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?
126 mL/hr
1.26 mL/hr
1260 mL/hr
12.6 mL/hr
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
This is a dosage calculation problem. To solve it, we need to use the formula:A
Desired dose ÷ Available dose × Available quantity = Quantity to give
In this case, the desired dose is 30 mg, the available dose is 20 mg/mL, and the available quantity is 1 mL. Plugging these values into the formula, we get:
30 ÷ 20 × 1 = 1.5
Therefore, the nurse should administer **1.5 mL** of liquid oxycodone hydrochloride to the patient.
Correct Answer is A
Explanation
To find the rate in mL/hr, you need to calculate the following:
- The concentration of nitroglycerin in the IV solution in mcg/mL
- The infusion rate in mL/hr using the formula: Infusion rate (mL/h) = (Dose (mcg/min) x 60 min/h) / Concentration (mcg/mL)
First, convert the concentration of nitroglycerin from mg to mcg by multiplying by 1000:
125 mg x 1000 = 125,000 mcg
Then, divide the amount of nitroglycerin by the volume of the IV solution to get the concentration in mcg/mL:
125,000 mcg / 500 mL = 250 mcg/mL
Next, plug in the values into the formula for infusion rate:
Infusion rate (mL/h) = (42 mcg/min x 60 min/h) / 250 mcg/mL
Simplify and solve for the infusion rate:
Infusion rate (mL/h) = 10.08 mL/h
Therefore, the nurse should program the IV pump to deliver **10.1 mL/h** to infuse nitroglycerin at 42 mcg/minute.
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