# A common stain remover is sold in concentrated form as 3M sodium hypochlorite (NaOCl) You need to create 400 mms of a 0.5M solution of of sodium hypochlorite to fill a spray bottle. What volume of 3M sodium hypochlorite is needed?

Nov 25, 2017

Approximately $66.7 m L$ of the concentrated bleach solution, diluted to $400 m L$ with water will produce the desired concentration for your cleaning pleasure.

#### Explanation:

We're given a desired volume and concentration, and a current concentration, to relate these variables, I'll use the equation,

${M}_{1} {V}_{1} = {M}_{2} {V}_{2}$

Hence,

$400 m L \cdot \frac{L}{{10}^{3} m L} \cdot 0.5 M = 3 M \cdot {V}_{2}$
$\therefore {V}_{2} = 66.7 m L$