Questions: Nipride 4 mcg / kg / min is ordered to run on a client weighing 180 lbs. The solution is prepared as 50 mg per 500 mL. Calculate the number of mL / hr to be given.

Solution Steps

To solve this problem, we need to follow these steps:

1. Convert the client's weight from pounds to kilograms.
2. Calculate the dosage in micrograms per minute based on the client's weight.
3. Convert the dosage from micrograms per minute to milligrams per hour.
4. Determine the volume of the solution to be administered per hour based on the concentration of the solution.

The client's weight in pounds is given as \( 180 \, \text{lbs} \). To convert this to kilograms, we use the conversion factor \( 1 \, \text{lb} = 0.453592 \, \text{kg} \):

\[ \text{Weight in kg} = 180 \, \text{lbs} \times 0.453592 \, \text{kg/lb} \approx 81.6466 \, \text{kg} \]

The ordered dosage is \( 4 \, \text{mcg/kg/min} \). Therefore, the total dosage in micrograms per minute is:

\[ \text{Dosage (mcg/min)} = 4 \, \text{mcg/kg/min} \times 81.6466 \, \text{kg} \approx 326.5862 \, \text{mcg/min} \]

To convert the dosage from micrograms per minute to milligrams per hour, we use the conversion \( 1 \, \text{mg} = 1000 \, \text{mcg} \) and multiply by \( 60 \) minutes:

\[ \text{Dosage (mg/hr)} = \frac{326.5862 \, \text{mcg/min} \times 60 \, \text{min/hr}}{1000} \approx 19.5952 \, \text{mg/hr} \]

The concentration of the solution is \( 50 \, \text{mg} \) in \( 500 \, \text{mL} \), which gives:

\[ \text{Concentration (mg/mL)} = \frac{50 \, \text{mg}}{500 \, \text{mL}} = 0.1 \, \text{mg/mL} \]

Now, we can find the volume to be administered per hour:

\[ \text{Volume (mL/hr)} = \frac{19.5952 \, \text{mg/hr}}{0.1 \, \text{mg/mL}} \approx 195.9517 \, \text{mL/hr} \]

Final Answer