Question

How many grams of solute are present in a `"1500-g"` sample of a `3.62%` by mass solution of sodium hypochlorite?

Answer 1

`"54 g NaClO"`

Explanation:

A solution's percent concentration by mass is a measure of the number of grams of solute present for every `"100 g"` of solution.

In your case, a solution that is `3.62%` by mass sodium hypochlorite will contain `"3.62 g"` of sodium hypochlorite, the solute, for every `"100 g"` of solution.

As you know, solutions are homogeneous mixtures, which implies that they have the same composition throughout. This allows you to use the percent concentration by mass as a conversion factor to help you find the number of grams of solute present in `'1500 g"` of solution.

More specifically, you will have

`1500 color(red)(cancel(color(black)("g solution"))) * "3.62 g NaClO"/(100color(red)(cancel(color(black)("g solution")))) = color(darkgreen)(ul(color(black)("54 g NaClO")))`

The answer must be rounded to two sig figs, the number of sig figs you have for the mass of the solution.