# Marryam has a bottle of 5% acetic acid and a bottle of of 10% acetic acid. How much of each should she use to make 250 mL of 8 acetic acid?

May 23, 2018

#### Explanation:

Apply a material balance with respect to acetic acid.

Volume of 8% acetic acid is $V = 250 m l$

Volume of 5% acetic acid is $= x m l$

Volume of 10% acetic acid is $= \left(250 - x\right) m l$

Therefore,

$\frac{8}{100} \cdot 250 = \frac{5}{100} \cdot x + \frac{10}{100} \cdot \left(250 - x\right)$

Solving this equation for $x$

$0.05 x + 25 - 0.1 x = 20$

$0.05 x = 5$

$x = 100$

So,

Volume of 5% acetic acid is $= 100 m l$

Volume of 10% acetic acid is $= 150 m l$