Question

Question #51d88

Answer 1

`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.

In your case, you have

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

This means that the stock solution was `color(blue)(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 `color(blue)(6)` by way of dilution, its concentration will decrease by a factor of `color(blue)(6)`.

`"DF" = c_"stock"/c_"diluted" implies c_"diluted" = c_"stock"/color(blue)(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.