2 _{2 \alpha}^{Na^+}+ _{\alpha}^{SO_4^{2-}} \, _{1+2\alpha}^{i}$
$\Rightarrow \, \, \, \, \, \, \, \, \, \, \, i=1 + 2\alpha =2.5$
$\hspace30mm \alpha =0.75 =75 \%$
$ \, \, \, \, \, 0.004 i (Na_2SO_4)=0.01$
$\Rightarrow \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, i=\frac{0.01}{0.004}=2.5$
Also $ \, \, Na_2SO_4 \rightleftharpoons 2 _{2 \alpha}^{Na^+}+ _{\alpha}^{SO_4^{2-}} \, _{1+2\alpha}^{i}$
$\Rightarrow \, \, \, \, \, \, \, \, \, \, \, i=1 + 2\alpha =2.5$
$\hspace30mm \alpha =0.75 =75 \%$
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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.
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