Math doasge calculation

Question

A patient has been prescribed 250,000 units of penicillin G potassium. The instructions on the 10,000,000-unit vial are as follows: Add 19.6 mL of sterile diluent to vial; 1 mL = 500,000 units. How many milliliters would you withdraw from the vial to obtain the needed amount of this antibiotic?

Answer 1

Answer: To obtain 250,000 units of penicillin G potassium, we can use the following equation to determine the volume of the diluted solution that needs to be withdrawn from the vial:

(units needed) / (units per mL of diluted solution) = volume needed

We are given that 1 mL of the diluted solution contains 500,000 units of penicillin G potassium. Therefore, we can calculate the volume of the diluted solution that contains 250,000 units as follows: 250,000 units / 500,000 units per mL = 0.5 mL

This means that we need to withdraw 0.5 mL of the diluted solution from the vial.

To prepare the diluted solution, we are instructed to add 19.6 mL of sterile diluent to the 10,000,000-unit vial, which contains 20 mL of solution after dilution. Each milliliter of the diluted solution contains 500,000 units (10,000,000 units / 20 mL = 500,000 units per mL).

Therefore, we can withdraw 0.5 mL of the diluted solution from the vial to obtain the needed amount of 250,000 units of penicillin G potassium.

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