SOLUTION: I have one gallon of acid 30% solution . I need to reduce it to 5% acid. How much water should I add?

Question 877862: I have one gallon of acid 30% solution . I need to reduce it to 5% acid. How much water should I add?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"I have one gallon of acid 30% solution"

So you have 1*0.30 = 0.30 gallons of pure acid.

-------------------------------------------------------

This means

(amount of pure acid)/(total amount of solution) = (0.30)/(1) = 0.30

which points back to the 30% acid solution

-------------------------------------------------------

Let x = amount of water to add (amount in gallons)

If you add x gallons of water to the solution, you get 1+x total gallons (acid + water)

so we now have

(amount of pure acid)/(total amount of solution) = (0.30)/(1+x)

You then take (0.30)/(1+x) and set that equal to 0.05 because you want to force the final solution to be 5% acid.

So,

(0.30)/(1+x) = 0.05

Now solve for x

(0.30)/(1+x) = 0.05
0.30 = 0.05(1+x)
0.30 = 0.05+0.05x
0.30-0.05 = 0.05x
0.25 = 0.05x
0.25/0.05 = x
5 = x
x = 5

You need to add 5 gallons of pure water to dilute the 30% acid solution to a 5% acid solution.
RELATED QUESTIONS
I need to reduce a gallon of 24% muriatic acid solution down to a 4% solution,how much... (answered by ikleyn)

How much water should I add to 10ml of a 10% acid solution to make it a 5%... (answered by richwmiller)

I have one solution of 70% acid 30% water and another that is 20% acid 80% water. How... (answered by Fombitz)

if i have a 5 gallon bucket of hydrochloric acid that's a 30 % concentration how much... (answered by Alan3354)

I have a one gallon container and I need to make up a 2.5% solution of acetic acid in... (answered by ankor@dixie-net.com)

I have 500g solution that is 40% acid, how many water should I add to make it 25%... (answered by lwsshak3)

I have a 55 gallon tank. I would like a 15% sulfuric acid, 85% water solution in my tank. (answered by richwmiller)

I want to find out how much water needs to be added to one gallon of a 75% phosphoric... (answered by josgarithmetic)

I want to make 200 LIters of a 5% acid solution. If I have a 25% acid solution, how much... (answered by josgarithmetic)