What would be the final volume of a 10.4% (m/v) solution made from 5.00 g of solute?

1 Answer
Stefan V.
Mar 14, 2018

#"48.1 mL"#

Explanation:

The idea here is that a solution's mass by volume percent concentration, #"m/v %"#, tells you the number of grams of solute present in exactly #"100 mL"# of the solution.

In your case, the solution is said to have a mass by volume percent concentration of #10.4%#, which implies that every #"100 mL"# of this solution contain #"10.4 g"# of solute.

Now, you know that your target solution must contain #"5.00 g"# of solute, so you can determine the volume of the solution by using the mass by volume percent concentration as a conversion factor.

#5.00 color(red)(cancel(color(black)("g solute"))) * "100 mL solution"/(10.4color(red)(cancel(color(black)("g solute")))) = color(darkgreen)(ul(color(black)("48.1 mL solution")))#

The answer is rounded to three sig figs, the number of sig figs you have for your values.

So, in order to make this #"10.4% m/v"# solution, you need to dissolve #"5.00 g"# of solute in enough water to get the total volume of the solution to #"48.1 mL"#.

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