Question

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

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

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

Short answer

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

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

Step-by-step solution

Given Information (part a).

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

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

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,

localid="1653894449536" $$\begin{gathered} \text{Mass/volume}\mathrm{\%}=\frac{75\mathrm{g}\mathrm{Na}{\mathrm{SO}}_4}{250\mathrm{ml}\text{solution}}\times 100\mathrm{\%} \\ =30\%(\mathrm{m}/\mathrm{v}) \end{gathered}$$

Given Information (part b).

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

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

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,

localid="1653894422074" $$\begin{gathered} \text{Mass/volume}\mathrm{\%}=\frac{39\mathrm{g}\text{sucrose}}{355\mathrm{ml}\text{solution}}\times 100\mathrm{\%} \\ =11\%(\mathrm{m}/\mathrm{v}) \end{gathered}$$