Basic Solution Dilution

Question

You need 520. mL of a 15 % (m/v) glucose solution. If you have a 25% (m/v) glucose solution on hand, how many milliliters do you need?

Answer 1

Since the % is m/V, then this can be used to calculate the concentrations from the concentrated solution to prepare the diluted solution.

 

(%1)(V1) = (%2)(V2)   were 1 is for the concentrated solution and 2 is for the diluted solution.

 

(25/100)(V1)  =  (15/100)(520 mL)

 

Divide both sides of the equation by (25/100),

  

(25/100)(V1)/(25/100) = (15/100)(520 mL)/(25/100)

 

V1  =  (15/100)(520 mL)/(25/100)

 

V1 = 315 mL of the 25% (m/V) solution.