Question

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

Answer 1

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.