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Soru 61Soru →

An adult client is being treated for a pulmonary embolism and is currently receiving a continuous intravenous heparin infusion at 15 units/kg/hr15 \text{ units/kg/hr}. The client weighs 198 lbs198 \text{ lbs}. The infusion bag supplied by the pharmacy contains 25,000 units25,000 \text{ units} of heparin in 500 mL500 \text{ mL} of 5%5\% Dextrose in Water (D5W). The client's most recent activated partial thromboplastin time (aPTT) result is 41 seconds41 \text{ seconds}.

The facility's heparin adjustment protocol states:

aPTT ResultRequired Action
<35 seconds< 35 \text{ seconds}Bolus 80 units/kg80 \text{ units/kg}, increase infusion by 4 units/kg/hr4 \text{ units/kg/hr}
36−44 seconds36 - 44 \text{ seconds}Bolus 40 units/kg40 \text{ units/kg}, increase infusion by 2 units/kg/hr2 \text{ units/kg/hr}
45−75 seconds45 - 75 \text{ seconds}No change to current infusion rate
76−90 seconds76 - 90 \text{ seconds}Decrease infusion by 2 units/kg/hr2 \text{ units/kg/hr}

Based on the protocol, at what rate in mL/hr\text{mL/hr} should the nurse set the infusion pump for the continuous maintenance drip? (Record your answer to the nearest tenth.)

Cevabı ve açıklamayı göster

Cevap: 30.6

Cevap

30.6
The correct pump rate is derived by first converting the client's weight to kilograms (198 lbs÷2.2=90 kg198 \text{ lbs} \div 2.2 = 90 \text{ kg}). Based on the aPTT result of 41 seconds41 \text{ seconds}, the protocol requires increasing the current infusion rate (15 units/kg/hr15 \text{ units/kg/hr}) by 2 units/kg/hr2 \text{ units/kg/hr}, making the new rate 17 units/kg/hr17 \text{ units/kg/hr}. Multiplying this by the client's weight yields a total hourly dose of 1530 units/hr1530 \text{ units/hr}. Dividing this hourly dose by the concentration of the IV solution (50 units/mL50 \text{ units/mL}) gives the required continuous pump rate of 30.6 mL/hr30.6 \text{ mL/hr}.

Adım Adım Çözüm

1
Convert the client's weight from pounds to kilograms.
198 lbs÷2.2 lbs/kg=90 kg198 \text{ lbs} \div 2.2 \text{ lbs/kg} = 90 \text{ kg}
Heparin dosing is weight-based in kilograms, so an accurate conversion is the foundational step for safe medication administration.
2
Determine the required protocol action based on the aPTT result.
The aPTT is 41 seconds41 \text{ seconds}, which falls into the 36−44 seconds36 - 44 \text{ seconds} range. The protocol requires an increase of the continuous infusion by 2 units/kg/hr2 \text{ units/kg/hr}.
Protocols standardize medication titration based on objective laboratory data to achieve a therapeutic window.
3
Calculate the new total hourly heparin dose.
Current rate (15 units/kg/hr15 \text{ units/kg/hr}) + Increase (2 units/kg/hr2 \text{ units/kg/hr}) = New rate (17 units/kg/hr17 \text{ units/kg/hr}). Total hourly dose = 17 units/kg/hr×90 kg=1530 units/hr17 \text{ units/kg/hr} \times 90 \text{ kg} = 1530 \text{ units/hr}.
The adjustment must be added to the baseline rate before calculating the total weight-based hourly dose.
4
Calculate the concentration of the available heparin bag.
25,000 units÷500 mL=50 units/mL25,000 \text{ units} \div 500 \text{ mL} = 50 \text{ units/mL}
Establishing the exact concentration is necessary to convert the ordered dose (units) into a fluid volume (mL).
5
Calculate the new infusion pump rate in mL/hr.
1530 units/hr÷50 units/mL=30.6 mL/hr1530 \text{ units/hr} \div 50 \text{ units/mL} = 30.6 \text{ mL/hr}. (Already at the nearest tenth).
Dividing the desired hourly dose by the concentration yields the exact programming parameter for the intravenous pump.

Anahtar Kavram

Weight-based intravenous medication calculations and protocol-driven heparin titration.
Soru 62Soru →

During a shift in the cardiac intensive care unit, a nurse receives an order to titrate a continuous dobutamine infusion for a client in cardiogenic shock. The client's documented weight is 92 kg92\text{ kg}. The medication is infusing from a 250 mL250\text{ mL} bag of 5% dextrose in water (D5W) containing 500 mg500\text{ mg} of dobutamine. The current pump rate is displayed as 18 mL/hr18\text{ mL/hr}.

The prescribed titration parameter dictates: "Increase dobutamine dose by 2.5 mcg/kg/min2.5\text{ mcg/kg/min} every 15 minutes to maintain a mean arterial pressure (MAP) >65 mmHg> 65\text{ mmHg}."

The last titration was 20 minutes ago, and the client's current MAP is 58 mmHg58\text{ mmHg}. What new rate, in mL/hr\text{mL/hr}, must the nurse program into the infusion pump? Record your answer using one decimal place.

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Cevap: 24.9

Cevap

24.9
To safely perform an upward titration of a continuous weight-based vasoactive infusion, the nurse must accurately calculate the incremental volume increase and add it to the current baseline rate. First, find the concentration: \(500\text{ mg} = 500,000\text{ mcg}\); \(500,000\text{ mcg} \div 250\text{ mL} = 2,000\text{ mcg/mL}\). Next, calculate the increase needed: \(2.5\text{ mcg/kg/min} \times 92\text{ kg} = 230\text{ mcg/min}\). Convert this to an hourly dose: \(230\text{ mcg/min} \times 60\text{ min/hr} = 13,800\text{ mcg/hr}\). Determine the pump volume for this increase: \(13,800\text{ mcg/hr} \div 2,000\text{ mcg/mL} = 6.9\text{ mL/hr}\). Finally, add this volume to the current rate: \(18\text{ mL/hr} + 6.9\text{ mL/hr} = 24.9\text{ mL/hr}\).

Adım Adım Çözüm

1
Calculate the concentration of the dobutamine infusion in mcg/mL.
\(2,000\text{ mcg/mL}\)
Converting to mcg/mL establishes the baseline concentration needed to calculate volume for the weight-based dose, since dobutamine is dosed in mcg/kg/min.
2
Determine the required dose increase per minute based on the client's weight.
\(230\text{ mcg/min}\)
The protocol requires an increase of 2.5 mcg/kg/min. Multiplying by the client's weight (92 kg) gives the total mcg per minute to add.
3
Convert the dose increase from a per-minute rate to a per-hour rate.
\(13,800\text{ mcg/hr}\)
IV pumps are programmed in mL/hr, so the medication dose must be converted to an hourly rate before calculating the corresponding fluid volume.
4
Calculate the additional volume rate (mL/hr) required to deliver the dose increase.
\(6.9\text{ mL/hr}\)
Dividing the hourly dose (13,800 mcg/hr) by the concentration (2,000 mcg/mL) determines how much additional fluid volume is needed per hour.
5
Add the calculated additional volume rate to the current infusion pump rate.
\(24.9\text{ mL/hr}\)
The question asks for the NEW rate on the IV pump, which is the sum of the current continuous rate (18 mL/hr) and the calculated titration increase (6.9 mL/hr).

