Final answer:
The mcg/min dosage for the patient weighing 95.4kg prescribed 5mg/kg/min is 477000.0 mcg/min. The flow rate for a solution strength of 25mg/100mL to achieve this dosage is 1145 mL/hr.
Step-by-step explanation:
The subject of this question involves the calculation of drug dosages and flow rates in medicine, which are critical in ensuring patient safety and effective treatment. To find the mcg/min dosage, we need to convert the prescribed dosage from mg/kg/min to mcg/kg/min, and then factor in the patient's weight. Given a prescribed dosage of 5mg/kg/min and a patient weight of 95.4kg, the calculation is as follows:
5 mg/kg/min = 5000 mcg/kg/min
5000 mcg/kg/min × 95.4 kg = 477000 mcg/min
Therefore, the dosage is 477000 mcg/min, rounded to the nearest tenth, which is 477000.0 mcg/min.
To calculate the mL/hr flow rate, we use the strength of the solution, which is 25mg/100mL. First, we find the total mg required per minute:
5 mg/kg/min × 95.4 kg = 477 mg/min
Then, we convert this to hourly dosage:
477 mg/min × 60 min/hr = 28620 mg/hr
Now, we calculate how many mLs of the 25mg/100mL solution are needed per hour:
28620 mg ÷ (25 mg/100 mL) = 1144.8 mL/hour
Rounded to the nearest whole number, the flow rate is 1145 mL/hr.