Question

part b
a patient requires 0.100 g of a drug. the pharmacist has tablets that contain 50.0 mg of the drug. choose the conversion factors that the pharmacist needs to calculate the number of tablets required for the prescribed dosage.
view available hint(s)
0.100 g×(1 g / 1000 mg)×(50 mg / 1 tablet)
0.100 g×(1 g / 1000 mg)×(1 tablet / 50 mg)
each dosage requires
0.100 g×(1000 mg / 1 g)×(50 mg / 1 tablet)
0.100 g×(1000 mg / 1 g)×(1 tablet / 50 mg)

Explanation:

Step1: Convert grams to milligrams

We know that 1 g = 1000 mg. So to convert the prescribed 0.100 g of the drug to milligrams, we use the conversion factor $\frac{1000\ mg}{1\ g}$.

Step2: Calculate number of tablets

Each tablet contains 50.0 mg of the drug. To find out the number of tablets, we divide the total milligrams of the drug needed by the milligrams per tablet. So we use the conversion factor $\frac{1\ tablet}{50\ mg}$. The correct set - up for calculating the number of tablets is $0.100\ g\times\frac{1000\ mg}{1\ g}\times\frac{1\ tablet}{50\ mg}$.

Answer:

$0.100\ g\times\frac{1000\ mg}{1\ g}\times\frac{1\ tablet}{50\ mg}$