Anahtar Kavram

Continuous IV Infusion Titration and Weight-Based Dosage Calculation
Soru 63Soru →

A client admitted with a pulmonary embolism has a new prescription for a continuous intravenous heparin infusion at 18 units/kg/hr18\text{ units/kg/hr}. The client weighs 187 lbs187\text{ lbs}. The pharmacy dispenses a premixed bag containing 25,000 units25,000\text{ units} of heparin in 500 mL500\text{ mL} of 0.9%0.9\% sodium chloride. At what rate in mL/hr\text{mL/hr} should the nurse program the infusion pump? (Round the final answer to the nearest whole number.)

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Cevap: 31

Cevap

31
To find the correct infusion rate, first convert the weight to kilograms (187÷2.2=85 kg187 \div 2.2 = 85\text{ kg}). Next, multiply the weight by the prescribed dose to find the hourly requirement (85 kg×18 units/kg/hr=1530 units/hr85\text{ kg} \times 18\text{ units/kg/hr} = 1530\text{ units/hr}). Then, divide the total units in the bag by the total volume to find the concentration (25,000 units÷500 mL=50 units/mL25,000\text{ units} \div 500\text{ mL} = 50\text{ units/mL}). Finally, divide the hourly requirement by the concentration to find the rate in mL/hr (1530÷50=30.6 mL/hr1530 \div 50 = 30.6\text{ mL/hr}) and round to the nearest whole number (31 mL/hr31\text{ mL/hr}).

Adım Adım Çözüm

1
Convert the client's weight from pounds to kilograms.
187 lbs÷2.2=85 kg187\text{ lbs} \div 2.2 = 85\text{ kg}
The prescription is weight-based using the metric system.
2
Calculate the target hourly dose.
85 kg×18 units/kg/hr=1530 units/hr85\text{ kg} \times 18\text{ units/kg/hr} = 1530\text{ units/hr}
To determine how much medication the client needs per hour based on their body weight.
3
Determine the concentration of the IV solution.
25,000 units÷500 mL=50 units/mL25,000\text{ units} \div 500\text{ mL} = 50\text{ units/mL}
To find out how many units are contained in a single milliliter of the provided IV fluid.
4
Calculate the required volume to be infused per hour.
1530 units/hr÷50 units/mL=30.6 mL/hr1530\text{ units/hr} \div 50\text{ units/mL} = 30.6\text{ mL/hr}
To determine the exact rate for the infusion pump before rounding.
5
Round the result to the nearest whole number.
31 mL/hr31\text{ mL/hr}
The prompt specifies to round the final answer to the nearest whole number, as is standard for most adult IV infusion pumps.

Anahtar Kavram

Weight-Based Intravenous Medication Dosage Calculation
Soru 64Soru →

The healthcare provider prescribes a 100 mL100\text{ mL} intravenous piggyback infusion of ceftriaxone to run over 30 minutes30\text{ minutes}. At what rate, in mL/hr\text{mL/hr}, will the nurse set the electronic infusion pump? (Record your answer as a whole number).

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Cevap: 200

Cevap

200
To determine the correct rate for an electronic infusion pump, the nurse must divide the total volume to be infused by the total time in hours. First, convert 30 minutes30\text{ minutes} to 0.5 hours0.5\text{ hours}. Then, divide the 100 mL100\text{ mL} volume by 0.5 hours0.5\text{ hours}, which equals an infusion rate of 200 mL/hr200\text{ mL/hr}.

Adım Adım Çözüm

1
Identify the provided variables for the infusion.
Total volume = 100 mL100\text{ mL}, Total time = 30 minutes30\text{ minutes}.
These are the two necessary components to calculate a continuous pump infusion rate.
2
Convert the infusion time from minutes into hours.
30 minutes÷60 minutes/hour=0.5 hours30\text{ minutes} \div 60\text{ minutes/hour} = 0.5\text{ hours}.
Electronic infusion pumps are programmed in milliliters per hour (mL/hr\text{mL/hr}), so the time variable must match the required unit.
3
Calculate the final infusion rate.
100 mL÷0.5 hours=200 mL/hr100\text{ mL} \div 0.5\text{ hours} = 200\text{ mL/hr}.
Dividing the total volume by the total time in hours yields the correct hourly pump setting.

Anahtar Kavram

Calculating intravenous infusion rates in mL/hr
Soru 65Soru →

A client with a deep vein thrombosis has a prescription for a continuous heparin infusion at 1,200 units/hr1,200\text{ units/hr}. The pharmacy dispenses an intravenous bag containing 25,000 units25,000\text{ units} of heparin mixed in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5W). At what rate should the nurse set the infusion pump? Record your answer as a whole number.

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Cevap: 12

Cevap

12
To determine the correct pump setting in mL/hr\text{mL/hr}, the nurse must first find the concentration of the solution (25,000 units÷250 mL=100 units/mL25,000\text{ units} \div 250\text{ mL} = 100\text{ units/mL}). Then, divide the prescribed dose by the concentration (1,200 units/hr÷100 units/mL=12 mL/hr1,200\text{ units/hr} \div 100\text{ units/mL} = 12\text{ mL/hr}). Alternatively, the formula DesiredHave×Volume\frac{\text{Desired}}{\text{Have}} \times \text{Volume} can be used: 1,200 units25,000 units×250 mL=12 mL/hr\frac{1,200\text{ units}}{25,000\text{ units}} \times 250\text{ mL} = 12\text{ mL/hr}.

Adım Adım Çözüm

1
Calculate the concentration of the available heparin solution.
25,000 units250 mL=100 units/mL\frac{25,000\text{ units}}{250\text{ mL}} = 100\text{ units/mL}
Finding the concentration identifies how many units of the medication are present in a single milliliter of the fluid.
2
Calculate the required volume to deliver the prescribed hourly dose.
1,200 units/hr100 units/mL=12 mL/hr\frac{1,200\text{ units/hr}}{100\text{ units/mL}} = 12\text{ mL/hr}
Dividing the desired dose by the concentration yields the required infusion rate on the pump.

Anahtar Kavram

Intravenous medication dosage calculation based on concentration
Tahmini Süre:1m 0s
Soru 66Soru →

A client weighing 78 kg78\text{ kg} is admitted to the progressive care unit with a hypertensive crisis. The healthcare provider prescribes a continuous intravenous infusion of sodium nitroprusside at a rate of 3 mcg/kg/min3\text{ mcg/kg/min}. The medication is supplied as sodium nitroprusside 50 mg50\text{ mg} mixed in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5W). At what rate should the nurse set the infusion pump in mL/hr\text{mL/hr}? Round your answer to the nearest tenth.

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Cevap: 70.2

Cevap

70.2
To determine the correct infusion pump rate, the nurse must first calculate the total hourly dose based on the client's weight (78 kg×3 mcg/kg/min×60 min/hr=14,040 mcg/hr78\text{ kg} \times 3\text{ mcg/kg/min} \times 60\text{ min/hr} = 14,040\text{ mcg/hr}). Next, this dose must be converted to match the supplied medication unit (14,040 mcg=14.04 mg14,040\text{ mcg} = 14.04\text{ mg}). Finally, dividing the hourly dose by the concentration of the IV solution (14.04 mg/hr÷0.2 mg/mL14.04\text{ mg/hr} \div 0.2\text{ mg/mL}) yields exactly 70.2 mL/hr70.2\text{ mL/hr}.

