Question #780de
1 Answer
Explanation:
The thing to remember about dilution calculations is that the ratio that exists between the volume of the diluted solution and the volume of the concentrated solution is equal to the ratio that exists between the concentration of the concentrated solution and the concentration of the diluted solution.
#"volume of diluted solution"/"volume of concentrated solution" = "molarity of concentrated solution"/"molarity of diluted solution"#
These two ratios give you the dilution factor,
You know that the concentration of the diluted solution must be
This will give you
#"DF" = (1.00 color(red)(cancel(color(black)("M"))))/(0.750color(red)(cancel(color(black)("M")))) = 4/3#
This is exactly the ratio that must exist between the volume of the diluted solution, which is equal to
#"DF" = "100.0 mL"/V_"stock"#
Therefore,
#V_"stock" = "100.0 mL"/(4/3) = 300.0/4color(white)(.)"mL" = color(darkgreen)(ul(color(black)("75.0 mL")))#