Question

Continuing with the same patient that has been receiving 80mg every 8 hours (as a 1 hour infusion) another peak and trough concentration was drawn 4 days later because of a decline in kidney function. The trough was 3.2mg/L and the peak was 9.2mg/L.

a. Calculate the new elimination rate constant

Answer 1

To calculate the new elimination rate constant, use the formula (ln(peak concentration) - ln(trough concentration)) / time. In this case, the new elimination rate constant is approximately 0.0366 mg/L/hr.

Step-by-step explanation:

To calculate the new elimination rate constant, we can use the formula:



Elimination Rate Constant (k) = (ln(peak concentration) - ln(trough concentration)) / time



In this case, the peak concentration is 9.2mg/L and the trough concentration is 3.2mg/L. The time is 4 days, or 96 hours. Plugging in these values into the formula:

Elimination Rate Constant (k) = (ln(9.2) - ln(3.2)) / 96

Calculating this, we find that the new elimination rate constant is approximately 0.0366 mg/L/hr.