Adım Adım Çözüm

1
Calculate the required dose in micrograms per minute.
234 mcg/min234\text{ mcg/min}
The prescription is weight-based, so the client's total body weight must be multiplied by the ordered rate of 3 mcg/kg/min3\text{ mcg/kg/min}.
2
Convert the minute dose to an hourly dose.
14,040 mcg/hr14,040\text{ mcg/hr}
Intravenous infusion pumps are programmed in milliliters per hour, so the total medication dose must be determined on an hourly basis.
3
Convert the hourly dose from micrograms to milligrams.
14.04 mg/hr14.04\text{ mg/hr}
The supplied medication is measured in milligrams, so units must match the supply before calculating the final volume.
4
Calculate the concentration of the supplied intravenous medication.
0.2 mg/mL0.2\text{ mg/mL}
Dividing the total drug mass (50 mg50\text{ mg}) by the total fluid volume (250 mL250\text{ mL}) yields the amount of active drug in each milliliter of solution.
5
Calculate the final pump infusion rate in mL/hr.
70.2 mL/hr70.2\text{ mL/hr}
Dividing the required hourly dose (14.04 mg/hr14.04\text{ mg/hr}) by the drug concentration (0.2 mg/mL0.2\text{ mg/mL}) determines the exact fluid volume needed per hour.

Anahtar Kavram

Weight-based continuous intravenous medication calculations
Soru 67Soru →

A critically ill client weighing 154 lbs154\text{ lbs} is prescribed a continuous intravenous (IV) infusion of milrinone at 0.55 mcg/kg/min0.55\text{ mcg/kg/min} for the management of severe heart failure. The pharmacy supplies a premixed IV bag containing 20 mg20\text{ mg} of milrinone in 100 mL100\text{ mL} of 5%5\% dextrose in water (D5WD_5W). The client's current heart rate is 118 beats/min118\text{ beats/min} and blood pressure is 96/58 mmHg96/58\text{ mmHg}. What should the nurse set the infusion pump rate to in mL/hr\text{mL/hr}? Record your answer to the nearest tenth.

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Cevap: 11.6

Cevap

11.6
To determine the correct IV pump rate, a multi-step calculation is required. First, convert the weight to kilograms: 154 lbs÷2.2=70 kg154\text{ lbs} \div 2.2 = 70\text{ kg}. Next, find the minute dose: 70 kg×0.55 mcg/kg/min=38.5 mcg/min70\text{ kg} \times 0.55\text{ mcg/kg/min} = 38.5\text{ mcg/min}. Convert this to an hourly dose: 38.5 mcg/min×60 min/hr=2310 mcg/hr38.5\text{ mcg/min} \times 60\text{ min/hr} = 2310\text{ mcg/hr}. Then, determine the concentration of the IV bag: 20 mg20\text{ mg} is equal to 20,000 mcg20,000\text{ mcg}. Calculate the concentration: 20,000 mcg÷100 mL=200 mcg/mL20,000\text{ mcg} \div 100\text{ mL} = 200\text{ mcg/mL}. Finally, divide the required hourly dose by the concentration to find the volume: 2310 mcg/hr÷200 mcg/mL=11.55 mL/hr2310\text{ mcg/hr} \div 200\text{ mcg/mL} = 11.55\text{ mL/hr}. Rounding to the nearest tenth gives 11.6 mL/hr11.6\text{ mL/hr}.

Adım Adım Çözüm

1
Convert the client's weight from pounds to kilograms.
154 lbs÷2.2 lbs/kg=70 kg154\text{ lbs} \div 2.2\text{ lbs/kg} = 70\text{ kg}
The medication is prescribed in mcg/kg/min\text{mcg/kg/min}, requiring the weight to be in kilograms.
2
Calculate the required dose in mcg/min\text{mcg/min}.
70 kg×0.55 mcg/kg/min=38.5 mcg/min70\text{ kg} \times 0.55\text{ mcg/kg/min} = 38.5\text{ mcg/min}
This determines the exact amount of medication the client should receive each minute based on their body weight.
3
Convert the per-minute dose to an hourly dose.
38.5 mcg/min×60 min/hr=2310 mcg/hr38.5\text{ mcg/min} \times 60\text{ min/hr} = 2310\text{ mcg/hr}
Infusion pumps are programmed in hours (mL/hr\text{mL/hr}), so the hourly medication requirement must be calculated.
4
Determine the concentration of the supplied medication in mcg/mL\text{mcg/mL}.
20 mg=20,000 mcg20\text{ mg} = 20,000\text{ mcg}. Then, 20,000 mcg÷100 mL=200 mcg/mL20,000\text{ mcg} \div 100\text{ mL} = 200\text{ mcg/mL}.
The prescribed dose is in micrograms, but the supplied medication is in milligrams. Converting to a common unit allows for accurate volume calculation.
5
Calculate the infusion pump rate in mL/hr\text{mL/hr} and round to the nearest tenth.
2310 mcg/hr÷200 mcg/mL=11.55 mL/hr2310\text{ mcg/hr} \div 200\text{ mcg/mL} = 11.55\text{ mL/hr}. Rounded to the nearest tenth: 11.6 mL/hr11.6\text{ mL/hr}.
Dividing the required hourly dose by the concentration yields the exact fluid volume required per hour.

Anahtar Kavram

Weight-based continuous intravenous infusion dosage calculation
Soru 68Soru →

A postoperative client has an order for intravenous pantoprazole. The medication is prepared in a 100 mL100\text{ mL} bag of 0.9%0.9\% sodium chloride and needs to be infused over 15 minutes15\text{ minutes}. At what rate, in mL/hr\text{mL/hr}, will the nurse set the infusion pump?

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Cevap: 400

Cevap

The nurse should set the infusion pump to 400 mL/hr400\text{ mL/hr}.
To determine the correct IV pump setting in mL/hr\text{mL/hr}, the nurse must calculate the hourly rate of the infusion. Because the medication is ordered to infuse over a fraction of an hour (15 minutes15\text{ minutes} is 0.25 hours0.25\text{ hours}), dividing the total volume (100 mL100\text{ mL}) by the time in hours (0.25 hours0.25\text{ hours}) yields 400 mL/hr400\text{ mL/hr}. Alternatively, setting up a direct proportion (100 mL100\text{ mL} in 15 minutes15\text{ minutes} is equivalent to X mLX\text{ mL} in 60 minutes60\text{ minutes}) also results in 400 mL/hr400\text{ mL/hr}.

Adım Adım Çözüm

1
Identify the total volume of fluid to be infused.
100 mL100\text{ mL}
The infusion pump rate calculation requires the total volume of the medication bag.
2
Convert the infusion time from minutes to hours.
15 minutes÷60=0.25 hours15 \text{ minutes} \div 60 = 0.25\text{ hours}
Intravenous infusion pumps are programmed in mL/hr\text{mL/hr}, so the time must be standardized to hours.
3
Calculate the final infusion rate by dividing the volume by the time in hours.
100 mL÷0.25 hours=400 mL/hr100\text{ mL} \div 0.25\text{ hours} = 400\text{ mL/hr}
The formula for IV pump rate is Total Volume (mL) divided by Total Time (hr).

Anahtar Kavram

Calculating intravenous infusion pump rates for secondary medications
Tahmini Süre:1m 0s
Soru 69Soru →

A neonate born at 32 weeks gestation had a birth weight of 1800 g1800\text{ g}. On day 3 of life, the neonate's current weight is 1650 g1650\text{ g}. The healthcare provider prescribes a total daily fluid intake of 120 mL/kg/day120\text{ mL/kg/day} based on the neonate's current weight. The neonate is receiving the following therapies:

- Enteral formula feedings of 13 mL13\text{ mL} every 3 hours via orogastric tube.
- Intravenous (IV) ampicillin every 12 hours. Each antibiotic dose is diluted in 5 mL5\text{ mL} of normal saline.

