# 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**, **decreased** after the dilution.

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 **volume of the stock solution**, let's say

#"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")))#