Final answer:
Using a unit conversion and proportion, it is calculated that there are 2,000 milligrams of a drug in 1,500 mL of a 1:750 solution.
Step-by-step explanation:
To find out how many milligrams of a drug are found in 1,500 mL of a 1:750 solution, a common unit conversion and proportion approach used in pharmaceutical calculations is required.
First, we understand that a 1:750 solution indicates that there is 1 gram of the drug in every 750 mL of solution. To convert the amount to milligrams, we know that 1 gram equals 1,000 milligrams.
Therefore, in 750 mL of solution, there is 1,000 milligrams of the drug. Now, we need to find out how many milligrams are in 1,500 mL of solution. Using a simple proportion:
- 750 mL : 1,000 mg = 1,500 mL : X mg
By cross-multiplying and solving for X:
X = (1,000 mg × 1,500 mL) / 750 mL
X = 2,000 mg
So, there are 2,000 milligrams of the drug in 1,500 mL of the 1:750 solution.