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

1 Answer
Mar 23, 2017

Answer:

#"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.