Pure acid is to be adderd to a 10% acid solution to obtain 90L of 94% solution. What amounts of each should be used?

Question

Pure acid is to be added to a 10% acid solution to obtain 90L of 94% solution.  What amounts of each should be used?

Answer 1

Let x = number of liters of pure acid that is added to the solution.

 

(acid content of pure acid) + (acid content of 10% acid solution) = (acid content of mixture)

 

acid content = (concentration)(number of liters of solution)

 

So, 1.00x + 0.10(90 - x) = .94(90)

 

           x + 9 - 0.10x = 84.6

 

            0.90x + 9 = 84.6

 

                     0.90x = 75.6

 

                              x = 84 liters

 

ANSWER:  add 84 liters of pure acid to 6 liters of 10% acid solution to obtain 90 liters of solution that is 94% acid.