The remaining fluid requirement will be administered as a continuous IV infusion of 10% dextrose in water (D10W). The antibiotic volume is included in the total daily fluid intake. What is the required infusion rate for the continuous D10W, in mL/hr\text{mL/hr}, to ensure the neonate receives exactly the prescribed total daily fluid intake? Record your answer using one decimal place.

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Cevap: 3.5

Cevap

The correct infusion rate is 3.5 mL/hr.
The correct rate of 3.5 mL/hr accurately accounts for the total daily fluid requirement based on the neonate's current weight, minus the fluids provided by enteral feedings and intermittent IV antibiotics.

Adım Adım Çözüm

1
Convert the current weight to kilograms.
1650 g = 1.65 kg.
The fluid prescription is weight-based in kg, and the current weight must be used as prescribed.
2
Calculate the total daily fluid requirement.
1.65 kg × 120 mL/kg/day = 198 mL/day.
Determines the absolute total volume the neonate must receive in 24 hours.
3
Calculate the total daily enteral intake.
24 hours / 3 hours = 8 feeds/day. 8 feeds × 13 mL = 104 mL/day.
Accounts for all fluid provided via the gastrointestinal tract.
4
Calculate the total daily IV antibiotic volume.
24 hours / 12 hours = 2 doses/day. 2 doses × 5 mL = 10 mL/day.
Accounts for intermittent IV fluid administration that contributes to the total intake.
5
Calculate the remaining fluid needed.
198 mL - 104 mL - 10 mL = 84 mL/day.
Determines the balance of fluid that must be supplied exclusively by the continuous D10W infusion.
6
Calculate the hourly continuous infusion rate.
84 mL / 24 hours = 3.5 mL/hr.
IV pumps are programmed in mL/hr.

Anahtar Kavram

Neonatal fluid management requires synthesizing multiple intake sources (enteral feedings, intermittent IV medications) and calculating continuous IV rates based on the current daily weight to prevent dangerous fluid overload or dehydration.
Soru 70Soru →

A nurse in the intensive care unit is caring for a client who weighs 187 lbs187\text{ lbs} and is receiving a continuous intravenous infusion of norepinephrine for septic shock. The medication is supplied as 4 mg4\text{ mg} of norepinephrine in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5WD_5W). The infusion is currently running at 17 mL/hr17\text{ mL/hr}.

The client's current vital signs include a heart rate of 112 bpm112\text{ bpm} and a blood pressure of 82/46 mmHg82/46\text{ mmHg} (mean arterial pressure [MAP] 58 mmHg58\text{ mmHg}).

The provider's prescribed titration parameters state: "Titrate norepinephrine infusion by 0.02 mcg/kg/min0.02\text{ mcg/kg/min} every 5 minutes to maintain a MAP ≥65 mmHg\geq 65\text{ mmHg}."

Based on the client's current MAP, the nurse performs one titration increase. What should the nurse set the new infusion pump rate to in mL/hr\text{mL/hr}? (Record answer to the nearest tenth.)

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Cevap: 23.4

Cevap

The new infusion pump rate should be set to 23.4 mL/hr.
The client's mean arterial pressure (MAP) is 58 mmHg58\text{ mmHg} ([82+2(46)]÷3[82 + 2(46)] \div 3), indicating the need to titrate the norepinephrine upward per the provider's parameters (MAP less than 65 mmHg65\text{ mmHg}). First, the weight is converted to 85 kg85\text{ kg} (187÷2.2187 \div 2.2). The ordered increase is 0.02 mcg/kg/min0.02\text{ mcg/kg/min}, which equals an additional 1.7 mcg/min1.7\text{ mcg/min} (0.02×850.02 \times 85) or 102 mcg/hr102\text{ mcg/hr} (1.7×601.7 \times 60). The concentration of the IV bag is 16 mcg/mL16\text{ mcg/mL} (4,000 mcg÷250 mL4,000\text{ mcg} \div 250\text{ mL}). The required increase in fluid volume is 6.375 mL/hr6.375\text{ mL/hr} (102÷16102 \div 16). Adding this to the baseline rate of 17 mL/hr17\text{ mL/hr} yields 23.375 mL/hr23.375\text{ mL/hr}. Rounding to the nearest tenth provides the final correct rate of 23.4 mL/hr23.4\text{ mL/hr}.

Adım Adım Çözüm

1
Assess the clinical situation to determine the necessary intervention.
The client's MAP is 58 mmHg58\text{ mmHg}, which is below the target of ≥65 mmHg\geq 65\text{ mmHg}. Therefore, a titration increase of 0.02 mcg/kg/min0.02\text{ mcg/kg/min} is required.
Vasopressor infusions must be titrated according to prescribed parameters based on objective hemodynamic data.
2
Convert the client's weight from pounds to kilograms.
187 lbs÷2.2 lbs/kg=85 kg187\text{ lbs} \div 2.2\text{ lbs/kg} = 85\text{ kg}.
Critical care medication dosing parameters are strictly weight-based in kilograms.
3
Calculate the concentration of the norepinephrine solution in mcg/mL\text{mcg/mL}.
4 mg=4,000 mcg4\text{ mg} = 4,000\text{ mcg}. Then, 4,000 mcg÷250 mL=16 mcg/mL4,000\text{ mcg} \div 250\text{ mL} = 16\text{ mcg/mL}.
You must know the concentration of the fluid in micrograms to calculate the volume needed.
4
Calculate the required titration dose increase per minute based on the client's weight.
0.02 mcg/kg/min×85 kg=1.7 mcg/min0.02\text{ mcg/kg/min} \times 85\text{ kg} = 1.7\text{ mcg/min}.
This establishes the exact additional amount of medication the client needs every minute.
5
Convert the per-minute dose increase to an hourly rate.
1.7 mcg/min×60 min/hr=102 mcg/hr1.7\text{ mcg/min} \times 60\text{ min/hr} = 102\text{ mcg/hr}.
IV pumps are programmed in mL/hr\text{mL/hr}, so the medication dose must be converted to an hourly metric.
6
Determine the volume of fluid per hour required to deliver the dose increase.
102 mcg/hr÷16 mcg/mL=6.375 mL/hr102\text{ mcg/hr} \div 16\text{ mcg/mL} = 6.375\text{ mL/hr}.
Dividing the hourly dose by the concentration yields the physical volume increase.
7
Calculate the new total infusion rate.
17 mL/hr+6.375 mL/hr=23.375 mL/hr17\text{ mL/hr} + 6.375\text{ mL/hr} = 23.375\text{ mL/hr}.
The calculated delta must be added to the baseline continuous rate to achieve the new prescribed dose.
8
Round the final calculated rate to the requested decimal place.
23.37523.375 rounds to 23.4 mL/hr23.4\text{ mL/hr}.
Standard rounding rules apply; because the hundredths digit is 7, round the tenths digit up.

Anahtar Kavram

Weight-based vasopressor titration and complex hemodynamic dose calculations
Soru 71Soru →

A nurse is preparing to administer a prescribed dose of cefepime 1 gram in 50 mL50\text{ mL} of 0.9%0.9\% sodium chloride intravenously over 30 minutes30\text{ minutes} to a client with a respiratory tract infection. At what rate in mL/hr\text{mL/hr} should the nurse set the intravenous infusion pump? Record your answer as a whole number.

