Calculating Solute Amounts for Percent Solutions

Need multiple seats for your university or lab? Get a quote
The page below is a sample from the LabCE course Mathematic Calculations and Applications for the Histology Laboratory. Access the complete course and earn ASCLS P.A.C.E.-approved continuing education credits by subscribing online.

Learn more about Mathematic Calculations and Applications for the Histology Laboratory (online CE course)
Calculating Solute Amounts for Percent Solutions

Calculating the amount of solute needed for a specific solution is often required in the histology laboratory. The following ratio can be used:
% desired/100 mL = g or mL needed/volume desired
Example 1:
Preparation of a 1% acid alcohol solution is needed for the decolorization step of the Ziehl-Nielsen method. A liter of the solution is made routinely with concentrated HCl and 70% alcohol. How many milliliters of concentrated HCl are needed to make 1 liter of the 1% acid alcohol solution?
(Remember, 1 L = 1000 mL)
1/100 mL = X mL/1000 mL
Cross multiplying,
1 x 1000 = 100X
X = 10 mL concentrated HCl
Example 2:
The histologist needs to prepare 500 mL of a 29% ferric chloride solution. Calculate the amount of solute needed.
29/100 = X g/500 mL
Cross multiplying,
29 x 500 = 100X
X = 145 g ferric chloride
Example 3:
A 0.55% solution of potassium metabisulfite is needed for the periodic acid-Schiff (PAS) stain technique. The histotechnician needs to make 400 mL of the solution. How many grams of potassium metabisulfite will be needed?
0.55/100 = X g/400 mL
Cross multiplying,
0.55 X 400 = 100X
X = 2.2 g potassium metabisulfite
You can also look at this %w/v problem in this manner:
A 0.55% solution of potassium metabisulfite contains by definition 0.55 g of solute in 100 mL.
The histotechnician needs to make 400 mL of this percent solution or 4 times the amount of this 0.55% solution of potassium metabisulfite. 4 X 0.55 g = 2.2 g is needed to make 400 mL of the 0.55% solution.