20 liters of solution contains 1.5 times more water than acid. a) How many kilograms of water

20 liters of solution contains 1.5 times more water than acid. a) How many kilograms of water are in the solution? b) What is the concentration of the solution?

a) Let us express the amount of acid in terms of t, then the amount of water in the solution will be 1.5t.

Let’s make the equation:

t + 1.5t = 20;

2.5t = 20;

t = 20: 2.5;

t = 8 liters – in acid solution.

Let’s calculate how many kilograms of water are in the solution:

20 – 8 = 12 kg – water in solution.

Answer: there are twelve kilograms of water in a solution.

b) Calculate the concentration of the solution by making a proportion and expressing the percentage of acid in terms of r:

20 l – 100%,

8 l – r.

r = 8 * 100: 20;

r = 800: 20;

r = 40% is the concentration of the solution.

Answer: the concentration of the solution is forty percent.