Question

A patient needs to be given exactly 1000ml of 15% (w/v) intravenous glucose solution. The stock solution is 35% (w/v). How many milliners of the stock solution are needed to prepare the fluid for the IV bag??

Answer 1

In this question, the patient needs to be given exactly 1000ml of a 15.0%. The content of the glucose should be: 
weight= volume * density* concentration
1000ml * 1mg/ml *15%= 150mg.

The stock solution is 35%, then the amount needed in ml would be: 
weight= volume * density* concentration
150mg= volume * 1mg/ml *35%
volume= 150/35%= 3000/7= 428.5ml

Answer 2

Given:

Concentration of glucose stock solution, C1 = 35% (w/V)

Concentration of intravenous glucose, C2 = 15 %

Volume of intravenous glucose, V2 = 1000 ml

To determine:

The volume of stock solution needed, V1

Explanation:

Use the relation-

C1 * V1 = C2 * V2

V1 = C2*V2/C1 = 0.15 * 1000/0.35 = 428.6 ml

Ans: Volume of stock solution needed is around 428.6 ml