A patient needs to be given exactly 500 mL of a 5.0% (w/v) intravenous glucose s

Question

A patient needs to be given exactly 500 mL of a 5.0% (w/v) intravenous glucose solution. The stock solution is 65% (w/v). How many milliliters of the stock solution are needed to prepare the fluid for the IV bag?

Which equation will determine how much water is needed to prepare the 5.0% (w/v) glucose solution?

a.) Volume of stock solution needed Volume given to patient (500 mL)

b.) Volume given to patient (500 mL) / Volume of stock solution needed

c.) Volume of stock solution needed / Volume given to patient (500 mL)

d.) Volume given to patient (500 mL) – Volume of stock solution needed

Explanation / Answer

The equation used to calculate the volume that will be used to prepare 5.0% (w/V) glucose solution from a stock of 65% (W/V) is as followed;

C1 V1 = C2 V2 , where C1 is the conc of stock solotion (65% glucose), V1 is volume required to prepare 500 ml of 5% of glucose solution. C2 and V2 are the final conc and volume of glucose ie 5% and 500ml respectively.

so, the volume required to prepare 5% of Glucose solution is 38.46 ml. the rest will be make up by water.

The equation tht can be used is
b.) Volume given to patient (500 mL) / Volume of stock solution needed

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