1. Metronidazole plasma concentration 6 hours after administration of asingle IV dose of 400mg was 16 mg/L, and the concentration after 10hours was 8.0 mg/L. calculate the elimination rate constan
Question
- Metronidazole plasma concentration 6 hours after administration of asingle IV dose of 400mg was 16 mg/L, and the concentration after 10hours was 8.0 mg/L. calculate the elimination rate constan
Solution
The elimination rate constant (k) can be calculated using the formula:
k = (ln(C1) - ln(C2)) / (T2 - T1)
where:
- C1 and C2 are the concentrations at time points T1 and T2, respectively.
- ln is the natural logarithm.
In this case:
- C1 = 16 mg/L (concentration 6 hours after administration)
- C2 = 8.0 mg/L (concentration 10 hours after administration)
- T1 = 6 hours
- T2 = 10 hours
So, the calculation would be:
k = (ln(16) - ln(8)) / (10 - 6)
First, calculate the natural logarithms of the concentrations:
ln(16) ≈ 2.77 ln(8) ≈ 2.08
Then, substitute these values into the formula:
k = (2.77 - 2.08) / (10 - 6) k = 0.69 / 4 k = 0.1725 h^-1
So, the elimination rate constant is approximately 0.1725 per hour.
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