Chapter 19, Problem 13TE

Why is it not possible to calculate the concentration of a solution that contains $\text{2 moles}$ of sugar in $\text{10 L}$ of water?

To determine

The difficulty in calculating concentration of a solution containing $2\text{ moles}$ of sugar in $10\text{ L}$ of water.

Answer to Problem 13TE

The $2\text{ moles}$ of sugar contains less number of molecules as compared to the $10\text{ L}$ of water hence it is not possible to calculate the concentration of a solution.

Explanation of Solution

The solution contains a solute component and a solvent component. The concentration of the solution depends on the amount of both of these components.

The concentration of the solution is inversely proportional to the volume of the solution and is directly proportional to the mass of the solute.

In the solution, there are $2\text{ moles}$ of sugar.

The $\text{1 mole}$ of sugar contains $\text{6}\text{.022}\times {\text{10}}^{23}$ molecules.

So, $2\text{ moles}$ will contain,

$\begin{array}{l}\text{=2}\times \text{6}\text{.022}\times {\text{10}}^{23}\\ =12.044\times {\text{10}}^{23}\end{array}$ molecules.

The number of molecules of sugar is very less as compared to the amount of water. So, it is not possible to calculate the concentration.

Conclusion:

Therefore, the $2\text{ moles}$ of sugar contains less number of molecules as compared to the $10\text{ L}$ of water hence it is not possible to calculate the concentration of a solution.