A patient with hypertension has orders for an IV infusion of Nipride at 10 mcg/kg/min. The concentration is Nipride 200 mg in 250 ml of D5W. The patient weighs 82 kg. How many ml/hr should the IV pump be programmed for? (Round your answer to the nearest whole number).

To determine the correct IV pump rate in ml/hr, we can follow these steps:

1. **Calculate the dose in mcg/min:**
   \[
   \text{Dose (mcg/min)} = \text{Weight (kg)} \times \text{Dose (mcg/kg/min)}
   \]
   \[
   = 82 \, \text{kg} \times 10 \, \text{mcg/kg/min} = 820 \, \text{mcg/min}
   \]

2. **Convert the dose to mcg/hr:**
   \[
   \text{Dose (mcg/hr)} = 820 \, \text{mcg/min} \times 60 \, \text{min/hr} = 49,200 \, \text{mcg/hr}
   \]

3. **Convert the dose from mcg/hr to mg/hr:**
   \[
   \text{Dose (mg/hr)} = \frac{49,200 \, \text{mcg/hr}}{1000 \, \text{mcg/mg}} = 49.2 \, \text{mg/hr}
   \]

4. **Determine the concentration in mg/ml:**
   \[
   \text{Concentration (mg/ml)} = \frac{200 \, \text{mg}}{250 \, \text{ml}} = 0.8 \, \text{mg/ml}
   \]

5. **Calculate the IV flow rate in ml/hr:**
   \[
   \text{Flow rate (ml/hr)} = \frac{\text{Dose (mg/hr)}}{\text{Concentration (mg/ml)}}
   \]
   \[
   = \frac{49.2 \, \text{mg/hr}}{0.8 \, \text{mg/ml}} = 61.5 \, \text{ml/hr}
   \]

6. **Round to the nearest whole number:**
   \[
   \text{Flow rate} = 62 \, \text{ml/hr}
   \]

The IV pump should be programmed for **62 ml/hr**.

Would you like more details, or do you have any questions?

Here are five related questions you might consider:
1. How would the flow rate change if the concentration of Nipride were different?
2. What are the potential side effects of Nipride infusion at high doses?
3. How do you monitor the effectiveness of an antihypertensive IV infusion?
4. What adjustments would be made if the patient’s weight changed?
5. How do you calculate the infusion rate for medications with different units of measure?

**Tip:** Always double-check unit conversions when calculating medication dosages to avoid errors.

Learn how to calculate the correct IV infusion rate for a patient receiving Nipride. This problem covers essential concepts such as dosage calculation, unit conversion, and ratio and proportion. Suitable for advanced high school students or those studying medical mathematics.

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