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A healthcare provider orders nitroprusside (100 mg/1 mL) 3 mcg/kg/minute for a patient weighing 154 lb. What rate (mL/hr) should the nurse program into the IV pump?

A.

126 mL/hr

B.

1.26 mL/hr

C.

1260 mL/hr

D.

12.6 mL/hr

Answer and Explanation

The Correct Answer is B

First, we need to convert the patient's weight from pounds to kilograms using the conversion factor 1 kg =

2.2 lb:

154 lb / 2.2 lb/kg = 70 kg

Next, we need to calculate the dose of nitroprusside in mcg/min using the formula Dose = Weight × Dosage:

Dose = 70 kg × 3 mcg/kg/min = 210 mcg/min

Then, we need to convert the dose of nitroprusside from mcg/min to mg/hr using the conversion factor 1 mg = 1000 mcg:

210 mcg/min × 1 mg/1000 mcg × 60 min/hr = 12.6 mg/hr

Finally, we need to calculate the rate of nitroprusside in mL/hr using the formula Rate = Dose/Concentration:

Rate = 12.6 mg/hr / 100 mg/mL = 0.126 mL/hr

To round to the nearest hundredth, we get 0.13 mL/hr, which is approximately equal to 1.26 mL/hr.

Therefore, the nurse should program the IV pump to deliver nitroprusside at a rate of 1.26 mL/hr.


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Related Questions

Correct Answer is D

Explanation

To find the amount of solution to draw for one dose, you need to calculate the following:

- The body surface area (BSA) of the client in square meters (m²) using the formula: BSA (m²) = √(Height (cm) x Weight (kg) / 3600)
- The dose of allopurinol in milligrams (mg) using the formula: Dose (mg) = BSA (m²) x Prescribed dose
(mg/m²)
- The volume of solution in milliliters (mL) using the formula: Volume (mL) = Dose (mg) / Concentration (mg/mL)


First, use the formula for BSA to find the client's body surface area in square meters:


BSA (m²) = √(Height (cm) x Weight (kg) / 3600)


Since the client's height is 148 cm and weight is 55 kg, plug in these values into the formula:


BSA (m²) = √(148 cm x 55 kg / 3600)


Simplify and solve for the BSA:


BSA (m²) = 1.41 m²


Next, use the formula for dose to find the amount of allopurinol in milligrams:


Dose (mg) = BSA (m²) x Prescribed dose (mg/m²)


Since the client's BSA is 1.41 m² and the prescribed dose is 115 mg/m², plug in these values into the formula:


Dose (mg) = 1.41 m² x 115 mg/m²


Simplify and solve for the dose:


Dose (mg) = 162.15 mg


Then, use the formula for volume to find the amount of solution in milliliters:

Volume (mL) = Dose (mg) / Concentration (mg/mL)


Since the dose is 162.15 mg and the concentration is 25 mg/mL, plug in these values into the formula:


Volume (mL) = 162.15 mg / 25 mg/mL


Simplify and solve for the volume:


Volume (mL) = 6.486 mL


Therefore, the nurse should draw **6.486 mL** of solution for one dose of allopurinol.

Correct Answer is B

Explanation

The nurse should administer 1050 mg of medication to achieve the total prescribed dose.

This answer is correct because it is based on a simple multiplication calculation. The nurse can multiply the prescribed dose per kilogram by the weight of the client in kilograms to get the total dose in milligrams, as follows:

25 mg/kg x 42 kg = 1050 mg

Therefore, the nurse should administer 1050 mg of medication to the client.

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