# Question ab100

Jul 28, 2017

The volume of 100% acetic acid is $= 150 m l$

#### Explanation:

Let the volume of acetic acid 100%# be $= v m l$

Then, the volume of water is $= \left(500 - v\right) m l$

We write the material balance equation with respect to the component acetic acid

$100 \cdot v + \left(500 - v\right) \cdot 0 = 500 \cdot 30$

Solving this equation,

$100 v = 15000$

$\implies$, $v = \frac{15000}{100} = 150 m l$

Jul 28, 2017

Do you mean "vinegar in water" or do you mean "acetic acid in water"?

#### Explanation:

If you want to make a 30% solution of acetic acid in water, the calculation is trivial: Total volume of solution = 500 ml. % by volume of acetic acid = 30%, therefore volume of acetic acid required = $\left(\frac{30}{100}\right) .500 = 150$ ml.

However, a "30% vinegar in water" solution is entirely different, as vinegar is only 4 - 5 % acetic acid. So if you wanted to create the equivalent of a 30% vinegar in water solution using acetic acid and water, you would need to use approximately: $\left(\frac{30}{100}\right) . \left(\frac{4}{100}\right) \cdot 500 = 6$ ml of acetic acid.

Please note that whilst acetic acid is a component of vinegar, acetic acid and vinegar are NOT the same thing!