Question

Calculate the volume of .00500 M solution needed to make 10.00 ml of the following? .00400 M solution .00300 M solution

Answer 1

`V_1 = 8.00` `"mL"`

`V_2 = 6.00` `"mL"`

Explanation:

To solve these problems, we can use the dilution equation

`M_"conc"V_"conc" = M_"dil"V_"dil"`

where

• `M` is the molarity of the concentrated (`"conc"`) and dilute (`"dil"`) solutions

• `V` is the volume of the concentrated and dilute solutions

The volume needed for the first concentration (`0.00400M`) is

`V_"conc" = (M_"dil"V_"dil")/(M_"conc")`

`= ((0.00400cancel(M))(10.00color(white)(l)"mL"))/(0.00500cancel(M)) = color(red)(8.00` `color(red)("mL"`

and the second concentration (`0.00300M`):

`V_"conc" = ((0.00300cancel(M))(10.00color(white)(l)"mL"))/(0.00500cancel(M)) = color(blue)(6.00` `color(blue)("mL"`

Answer 2

Molarity x Volume (concentrate) = Molarity x Volume (diluted)

(0.005M)Vol Conc = (10ml)(0.004M)
=> Vol Concentrate = [(10ml)(0.004M)/(0.005M)] = 8 ml

Mixing => Transfer 8 ml of 0.005M concentrate into mixing container and dilute up to but not to exceed 10 ml total volume=> 0.004M Soln

(0.005M)Vol Conc = (10ml)(0.003M)
=> Vol Concentrate = [(10ml)(0.003M)/(0.005M)] = 6 ml

Mixing => Transfer 6 ml of 0.005M concentrate into mixing container and dilute up to but not to exceed 10 ml total volume=> 0.003M Soln