Question #51d88
1 Answer
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
In other words, if you increase the volume of a solution by a factor of
#"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.