How do you solve for w/v% concentration when given volume of acid, volume of base, and molarity of base
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How do you solve for w/v% concentration when given volume of acid, volume of base, and molarity of base

[From: ] [author: ] [Date: 11-06-10] [Hit: ]
If the molarity of the base is .500 M calculate the concentration of acetic acid in the vinegar in % w/v.Apparently the correct answer was 7%, but I am stumped as to how that is.........
I was given a question that I got wrong, then was given the answer...

The question is as follows:

"In a titration experiment you used 30 mL of vinegar and 70 mL of NaOH. If the molarity of the base is .500 M calculate the concentration of acetic acid in the vinegar in % w/v."

Apparently the correct answer was 7%, but I am stumped as to how that is....

Please help me understand. Best step by step explanation will get best answer.

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moles of base = (0.500 mol/L) (0.070 L) = 0.035 mol

the acid and base react in a 1;1 molar ratio, so 0.035 mol of acid present.

grams of acid = (0.035 mol) (60.0516 g/mol) = 2.102 g

w/v percent = (2.102 g / 30 mL) (100) = 7.0%
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