Question

If a drug has a concentration of 5.315 mg per 3.743 mL, how many mL are needed to give 4.719 gram of the drug? Round to 1 decimal.

Answer 1

888.4 mL.

Explanation:

To solve this problem, we can use the following formula:

Amount of drug (in mg) = concentration (in mg/mL) × volume (in mL)

We are given the concentration of the drug as 5.315 mg per 3.743 mL. To find the volume of the drug needed to give 4.719 g, we need to rearrange the formula to solve for volume:

Volume (in mL) = amount of drug (in mg) ÷ concentration (in mg/mL)

First, we need to convert 4.719 g to mg by multiplying by 1000:

4.719 g × 1000 mg/g = 4719 mg

Now we can substitute the given concentration and the calculated amount of drug into the formula and solve for volume:

Volume (in mL) = 4719 mg ÷ 5.315 mg/mL

Volume (in mL) ≈ 888.5 mL

Therefore, approximately 888.5 mL of the drug are needed to give 4.719 g. Rounded to 1 decimal, the answer is 888.4 mL.