Question

An intravenous solution contains 500 μg of a drug substance in each milliliter. How many milligrams of the drug would a patient receive from the intravenous infusion of a liter of the solution?

Answer 1

The patient would receive 500mg from the intravenous infusion of a liter of the solution

Explanation:

The problem states that an intravenous solution contains 500 μg of a drug substance in each milliliter. And asks how many milligrams of the drug would a patient receive from the intravenous infusion of a liter of the solution.

First step:

Conversion of 500ug to mg.

Each mg has 1,000ug. So

1mg - 1,000ug

xmg - 500ug

1,000x = 500

`x = (500)/(1,000)`

x = 0.5mg

Each milliliter has 0.5mg. The problem asks how many milligrams of the drug would a patient receive from the intravenous infusion of a liter of the solution.

Each liter has 1000 milliliters. So, the problem asks how many miligrams of the drug would a patient receive from the intravenous infusion of 1000 mililiters of the solution. So

1mL - 0.5mg

1,000mL - xg

x = 0.5*1,000

x = 500mg

The patient would receive 500mg from the intravenous infusion of a liter of the solution