Final answer:
To calculate the required infusion rate, find the total dose of acetylcysteine and divide it by the infusion time. The required infusion rate is 1.725 mL/min.
Step-by-step explanation:
To calculate the required infusion rate, we need to find the total dose of acetylcysteine needed and divide it by the infusion time. Sarah weighs 69 kg and the dose of acetylcysteine is 150 mg/kg. So, the total dose of acetylcysteine is 69 kg * 150 mg/kg = 10350 mg.
The concentration of the acetylcysteine solution is 200 mg/mL. The required volume of the solution can be found by dividing the total dose of acetylcysteine by the concentration:
10350 mg / 200 mg/mL = 51.75 mL.
The infusion time is given as 0.5 hours, which is equal to 30 minutes. Therefore, the required infusion rate is calculated by dividing the required volume by the infusion time:
51.75 mL / 30 minutes = 1.725 mL/min.