calculate the percent by volume of the disinfectant aki made. Units in mL
We express a solution's volume by volume percent concentration, % v/v
, by calculating how many milliliters of solute are present in 100 mL
of solution.
In essence, all you have to do to determine a solution's volume by volume percent concentration is figure out how many milliliters of solute you get in 100 mL
of solution, then tag along a %
sign to that value.
In your case, you know that you get 18.9 mL
of isopropyl alcohol, your solute, in a total volume of
V
total
=
V
solute
+
V
solvent
V
total
=
18.9 mL
+
412 mL
=
430.9 mL
of solution. In order to find the solution's % v/v
concentration, you must pick pick a 100 mL
of this solution and use its known composition to calculate how many milliliters of isopropyl alcohol it contains
100
mL solution
⋅
the solution's composition
18.9 mL isopropyl alcohol
430.9
mL solution
=
4.39 mL isopropyl alcohol
Now all you have to do is replace the mL
symbol with a %
sign
% v/v
=
4.39 mL isopropyl alcohol
100 mL solution
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
4.39
%
a
a
∣
∣
−−−−−−−−−−−
The answer is rounded to three sig figs.
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