Cevabı ve açıklamayı göster

Cevap: 100

Cevap

100
To determine the correct IV pump rate in mL/hr\text{mL/hr}, the nurse must calculate how many milliliters would infuse in 60 minutes based on the prescribed rate. By dividing the total volume (50 mL50\text{ mL}) by the time in hours (0.5 hours0.5\text{ hours}), the calculation is 50 mL0.5 hr=100 mL/hr\frac{50\text{ mL}}{0.5\text{ hr}} = 100\text{ mL/hr}. Alternatively, using the standard formula: 50 mL30 min×60 min/hr=100 mL/hr\frac{50\text{ mL}}{30\text{ min}} \times 60\text{ min/hr} = 100\text{ mL/hr}. Setting the pump to 100 mL/hr100\text{ mL/hr} ensures the entire 50 mL50\text{ mL} volume is delivered exactly in 30 minutes30\text{ minutes}.

Adım Adım Çözüm

1
Identify the total volume of the IV solution.
50 mL50\text{ mL}
The infusion pump rate calculation requires the total volume of fluid to be administered.
2
Identify the total prescribed infusion time.
30 minutes30\text{ minutes}
The prescription specifies the duration over which the medication must safely infuse.
3
Convert the infusion time from minutes to hours.
0.5 hours0.5\text{ hours} (since 30÷60=0.530 \div 60 = 0.5)
Intravenous infusion pumps are programmed in mL/hr\text{mL/hr}, requiring a time conversion if the order is written in minutes.
4
Calculate the final pump rate.
100 mL/hr100\text{ mL/hr}
Dividing the volume by the time in hours: 50 mL0.5 hr=100 mL/hr\frac{50\text{ mL}}{0.5\text{ hr}} = 100\text{ mL/hr}.

Anahtar Kavram

Calculating intravenous infusion pump rates in mL/hr for intermittent piggyback medications.
Tahmini Süre:45s
Soru 72Soru →

A client weighing 198 lb198\text{ lb} is receiving a continuous intravenous (IV) heparin infusion for the treatment of a deep vein thrombosis. The client's morning activated partial thromboplastin time (aPTT) is reported as 42 seconds42\text{ seconds}. According to the facility's weight-based heparin protocol, for this aPTT result, the nurse must administer an IV push bolus of 40 units/kg40\text{ units/kg} and increase the continuous infusion rate by 2 units/kg/hr2\text{ units/kg/hr}. The continuous IV infusion is currently running at 14 units/kg/hr14\text{ units/kg/hr}. The pharmacy provides a premixed heparin bag containing 25,000 units25,000\text{ units} in 250 mL250\text{ mL} of 0.9%0.9\% sodium chloride, and a separate heparin vial containing 1,000 units/mL1,000\text{ units/mL} for the bolus dose.

After administering the required bolus, at what rate in mL/hr\text{mL/hr} should the nurse set the IV pump for the new continuous infusion? (Record your answer to the nearest tenth.)

Cevabı ve açıklamayı göster

Cevap: 14.4

Cevap

14.4
To find the correct continuous infusion rate, the nurse must first convert the client's weight to kilograms (198÷2.2=90 kg198 \div 2.2 = 90\text{ kg}). Next, determine the new infusion rate by adding the 2 units/kg/hr2\text{ units/kg/hr} protocol increase to the current 14 units/kg/hr14\text{ units/kg/hr} rate, resulting in 16 units/kg/hr16\text{ units/kg/hr}. Multiply this rate by the client's weight to find the total hourly dose (16×90=1440 units/hr16 \times 90 = 1440\text{ units/hr}). Finally, calculate the required volume from the continuous infusion bag (which has a concentration of 100 units/mL100\text{ units/mL}) by dividing the hourly dose by the concentration (1440÷100=14.4 mL/hr1440 \div 100 = 14.4\text{ mL/hr}).

Adım Adım Çözüm

1
Convert the client's weight from pounds to kilograms.
90 kg90\text{ kg}
Medication dosing in the protocol is weight-based in kg (198÷2.2=90198 \div 2.2 = 90).
2
Determine the new prescribed continuous infusion rate.
16 units/kg/hr16\text{ units/kg/hr}
The protocol requires adding 2 units/kg/hr2\text{ units/kg/hr} to the current rate of 14 units/kg/hr14\text{ units/kg/hr}.
3
Calculate the total units per hour required.
1440 units/hr1440\text{ units/hr}
Multiply the new rate (16 units/kg/hr16\text{ units/kg/hr}) by the client's weight (90 kg90\text{ kg}).
4
Determine the concentration of the continuous heparin bag.
100 units/mL100\text{ units/mL}
Divide the total units in the bag (25,000 units25,000\text{ units}) by the total volume (250 mL250\text{ mL}).
5
Calculate the new IV pump rate in mL/hr.
14.4 mL/hr14.4\text{ mL/hr}
Divide the hourly unit requirement (1440 units/hr1440\text{ units/hr}) by the bag concentration (100 units/mL100\text{ units/mL}).

Anahtar Kavram

Weight-Based Intravenous Medication Titration
Soru 73Soru →

A registered nurse in the cardiovascular intensive care unit is caring for a client with severe decompensated heart failure.

Client data:
- Weight: 176 lb176\text{ lb}
- Current cardiac index (CI): 1.8 L/min/m21.8\text{ L/min/m}^2
- Current dobutamine infusion rate: 12 mL/hr12\text{ mL/hr}
- Intravenous fluid bag: Dobutamine 500 mg500\text{ mg} in 250 mL250\text{ mL} of 5% Dextrose in Water (D5W)5\%\text{ Dextrose in Water (D5W)}

The unit's hemodynamic titration protocol states: "If CI is <2.0 L/min/m2< 2.0\text{ L/min/m}^2, increase dobutamine infusion by 2.5 mcg/kg/min2.5\text{ mcg/kg/min} every 30 minutes until CI is ≥2.0 L/min/m2\geq 2.0\text{ L/min/m}^2. Maximum dose: 20 mcg/kg/min20\text{ mcg/kg/min}."

The nurse evaluates the client's current status and determines a titration is required. Based on the protocol, what should the nurse set the new infusion rate to in mL/hr\text{mL/hr}? Record your answer to the nearest whole number.

Cevabı ve açıklamayı göster

Cevap: 18

Cevap

18
The correct infusion rate is 18 mL/hr. This is determined by first converting the client's weight to kilograms (80 kg) and finding the medication concentration (2000 mcg/mL). The current dose is calculated by multiplying the rate (12 mL/hr) by the concentration and dividing by time and weight, yielding 5 mcg/kg/min. Based on the low cardiac index, the protocol requires a 2.5 mcg/kg/min increase, making the new target dose 7.5 mcg/kg/min. Multiplying this target dose by the client's weight (80 kg) and time (60 minutes) yields 36,000 mcg/hr. Dividing by the concentration (2000 mcg/mL) provides the final pump setting of 18 mL/hr.

