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White vinegar is available as a 5% acetic acid solution and a 10% solution, by volume. How many millilitres of each solution must be added to make 100ml of a 7%solution?

User Flix
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1 Answer

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Answer:

The answer to your question is 60 ml of solution 5% and 40 ml of solution 10 %

Step-by-step explanation:

Data

acetic acid = 5% = concentration 1

acetic acid 2 = 10% = concentration 2

final solution = 7 % =

final volume = 100 ml

Process

1.- Write an equation of the process

x = volume of solution 5%

100 - x = volume of solution 10%

Final concentration x final volume = concentration 1 x volume 1 + concentration 2 x volume 2

0.07(100) = 0.05x + 0.10(100 - x)

2.- Solve for x

7 = 0.05x + 10 - 0.1x

7 - 10 = 0.05 - 0.1 x

- 3 = -0.05 x

x = -3/-0.05

x = 60 ml of solution 5%

3.- Calculate the volume of solution 10%

Volume of 10% = 100 - 60

Volume of 10% = 40 ml

User Than Skourtan
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