Chapter 19, Problem 15TE

What is the count of sugar molecules in $0.5\text{ moles}$ of sugar?

To determine

Number of sugar molecules in $0.5\text{ moles}$ of sugar.

Answer to Problem 15TE

The number of sugar molecules in $0.5\text{ moles}$ of sugar will be $3.011\times {10}^{23}$

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 amount of solute can be expressed in a mole. The mole is the ratio of the weight of the compound taken to the molecular weight of a compound.

The 1 mole of any substance contains molecules.

The $1\text{ mole}$ of sugar contains $6.022\times {10}^{23}$ molecules.

So, $0.5\text{ moles}$ of sugar will contain,

$\begin{array}{l}=\frac{0.5\text{ moles}\times 6.022\times {10}^{23}}{1\text{ mole}}\\ =3.011\times {10}^{23}\end{array}$

Conclusion:

Therefore, the number of sugar molecules in $0.5\text{ moles}$ of sugar will be $3.011\times {10}^{23}$