Question #3470c

1 Answer
Stefan V.
Apr 9, 2017

#"34 g TSP"#

Explanation:

A solution's mass by volume percent concentration, #"% m/v"#, tells you the number of grams of solute present for every #"100 mL"# of solution.

In your case, a #"1.7% m/v"# trisodium phosphate solution will contain #"1.7 g"# of trisodium phosphate, the solute, for every #"100 mL"# of solution.

You know that the solution has a total volume of

#2 color(red)(cancel(color(black)("L"))) * (10^3color(white)(.)"mL")/(1color(red)(cancel(color(black)("L")))) = 2 * 10^3# #"mL"#

which means that it must contain

#2 * 10^3 color(red)(cancel(color(black)("mL solution"))) * overbrace("1.7 g TSP"/(100color(red)(cancel(color(black)("mL solution")))))^(color(blue)("= 1.7% m/v TSP solution")) = color(darkgreen)(ul(color(black)("34 g TSP")))#

in order to have the desired mass by volume percent concentration.

The answer is rounded to two sig figs.

Remember, you can use the known percent concentration of a solution as a conversion factor because solutions are homogeneous mixtures, which means that they have the same composition throughout.

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