Calculating The Concentration Of Drug V Essay Paper

## Question

a. 48.4 μg/mL

b. 24.2 μg/mL

c. 96.8 μg/mL

d. 42.4 μg/mL

e. 17.8 μg/mL

## Expert Answer

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### Step-by-step

1st step

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Step 1/3

The concentration of drug V at any given time during infusion can be calculated using the following formula:

C = Css × (1 − e^(-kt))

Explanation:

Step 2/3

Since the half-life of drug V is 4 hours, we can calculate the elimination rate constant (k) using the following formula:

k = 0.693 / t1/2 k = 0.693 / 4 = 0.173 h^-1

Step 3/3

Now we can calculate the concentration of drug V at 12 hours:

C = Css × (1 − e^(-kt)) C = 48.4 μg/mL × (1 − e^(-0.173 × 12)) C = 24.2 μg/mL

Final answer