SOLUTION: How much water should be added to 10ml of a 10% acid solution to make it a 5% solution?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How much water should be added to 10ml of a 10% acid solution to make it a 5% solution?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 923108: How much water should be added to 10ml of a 10% acid solution to make it a 5% solution?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
total quantity of solution = 10 ml
quantity of Acid = 10 % of 10 ml
=10%2F100%2A10
= 1 ml
let as assume v ml of water is added to 10ml of a 10% acid solution to make it a 5% solution
total quantity of solution now = (10+v) ml
quantity of acid = 5% of (10+v) ml
= 5%2F100+%2A%2810%2Bv%29
=1%2F20%2A%2810%2Bv%29
but , quantity of acid remains same even after adding water
so 1 = 1%2F20%2A%2810%2Bv%29
multiply with 20 on both sides
1*20 = 1%2F20%2A%2810%2Bv%29%2A20
20 =10+v
move 10 to the left
20-10 =v
10 =v
quantity of water added = 10 ml