Section 3: Calculating the Volume of Product
If you know the % w/v of a component and you know how many grams of that component you have, you can calculate what volume of product is involved.
18 g of Sodium Chloride are dissolved in water to produce a solution with a concentration of 0.9 % w/v Sodium Chloride. What is the volume of the solution?
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Ratio Solution
The volume of the solution is 2000 ml.
A concentration of 0.9 % w/v means that there are:
0.9 g Sodium Chloride in 100 ml of solutionThus: 18 g Sodium Chloride is in 18 x 100 ml of solution
0.9
18 g Sodium Chloride is in 2000 ml of solution
0.9
Equation Solution
The volume of the solution is 2000 ml.
% w/v = mass of solute x 100 (g/100ml)
volume of product
volume of product
which rearranges to:
volume of the product = mass of solute x 100 ml
% w/v
% w/v
Volume of Sodium Chloride solution = 18 x 100 ml
0.9
Volume of Sodium Chloride solution = 2000 ml
0.9
Volume of Sodium Chloride solution = 2000 ml