How many litres of water must be added to 8 litres of a 40% acid solution to obtain a 10 % acid solution??

Question

PLEASE HELP VERY URGENT !!.. explain ur naswer in steps...

Answer 1

ok, so the total right now is 8 liters
and 40% of that is acid

so, 40% of 8 liters = 3.2 liters of acid.

you've got 3.2 L of acid in the 8 liters total.

now you want it so that the 3.2 liters of acid is 10% of the total.


10% of Total = 3.2 Liters

divide by 10%
Total = 32 Liters

but you started with 8 Liters

so you need to add 32 - 8 or 24 liters of water.

Answer 2

Simple:

You are reducing the concentration of acid from 40% to 10%, so the desired result is only 25% as strong as the original solution. It takes 3 times as much water as the current solution to achieve that result. 8 X 3 = 24 litres...

Answer 3

40% of 8 litres of your solution is acid, so you have 3.2 litres of pure acid.
algebriacly
one can add x litres to get a 10% solution. Since you are not adding acid.
.10*(8 + x) = 3.2
8 + x = 32
x = 24

Answer 4

water is 0% acid and x represents # liters of water

so 0(x) + .40(8) = .10(x+8)
solve this and get x = 24 liters of water

Answer 5

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Answer 6

8 * 0.4 = 3.2 liters of acid.

3.2/0.1 = 32 liters 10% solution.

Water to add = 32 - 3.2 - 8 = 20.8 liters

Answer 7

"sssssh" is right ;-)