Adım Adım Çözüm

1
Convert the client's weight from pounds to kilograms.
176 lb÷2.2 lb/kg=80 kg176\text{ lb} \div 2.2\text{ lb/kg} = 80\text{ kg}
Weight-based continuous medication infusions require the client's weight in kilograms for accurate dosing.
2
Calculate the concentration of the dobutamine solution in mcg/mL\text{mcg/mL}.
500 mg=500,000 mcg500\text{ mg} = 500,000\text{ mcg}; 500,000 mcg÷250 mL=2000 mcg/mL500,000\text{ mcg} \div 250\text{ mL} = 2000\text{ mcg/mL}
Establishing the concentration is necessary to convert between liquid volume (mL) and drug mass (mcg).
3
Calculate the current rate in mcg/min\text{mcg/min} to determine the current weight-based dose.
12 mL/hr×2000 mcg/mL=24,000 mcg/hr12\text{ mL/hr} \times 2000\text{ mcg/mL} = 24,000\text{ mcg/hr}; 24,000÷60=400 mcg/min24,000 \div 60 = 400\text{ mcg/min}
The protocol dictates titration based on the current dose in mcg/kg/min\text{mcg/kg/min}, requiring a reverse calculation from the current pump setting.
4
Divide the mcg/min\text{mcg/min} by the client's weight to find the current mcg/kg/min\text{mcg/kg/min}.
400 mcg/min÷80 kg=5 mcg/kg/min400\text{ mcg/min} \div 80\text{ kg} = 5\text{ mcg/kg/min}
This confirms the baseline dose before applying the hemodynamic titration protocol.
5
Determine the new target dose based on the client's cardiac index.
CI is 1.81.8 (which is <2.0< 2.0), so add 2.5 mcg/kg/min2.5\text{ mcg/kg/min}; 5+2.5=7.5 mcg/kg/min5 + 2.5 = 7.5\text{ mcg/kg/min}
The protocol mandates a specific incremental dose increase to improve cardiac output when CI is below target.
6
Calculate the total new dose required in mcg/hr\text{mcg/hr}.
7.5 mcg/kg/min×80 kg=600 mcg/min7.5\text{ mcg/kg/min} \times 80\text{ kg} = 600\text{ mcg/min}; 600×60=36,000 mcg/hr600 \times 60 = 36,000\text{ mcg/hr}
Pump rates are set in mL/hr\text{mL/hr}, so the target dose must be converted to an hourly amount.
7
Divide the hourly dose by the concentration to find the new rate in mL/hr\text{mL/hr}.
36,000 mcg/hr÷2000 mcg/mL=18 mL/hr36,000\text{ mcg/hr} \div 2000\text{ mcg/mL} = 18\text{ mL/hr}
This yields the final volume per hour to program into the intravenous infusion pump.

Anahtar Kavram

Titrating weight-based vasoactive infusions requires calculating the baseline dose from the existing rate, applying clinical parameters to determine the new target dose, and calculating forward to find the final pump setting in mL/hr.
Soru 74Soru →

A gravid client at 3737 weeks gestation is admitted with severe preeclampsia and requires magnesium sulfate therapy to prevent eclampsia, along with oxytocin for labor induction. The healthcare provider's orders include:

- Strict total intravenous fluid restriction of 125 mL/hour125\text{ mL/hour}.
- Magnesium sulfate maintenance infusion at 2 grams/hour2\text{ grams/hour} (supplied as 20 grams20\text{ grams} in 500 mL500\text{ mL} of 0.9%0.9\% sodium chloride).
- Oxytocin continuous infusion at 12 milliunits/minute12\text{ milliunits/minute} (supplied as 30 units30\text{ units} in 500 mL500\text{ mL} of Lactated Ringer's).
- A primary intravenous line of Lactated Ringer's to run at a rate that maintains the exact total hourly fluid restriction.

What should the nurse set the infusion rate for the primary line of Lactated Ringer's to, in mL/hour\text{mL/hour}? Record your answer as a whole number.

Cevabı ve açıklamayı göster

Cevap: 63

Cevap

63 mL/hour
To determine the primary line rate, the nurse must calculate the hourly volume of all medication infusions and subtract this total from the maximum fluid restriction. The magnesium sulfate rate is 50 mL/hour and the oxytocin rate is 12 mL/hour, totaling 62 mL/hour. Subtracting 62 from the 125 mL/hour restriction yields 63 mL/hour for the primary maintenance line.

Adım Adım Çözüm

1
Calculate the magnesium sulfate infusion rate in mL/hour.
Concentration: 20 g/500 mL=1 g/25 mL20\text{ g} / 500\text{ mL} = 1\text{ g} / 25\text{ mL}. Dose: 2 g/hour×25 mL/g=50 mL/hour2\text{ g/hour} \times 25\text{ mL/g} = 50\text{ mL/hour}.
The infusion pump must be programmed in mL/hour to deliver the prescribed 2 grams per hour.
2
Convert the oxytocin concentration from units to milliunits.
30 units×1,000 milliunits/unit=30,000 milliunits30\text{ units} \times 1,000\text{ milliunits/unit} = 30,000\text{ milliunits}. Concentration: 30,000 milliunits/500 mL=60 milliunits/mL30,000\text{ milliunits} / 500\text{ mL} = 60\text{ milliunits/mL}.
Oxytocin dosing is ordered in milliunits, so the bag concentration must match the ordered unit of measure.
3
Calculate the oxytocin infusion rate in mL/hour.
Dose: 12 milliunits/minute×60 minutes/hour=720 milliunits/hour12\text{ milliunits/minute} \times 60\text{ minutes/hour} = 720\text{ milliunits/hour}. Rate: 720 milliunits/hour÷60 milliunits/mL=12 mL/hour720\text{ milliunits/hour} \div 60\text{ milliunits/mL} = 12\text{ mL/hour}.
Converting the per-minute dose to a per-hour dose allows calculation of the mL/hour pump setting.
4
Determine the total volume of continuous medication infusions per hour.
50 mL/hour (magnesium sulfate)+12 mL/hour (oxytocin)=62 mL/hour50\text{ mL/hour (magnesium sulfate)} + 12\text{ mL/hour (oxytocin)} = 62\text{ mL/hour}.
All intravenous fluids, including medications, count toward the strict fluid restriction in preeclampsia to prevent pulmonary edema.
5
Calculate the primary Lactated Ringer's infusion rate.
125 mL/hour (total restriction)−62 mL/hour (medications)=63 mL/hour125\text{ mL/hour (total restriction)} - 62\text{ mL/hour (medications)} = 63\text{ mL/hour}.
The primary line makes up the difference between the total fluid restriction and the required medication volumes.

Anahtar Kavram

Calculation of concurrent medication infusions and fluid restriction management in severe preeclampsia.
Soru 75Soru →

The healthcare provider prescribes a continuous intravenous infusion of sodium nitroprusside at a rate of 3 mcg/kg/min3 \text{ mcg/kg/min} for a client experiencing a hypertensive crisis. The client weighs 198 lbs198 \text{ lbs}. The medication is supplied as 50 mg50 \text{ mg} of sodium nitroprusside mixed in 250 mL250 \text{ mL} of 5% dextrose in water (D5W). What is the appropriate infusion rate in mL/hr\text{mL/hr}? (Record your answer as a whole number.)

