# Question 51d88

Oct 2, 2017

0.5%

#### Explanation:

The key here is the ratio that exists between the volume of the diluted solution and the volume of the stock solution.

This ratio--called the dilution factor--is actually equal to the ratio that exists between the concentration of the stock solution and the concentration of the diluted solution.

"DF" = (300 color(red)(cancel(color(black)("cc"))))/(50color(red)(cancel(color(black)("cc")))) = color(blue)(6)

This means that the stock solution was $\textcolor{b l u e}{6}$ times as concentrated as the dilution solution will be.

In other words, if you increase the volume of a solution by a factor of $\textcolor{b l u e}{6}$ by way of dilution, its concentration will decrease by a factor of $\textcolor{b l u e}{6}$.

$\frac{\text{DF" = c_"stock"/c_"diluted" implies c_"diluted" = c_"stock}}{\textcolor{b l u e}{6}}$

This means that you have

c_"diluted" = (3%)/color(blue)(6) = color(darkgreen)(ul(color(black)(0.5%)))#

The answer is rounded to one significant figure.