208k views
0 votes
Michelle's doctor orders 1.3 mg of Compazine, which is used to treat vertigo. If the stock solution is 6.0% (m/v), how many milliliters are administered?

a) 21.67 mL
b) 15.38 mL
c) 18.33 mL
d) 24.50 mL

User Zhuber
by
7.8k points

1 Answer

4 votes

Final answer:

To find the number of milliliters administered, use the formula C₁V₁ = C₂V₂, where V₁ represents the volume of the stock solution. Given the stock solution concentration and the required dosage, we can solve for V₁ to find that 21.67 mL are administered.

Step-by-step explanation:

To determine the number of milliliters administered, we can use the formula:

C₁V₁ = C₂V₂

Given that the stock solution is 6.0% (m/v) and the doctor orders 1.3 mg of Compazine, we need to calculate the volume (V₁) of the stock solution required.

Let's start by converting 1.3 mg to grams. There are 1000 mg in 1 gram, so 1.3 mg is equal to 0.0013 grams.

We can now rearrange the formula to solve for V₁:

V₁ = (C₂V₂) / C₁

Substituting the given values, we have:

V₁ = (0.0013 g) / (0.06 g/mL) = 0.02167 mL

Therefore, the correct answer is a) 21.67 mL.

User Seunghoon
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.