Cevabı ve açıklamayı göster

Cevap: 81

Cevap

81
To safely program an electronic infusion pump for a continuous weight-based medication, a multi-step dimensional analysis is required. First, determine the client's weight in kilograms (198 lbs÷2.2=90 kg198 \text{ lbs} \div 2.2 = 90 \text{ kg}). Next, find the dose per minute (3 mcg×90 kg=270 mcg/min3 \text{ mcg} \times 90 \text{ kg} = 270 \text{ mcg/min}). Because infusion pumps run on hourly rates, multiply by 6060 to find the hourly dose (270 mcg/min×60 min/hr=16,200 mcg/hr270 \text{ mcg/min} \times 60 \text{ min/hr} = 16,200 \text{ mcg/hr}). Then, find the concentration of the IV bag by converting milligrams to micrograms (50 mg=50,000 mcg50 \text{ mg} = 50,000 \text{ mcg}) and dividing by the total volume (50,000 mcg÷250 mL=200 mcg/mL50,000 \text{ mcg} \div 250 \text{ mL} = 200 \text{ mcg/mL}). Finally, divide the hourly dose by the concentration (16,200 mcg/hr÷200 mcg/mL16,200 \text{ mcg/hr} \div 200 \text{ mcg/mL}) to arrive at 81 mL/hr81 \text{ mL/hr}.

Adım Adım Çözüm

1
Convert the client's weight from pounds to kilograms.
90 kg90 \text{ kg}
Intravenous medication protocols requiring weight-based dosing use the metric system.
2
Calculate the total dose per minute based on the client's weight.
270 mcg/min270 \text{ mcg/min}
This establishes the exact amount of medication the client needs every minute to achieve the prescribed 3 mcg/kg/min3 \text{ mcg/kg/min}.
3
Convert the minute dose to an hourly dose.
16,200 mcg/hr16,200 \text{ mcg/hr}
Electronic infusion pumps are programmed in milliliters per hour, requiring the medication dose to be converted into an hourly timeframe.
4
Determine the concentration of the supplied medication in mcg/mL.
200 mcg/mL200 \text{ mcg/mL}
Since the dose is in micrograms and the supply is in milligrams, converting 50 mg50 \text{ mg} to 50,000 mcg50,000 \text{ mcg} and dividing by the 250 mL250 \text{ mL} bag volume provides a compatible concentration metric.
5
Calculate the final infusion pump rate.
81 mL/hr81 \text{ mL/hr}
Dividing the hourly dose by the concentration determines the precise fluid volume needed each hour to deliver the medication.

Anahtar Kavram

Weight-Based Intravenous Continuous Infusion Calculation
Soru 76Soru →

A healthcare provider prescribes ceftriaxone 1 gram1 \text{ gram} in 50 mL50 \text{ mL} of 0.9%0.9\% sodium chloride to be infused intravenously over 30 minutes30 \text{ minutes}. The nurse will use an electronic infusion pump. At what rate, in mL/hr\text{mL/hr}, should the nurse set the infusion pump? Record your answer as a whole number.

Cevabı ve açıklamayı göster

Cevap: 100

Cevap

100
To determine the correct setting for an electronic infusion pump in mL/hr\text{mL/hr}, the nurse must first ensure the time is converted to hours. Thirty minutes is equal to 0.50.5 hours. Next, divide the total volume (50 mL50 \text{ mL}) by the time (0.50.5 hours) to find the correct rate of 100 mL/hr100 \text{ mL/hr}.

Adım Adım Çözüm

1
Convert the given infusion time from minutes to hours.
30 minutes=0.5 hours30 \text{ minutes} = 0.5 \text{ hours}
Infusion pumps are typically programmed in mL/hr, so the administration time must be expressed in hours.
2
Divide the total medication volume by the infusion time in hours to determine the hourly rate.
50 mL÷0.5 hours=100 mL/hr50 \text{ mL} \div 0.5 \text{ hours} = 100 \text{ mL/hr}
This calculation provides the necessary rate to deliver the full volume exactly within the prescribed time window.

Anahtar Kavram

Intravenous medication infusion rate calculation using an electronic pump
Soru 77Soru →

A nurse is preparing to administer a primary intravenous infusion of 1,0001,000 mL of 0.9%0.9\% sodium chloride over 88 hours. At what rate should the nurse program the electronic infusion pump in mL/hr? (Record your answer as a whole number.)

Cevabı ve açıklamayı göster

Cevap: 125

Cevap

125
To determine the correct infusion rate in mL/hr, divide the total volume to be infused (1,0001,000 mL) by the total time for the infusion (88 hours). Therefore, 1,000÷8=1251,000 \div 8 = 125 mL/hr.

Adım Adım Çözüm

1
Identify the total volume of fluid to be infused.
1,0001,000 mL
This value serves as the numerator in the rate calculation formula.
2
Identify the total time over which the fluid is prescribed to infuse.
88 hours
This value serves as the denominator in the rate calculation formula.
3
Divide the total volume by the total time.
1,000÷8=1251,000 \div 8 = 125 mL/hr
The standard formula for determining an infusion pump rate is Volume (mL) divided by Time (hours).

Anahtar Kavram

Intravenous Infusion Pump Rate Calculation
Soru 78Soru →

The healthcare provider prescribes a continuous intravenous (IV) infusion of sodium nitroprusside at 2 mcg/kg/min2 \text{ mcg/kg/min} for a client experiencing a hypertensive emergency. The client's documented weight is 78 kg78 \text{ kg}. The available medication is a 250 mL250 \text{ mL} bag of 5% dextrose in water5\% \text{ dextrose in water} containing 50 mg50 \text{ mg} of sodium nitroprusside. At what rate, in mL/hr\text{mL/hr}, should the nurse set the infusion pump? Record your answer rounded to the nearest whole number.

Cevabı ve açıklamayı göster

Cevap: 47

Cevap

47
To find the correct pump rate, perform a sequential dimensional analysis. First, calculate the total required dose per minute based on weight: 2 mcg/kg/min×78 kg=156 mcg/min2 \text{ mcg/kg/min} \times 78 \text{ kg} = 156 \text{ mcg/min}. Next, convert this to an hourly dose: 156 mcg/min×60 min/hr=9360 mcg/hr156 \text{ mcg/min} \times 60 \text{ min/hr} = 9360 \text{ mcg/hr}. Convert the dose to milligrams to match the supply: 9360 mcg/hr/1000 mcg/mg=9.36 mg/hr9360 \text{ mcg/hr} / 1000 \text{ mcg/mg} = 9.36 \text{ mg/hr}. The concentration of the supplied bag is 50 mg/250 mL=0.2 mg/mL50 \text{ mg} / 250 \text{ mL} = 0.2 \text{ mg/mL}. Finally, dividing the hourly dose by the concentration yields the rate: 9.36 mg/hr/0.2 mg/mL=46.8 mL/hr9.36 \text{ mg/hr} / 0.2 \text{ mg/mL} = 46.8 \text{ mL/hr}. Rounding 46.846.8 to the nearest whole number gives 4747.

Adım Adım Çözüm

1
Calculate the required dose in mcg/min\text{mcg/min}.
156 mcg/min156 \text{ mcg/min}
Multiply the prescribed dose (2 mcg/kg/min2 \text{ mcg/kg/min}) by the client's weight (78 kg78 \text{ kg}) to determine the total amount of medication needed per minute.
2
Convert the minute dose to an hourly dose.
9360 mcg/hr9360 \text{ mcg/hr}
Multiply 156 mcg/min156 \text{ mcg/min} by 60 minutes/hour60 \text{ minutes/hour} because infusion pumps are programmed in mL/hr\text{mL/hr}.
3
Convert the dose from micrograms (mcg\text{mcg}) to milligrams (mg\text{mg}).
9.36 mg/hr9.36 \text{ mg/hr}
Divide 9360 mcg/hr9360 \text{ mcg/hr} by 1000 mcg/mg1000 \text{ mcg/mg} to match the unit of the supplied medication.
4
Determine the concentration of the medication in the IV bag.
0.2 mg/mL0.2 \text{ mg/mL}
Divide the total milligrams (50 mg50 \text{ mg}) by the total volume (250 mL250 \text{ mL}) to establish how much medication is in each milliliter of fluid.
5
Calculate the final volume rate in mL/hr\text{mL/hr}.
46.8 mL/hr46.8 \text{ mL/hr}
Divide the required hourly dose (9.36 mg/hr9.36 \text{ mg/hr}) by the concentration (0.2 mg/mL0.2 \text{ mg/mL}) to determine the volume of fluid needed to deliver the correct dose.
6
Round the final answer.
4747
The question explicitly asks for the answer to be rounded to the nearest whole number.

