Question

If a doctor orders a 0.1 gram dose of medication with a concentration of 200 mg per milliliter, how many milliliters of the solution are required?

A. 0.2 mL
B. 0.5 mL
C. 1.0 mL
D. 2.0 mL

Answer 1

To calculate the required volume of a medication, convert the ordered dose from grams to milligrams, and then divide by the concentration of the solution. For a 0.1 gram dose with a concentration of 200 mg/mL, the calculation yields 0.5 mL, which is option B.

Step-by-step explanation:

To find how many milliliters of medication are required when a doctor orders a 0.1 gram dose with a concentration of 200 mg per milliliter, you can start by converting grams to milligrams, since the concentration is given in mg/mL. Knowing that 1 gram is equal to 1000 milligrams, we can convert 0.1 grams to milligrams:

0.1 grams = 0.1 × 1000 mg = 100 mg.

Next, we can use the given concentration of the solution to calculate the required volume of solution:

Concentration (C) = mass (m) / Volume (V),

which rearranges to:

Volume (V) = mass (m) / Concentration (C).

Substituting the known values we have:

V = 100 mg / 200 mg/mL = 0.5 mL.

Therefore, the correct volume of the solution required is 0.5 milliliters, which corresponds to option B. 0.5 mL.