How many liters of acid should be added to 60l of a 25% acid solutions in order to produce a 40% acid solution

Question

how many liters of acid should be added to 60 l of a 25% acid solution in order to produce a 40% acid solution

Answer 1

Hi Nora,

Well, this is not too bad.  We are going to make an equation based on the amount of acid in the different parts equal to the amount of acid in the end product.

 

First, let's look at the amount we have of each component.  Let x = the amount of pure acid.  6 is the amount of the 25% solution.  So the amount of the final solution is x + 6.  Do you see that? 

 

Next, we look at the amount of acid in each component.100% of x is the amount of acid in that component,   25% of 6 is the amount in the other part and  40% (x+6)is the amount of acid in the   

final amount.  Our equation follows

100% x + 25% (6) = 40% (x+6)

x + 1.5 = .4x + 2.4

You should be able to solve from here.  X will be your answer.

Let me know if you don't understand.

Mary