Anahtar Kavram

Weight-based continuous intravenous medication dose calculation and pump rate programming.
Soru 79Soru →

A pediatric client with neuroblastoma is scheduled to receive a cyclophosphamide infusion. The client's height is 144 cm144 \text{ cm} and weight is 36 kg36 \text{ kg}. The provider prescribes cyclophosphamide 825 mg/m2825 \text{ mg/m}^2 IV to infuse continuously over 4 hours4 \text{ hours}. The Mosteller formula for calculating Body Surface Area (BSA) is provided: BSA (m2)=Height (cm)×Weight (kg)3600\text{BSA (m}^2) = \sqrt{\frac{\text{Height (cm)} \times \text{Weight (kg)}}{3600}}. The pharmacy dispenses reconstituted cyclophosphamide with a concentration of 20 mg/mL20 \text{ mg/mL}. The nurse must draw up the prescribed dose and inject it into a 150 mL150 \text{ mL} bag of 0.9%0.9\% sodium chloride for administration.

What should the nurse set the intravenous infusion pump rate to in mL/hr? (Round the final answer to the nearest tenth.)

Cevabı ve açıklamayı göster

Cevap: 49.9

Cevap

49.9
The correct infusion rate is determined by accurately calculating the body surface area (1.2 m^2), using it to find the total medication dose (990 mg), determining the medication volume based on concentration (49.5 mL), adding this medication volume to the base IV fluid volume to find the total volume (199.5 mL), and dividing by the total infusion time (4 hours). Finally, the unrounded rate of 49.875 mL/hr must be correctly rounded to the nearest tenth (49.9 mL/hr).

Adım Adım Çözüm

1
Calculate the Body Surface Area (BSA) using the Mosteller formula.
BSA = 1.2 m^2
The prescribed dose is based on body surface area, which must be accurately determined first using the client's height and weight.
2
Calculate the required total dose in milligrams.
990 mg
Multiplying the prescribed dose (825 mg/m^2) by the client's BSA (1.2 m^2) determines the absolute amount of medication needed.
3
Calculate the volume of medication to draw from the vial.
49.5 mL
Dividing the required dose (990 mg) by the vial concentration (20 mg/mL) yields the volume of reconstituted medication to administer.
4
Calculate the total volume of the infusion.
199.5 mL
The IV pump will infuse the entire contents of the bag, so the total volume must account for both the base IV fluid (150 mL) and the added medication (49.5 mL).
5
Calculate the final IV pump infusion rate and round to the nearest tenth.
49.9 mL/hr
Dividing the total infusion volume (199.5 mL) by the infusion time (4 hours) gives 49.875 mL/hr, which rounds to 49.9 mL/hr.

Anahtar Kavram

Safe parenteral therapy administration requires accurate multi-step calculation of Body Surface Area (BSA), appropriate conversion of dose to volume, and inclusion of the medication volume into the total diluent volume when programming continuous infusion pump rates.
Soru 80Soru →

A nurse is caring for a client with acute decompensated heart failure who weighs 198 lbs198 \text{ lbs}. The healthcare provider prescribes a continuous intravenous (IV) infusion of milrinone at 0.375 mcg/kg/min0.375 \text{ mcg/kg/min}. The pharmacy supplies milrinone as 20 mg20 \text{ mg} in 100 mL100 \text{ mL} of 5% Dextrose5\% \text{ Dextrose} in water (D5W). At what rate, in mL/hr\text{mL/hr}, should the nurse set the IV infusion pump? (Record answer to the nearest tenth.)

Cevabı ve açıklamayı göster

Cevap: 10.1

Cevap

10.1
To solve this problem, first convert the weight to kilograms (198÷2.2=90 kg198 \div 2.2 = 90 \text{ kg}). Next, find the per-minute dose (0.375 mcg×90 kg=33.75 mcg/min0.375 \text{ mcg} \times 90 \text{ kg} = 33.75 \text{ mcg/min}). Convert this to an hourly dose by multiplying by 60 (33.75×60=2025 mcg/hr33.75 \times 60 = 2025 \text{ mcg/hr}). Then, find the concentration of the supplied bag by converting mg to mcg (20 mg=20,000 mcg20 \text{ mg} = 20,000 \text{ mcg}) and dividing by the volume (20,000 mcg÷100 mL=200 mcg/mL20,000 \text{ mcg} \div 100 \text{ mL} = 200 \text{ mcg/mL}). Finally, divide the required hourly dose by the concentration (2025÷200=10.1252025 \div 200 = 10.125) and round to the nearest tenth (10.110.1).

Adım Adım Çözüm

1
Convert the client's weight from pounds (lbs) to kilograms (kg).
198 lbs÷2.2 lbs/kg=90 kg198 \text{ lbs} \div 2.2 \text{ lbs/kg} = 90 \text{ kg}
The medication is prescribed in a weight-based format using kilograms.
2
Calculate the prescribed dose per minute based on the client's weight in kilograms.
0.375 mcg/kg/min×90 kg=33.75 mcg/min0.375 \text{ mcg/kg/min} \times 90 \text{ kg} = 33.75 \text{ mcg/min}
This establishes the exact amount of medication the client needs to receive every minute.
3
Convert the dose per minute to the dose per hour.
33.75 mcg/min×60 min/hr=2025 mcg/hr33.75 \text{ mcg/min} \times 60 \text{ min/hr} = 2025 \text{ mcg/hr}
Infusion pumps are programmed in mL/hr, so the medication dose must reflect an hourly rate.
4
Convert the supplied milrinone dose from milligrams (mg) to micrograms (mcg).
20 mg×1000 mcg/mg=20,000 mcg20 \text{ mg} \times 1000 \text{ mcg/mg} = 20,000 \text{ mcg}
Standardizing units is required because the prescription is in micrograms but the supply is in milligrams.
5
Determine the concentration of the supplied medication in mcg/mL.
20,000 mcg÷100 mL=200 mcg/mL20,000 \text{ mcg} \div 100 \text{ mL} = 200 \text{ mcg/mL}
This shows how many micrograms of milrinone are contained in every 1 mL of the IV fluid.
6
Calculate the final infusion rate in mL/hr by dividing the hourly dose by the concentration.
2025 mcg/hr÷200 mcg/mL=10.125 mL/hr2025 \text{ mcg/hr} \div 200 \text{ mcg/mL} = 10.125 \text{ mL/hr}
This translates the required hourly medication dose into the fluid volume the pump must deliver.
7
Round the calculated infusion rate to the nearest tenth.
10.125 mL/hr10.125 \text{ mL/hr} rounds to 10.1 mL/hr10.1 \text{ mL/hr}
Adhering to the specific rounding instructions provided in the stem.

Anahtar Kavram

Weight-Based Continuous IV Infusion Dosage Calculations
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