Question

A chemist has two large containers of sulfuric acid solution, with different concentrations of acid in each container. Blending 500mL of the first solution and 600 mL of the second gives a mixture that is 17% acid, whereas blending 200 mL of the first mixed with 600 mL of the second gives a 12 1/2 % acid mixture. What are the concentrations of sulfuric acid in the original containers?

first solution	%
second solution

Answer 1

Let first container contains sulfuric acid concentration=x per ml

Second container contains sulfuric acid concentration=y per ml

Total solution=500+600=1100ml

17% of 1100 ml=ml

Total solution blended=200+600=800ml

12 1/2% of 800 ml=ml

According to question

500x+600y=187...(1)

200x+600y=100...(2)

Subtract equation(2) from (1)

per ml

%

Substitute the value of x in equation (2)

per ml

%

First solution=29%

Second solution=7%