Question

A dosage of 3mcg/kg/min has been ordered using a 350mg/250ml

solution strength. The weight is 86.9kg what’s the steps to work
this equation

Answer 1

To work this equation, you need to convert the weight to micrograms (µg), calculate the required dosage in µg/min, convert the solution strength from milligrams per milliliter (mg/mL) to µg/mL, and then calculate the required volume of the solution.

Step-by-step explanation:

Step 1: Convert the weight from kg to µg by multiplying by 1,000,000. 86.9 kg = 86,900,000 µg.

Step 2: Calculate the required dosage in µg/min by multiplying the weight in µg by the dosage rate, which results in 260,700,000 µg/min.

Step 3: Convert the solution strength from mg/mL to µg/mL by multiplying by 1,000,000. 350 mg/250 mL = 1,400,000 µg/mL.

Step 4: Calculate the required volume of the solution by dividing the dosage in µg/min by the solution strength in µg/mL, which gives a volume of 186.2143 mL.

Therefore, the steps to work this equation are:

1. Convert the weight from kg to µg.
2. Calculate the required dosage in µg/min.
3. Convert the solution strength from mg/mL to µg/mL.
4. Calculate the required volume of the solution.