Concentration of solution refers to the relative amounts of solute and solvent. It can be expressed as percent by volume, which is the amount of solute in a given volume of solution in grams per 100 mL. It can also be expressed as percent by mass, which is the amount of solute in a given mass of solvent in grams per 100 grams of solution. Sample problems are provided to demonstrate how to calculate the concentration of a solution by determining the mass or volume of solute present using the total mass or volume of the solution and the given percentage concentration. Formulas are also provided to calculate mass percent and volume percent concentration.

1. CONCENTRATION OF
SOLUTION

2. Concentration of Solution
refers to the relative amount of solute
and solvent in a solution.

3. percent by volume, is the amount of solute in a
given volume of solution expressed as grams
solute per 100 milliliter of solution (g/100 mL),
and
percent by mass, is the amount of solute in a
given mass of solvent expressed as grams solute
per 100 grams of solution.
Concentration of Solution is
expressed as:

4. Sample problem 1
How many mL of ethyl alcohol are
present in an 80 mL bottle of solution,
with 70% concentration?
80ml 56 ml

5. This means that an 80ml total volume of
solution with 70% concentration contains 56 ml
of dissolved ethyl alcohol.
Thus, only 24ml is water (solvent).

6. Sample problem 2
A one peso coin has a mass of 3.5
grams. How many grams of copper
are in a one peso coin containing
75% copper by mass?

7. 75% by mass means 75 grams of copper in
100 grams of one peso coin.
So, a 3.5 grams one peso coin contains,
3.5 2.63g

8. To get the percent concentration by
volume/mass, we use this formula:
𝑚𝑎𝑠𝑠 % =
𝑚𝑎𝑠𝑠 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑒
𝑚𝑎𝑠𝑠 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
𝑥 100%
𝑣𝑜𝑙𝑢𝑚𝑒 % =
𝑣𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑒
𝑣𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
𝑥 100%

9. Problem #3
Liza dissolved 10 ml food coloring in 40 ml
water . What will be the percent concentration
by volume of the solution?
𝑣𝑜𝑙𝑢𝑚𝑒 % =
𝑣𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑒
𝑣𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
𝑥 100%
𝑣𝑜𝑙𝑢𝑚𝑒 % =
10𝑚𝑙
40𝑚𝑙
𝑥 100%
= 25%