Q. 9.39 - An Introduction to General, Organic, and Biological Chemistry

Question

Calculate the mass/volume percent $(m/v)$ for the solute in each of the following:

a. $75 g of N{a}_{2}S{O}_4$ in $250 mL$of $N{a}_{2}S{O}_4$ solution.

b. $39 g$ of sucrose in $335 mL$ of a carbonated drink.

Step-by-Step Solution

Answer

(part a) The mass/volume percent for the solute of $75 g of N{a}_{2}S{O}_4$ in $250 mL$ of $N{a}_{2}S{O}_4$ solution is $30\% (m/v).$

(part b) The mass/volume percent for the solute of $39 g$ of sucrose in $335 mL$ of a carbonated drink is $11\% (m/v).$

Step 1: Given Information (part a).

The following are the given information to find the mass volume percentage:

$75 g of N{a}_{2}S{O}_4$ in $250 mL$ of $N{a}_{2}S{O}_4$ solution.

step 2: Find the Mass volume percentage (part a).

Mass volume percentage is,

$\text{ Mass/volume }\mathrm{\%}=\frac{\text{ grams of solute }}{\text{ milliliters of solution }}\times 100\mathrm{\%}$

Substitute the values,

$$\begin{gathered} \text{ Mass/volume }\mathrm{\%}=\frac{75 \mathrm{g} \mathrm{Na}{\mathrm{SO}}_4}{250 \mathrm{ml}\text{ solution }}\times 100\mathrm{\%} \\ =30\% (\mathrm{m}/\mathrm{v}) \end{gathered}$$

Step 3: Given Information (part b).

The following are the given information to find the mass volume percentage:

$39 g$ of sucrose in $335 mL$ of a carbonated solution.

Step 4: Find the Mass volume percentage (part b).

Mass volume percentage is,

$\text{ Mass/volume }\mathrm{\%}=\frac{\text{ grams of solute }}{\text{ milliliters of solution }}\times 100\mathrm{\%}$

Substitute the values,

$$\begin{gathered} \text{ Mass/volume }\mathrm{\%}=\frac{39 \mathrm{g}\text{ sucrose }}{355 \mathrm{ml}\text{ solution }}\times 100\mathrm{\%} \\ =11\% (\mathrm{m}/\mathrm{v}) \end{gathered}$$