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What quantity of 71% hydrochloric acid solution must be mixed with a 18% hydrochloric acid solution to...

What quantity of 71% hydrochloric acid solution must be mixed with a 18% hydrochloric acid solution to produce 8877.5 mL of 20% solution?
Answer: ____ mL

Answer

Let x be the quantity of 71% solution needed. Then, the quantity of 18% solution needed will be (8877.5 - x) mL.

Set up the equation based on the concentration:

0.71x + 0.18(8877.5 - x) = 0.20 * 8877.5

0.71x + 1597.95 - 0.18x = 1775.5

0.53x = 177.55

x = 335.00

Answer: 335 mL

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