Question

A new drug has a density of 1.254 g/ml. It has a dosage of 50.0 mg drug per kg of body weight. The drug works best at 36 0C (body temperature). The bottle of the drug contains 0.050 L of the drug.

What metric conversion unit would you need to know to find the mass of the drug in the bottle?

Answer 1

To find the mass of the drug, convert the volume from liters to milliliters and multiply by the density (1.254 g/ml) to get the mass in grams.

Step-by-step explanation:

To find the mass of the drug in a bottle that contains 0.050 L of the drug with a density of 1.254 g/ml, the metric conversion unit needed is grams (g). This is because density is given in grams per milliliter (g/ml), and volume is provided in liters (L). You would convert the volume of the drug from liters to milliliters, and then use the density to find the mass in grams using the formula:

Mass (g) = Density (g/mL) × Volume (mL)

Since there are 1,000 milliliters in 1 liter, you would multiply the volume of the drug in liters (0.050 L) by 1,000 to convert it to milliliters. Then you multiply by the density:

Mass (g) = 1.254 g/mL × 0.050 L × 1,000 mL/L

You would then calculate the mass in grams, which is the required metric unit of mass for the drug.