Question

The typical dosage of statin drugs for the treatment of high cholesterol is 10 mg. Assuming a total blood volume of 5.0 L, calculate the concentration of drug in the blood in units of % (w/v).

Answer 1

The concentration of a statin drug in the blood after a 10 mg dose, assuming a total blood volume of 5.0 L, is calculated using the % w/v formula and results in a concentration of 0.0002 % w/v.

Step-by-step explanation:

The question is asking for the calculation of the concentration of a statin drug in the blood, specifically in percentage weight/volume (% w/v) units, given a typical dosage and the total blood volume. To find the concentration, we use the formula: % w/v = (mass of solute in grams / volume of solution in mL) x 100.

In this case, the mass of the statin drug is 10 mg, which is equivalent to 0.01 grams since there are 1000 mg in a gram. The total blood volume is given as 5.0 liters, which is equivalent to 5000 mL (since there are 1000 mL in a liter).

Using the formula, calculation is as follows:

1. Convert the mass of the statin drug to grams: 10 mg = 0.01 g.
2. Convert the blood volume to milliliters: 5.0 L = 5000 mL.
3. Calculate the concentration in % w/v: (% w/v) = (0.01 g / 5000 mL) x 100.
4. The result is 0.0002 % w/v.

Therefore, the concentration of the statin drug in the blood is 0.0002 % w/v.