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Question 1Question →

An order is written for liquid acetaminophen at 15 mg/kg15 \text{ mg/kg} per dose for a toddler who weighs 16 kg16 \text{ kg}. The medication bottle is labeled 160 mg/5 mL160 \text{ mg}/5 \text{ mL}. Calculate the total volume in mL\text{mL} that should be administered for a single dose. (Record your answer to one decimal place.)

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Answer: 7.5

Answer

7.5
The correct dose is found in two steps. First, find the total mg needed by multiplying the toddler's weight (16 kg16 \text{ kg}) by the prescribed amount (15 mg/kg15 \text{ mg/kg}), which equals 240 mg240 \text{ mg}. Second, use the concentration of the liquid medication to find the volume. Dividing the desired dose (240 mg240 \text{ mg}) by the on-hand dose (160 mg160 \text{ mg}) and multiplying by the volume (5 mL5 \text{ mL}) yields exactly 7.5 mL7.5 \text{ mL}.

Step-by-Step Solution

1
Calculate the total required dose in milligrams.
16 kg×15 mg/kg=240 mg16 \text{ kg} \times 15 \text{ mg/kg} = 240 \text{ mg}
The prescription is weight-based, meaning the patient's exact weight must be multiplied by the prescribed weight-based dosage.
2
Determine the required liquid volume using the supplied medication concentration.
(240 mg/160 mg)×5 mL=7.5 mL(240 \text{ mg} / 160 \text{ mg}) \times 5 \text{ mL} = 7.5 \text{ mL}
Using the standard formula (Desired Dose / Available Dose) × Available Volume, the calculated milligram requirement is converted into the volume to be administered.

Key Concept

Weight-based pediatric dosage calculation
Question 2Question →

A nurse is caring for a laboring client at 37 weeks gestation who has severe preeclampsia. The provider has prescribed a strict total fluid restriction of 125 mL/hr125\text{ mL/hr}, which includes all oral and intravenous (IV) intake.

The client is receiving a continuous IV infusion of magnesium sulfate at a rate of 2 g/hr2\text{ g/hr}. The magnesium sulfate is supplied as 40 g40\text{ g} in 1,000 mL1,000\text{ mL} of sterile water. The client also has a continuous IV infusion of oxytocin running at 15 mL/hr15\text{ mL/hr}. Over the past 4 hours, the client has consumed 4 oz4\text{ oz} of ice chips and 120 mL120\text{ mL} of water.

Assuming the oral intake is distributed evenly across the 4 hours, what is the maximum rate in mL/hr\text{mL/hr} at which the nurse should program the primary IV pump to deliver lactated Ringer's solution? (Record your answer as a whole number.)

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Answer: 15

Answer

15
Clients with severe preeclampsia are at high risk for pulmonary edema and require strict fluid restriction, typically limited to 125 mL/hr125\text{ mL/hr} from all sources. To calculate the remaining allowable fluid for the primary IV, the nurse must sum all current hourly intakes and subtract this from the 125 mL/hr125\text{ mL/hr} limit.

First, calculate the magnesium sulfate rate: 40 g40\text{ g} in 1,000 mL1,000\text{ mL} yields a concentration of 0.04 g/mL0.04\text{ g/mL}. The prescribed rate is 2 g/hr2\text{ g/hr}, which requires 50 mL/hr50\text{ mL/hr} (2÷0.042 \div 0.04).

Second, determine the hourly oral intake. The client consumed 4 oz4\text{ oz} of ice chips, which equals 120 mL120\text{ mL}. Because ice chips melt to half their volume, this counts as 60 mL60\text{ mL} of intake. Added to the 120 mL120\text{ mL} of water, the total oral intake is 180 mL180\text{ mL} over 4 hours, resulting in an average of 45 mL/hr45\text{ mL/hr}.

The total current intake is 50 mL/hr50\text{ mL/hr} (magnesium) + 15 mL/hr15\text{ mL/hr} (oxytocin) + 45 mL/hr45\text{ mL/hr} (oral fluids) = 110 mL/hr110\text{ mL/hr}.

Finally, subtract this from the restriction limit: 125 mL/hr−110 mL/hr=15 mL/hr125\text{ mL/hr} - 110\text{ mL/hr} = 15\text{ mL/hr}. The primary IV should be set at a maximum of 15 mL/hr15\text{ mL/hr}.

Step-by-Step Solution

1
Calculate the IV rate for the magnesium sulfate infusion.
50 mL/hr50\text{ mL/hr}
The concentration is 40 g40\text{ g} in 1,000 mL1,000\text{ mL} (or 0.04 g/mL0.04\text{ g/mL}). The prescribed dose is 2 g/hr2\text{ g/hr}. Therefore, 2 g/hr÷0.04 g/mL=50 mL/hr2\text{ g/hr} \div 0.04\text{ g/mL} = 50\text{ mL/hr}.
2
Calculate the total volume of oral intake over the 4-hour period.
180 mL180\text{ mL}
Standard conversion: 1 oz=30 mL1\text{ oz} = 30\text{ mL}. 4 oz4\text{ oz} of ice chips = 120 mL120\text{ mL}. Ice chips melt to half their volume, providing 60 mL60\text{ mL} of fluid. Adding the 120 mL120\text{ mL} of water gives a total of 180 mL180\text{ mL} (60 mL+120 mL60\text{ mL} + 120\text{ mL}).
3
Calculate the average hourly oral intake.
45 mL/hr45\text{ mL/hr}
The 180 mL180\text{ mL} of oral intake was consumed over 4 hours. 180 mL÷4 hr=45 mL/hr180\text{ mL} \div 4\text{ hr} = 45\text{ mL/hr}.
4
Calculate the total current hourly fluid intake.
110 mL/hr110\text{ mL/hr}
Add the rates of all current intake sources: 50 mL/hr50\text{ mL/hr} (magnesium) + 15 mL/hr15\text{ mL/hr} (oxytocin) + 45 mL/hr45\text{ mL/hr} (oral fluids) = 110 mL/hr110\text{ mL/hr}.
5
Determine the maximum rate for the primary IV lactated Ringer's.
15 mL/hr15\text{ mL/hr}
Subtract the current total intake from the strict restriction limit: 125 mL/hr−110 mL/hr=15 mL/hr125\text{ mL/hr} - 110\text{ mL/hr} = 15\text{ mL/hr}.

Key Concept

Fluid Volume Calculation and Restriction Management in Preeclampsia
Question 3Question →

A client diagnosed with a pulmonary embolism has a documented admission weight of 187 lbs. The healthcare provider orders a continuous intravenous (IV) heparin infusion at a dose of 18 units/kg/hr. The pharmacy dispenses an IV bag containing 25,000 units of heparin in 250 mL of 5% dextrose in water. Calculate the required infusion pump rate in mL/hr. (Round the answer to the nearest tenth.)

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Answer: 15.3

Answer

15.3
To safely administer a weight-based continuous intravenous infusion, the nurse must first establish the client's weight in kilograms (187 lbs÷2.2=85187 \text{ lbs} \div 2.2 = 85 kg). The weight is then multiplied by the ordered dose to find the hourly medication requirement (85 kg×18 units/kg/hr=1530 units/hr85 \text{ kg} \times 18 \text{ units/kg/hr} = 1530 \text{ units/hr}). Finally, the nurse determines the fluid volume needed to deliver this dose by dividing the hourly requirement by the concentration of the IV solution (25,000 units÷250 mL=100 units/mL25,000 \text{ units} \div 250 \text{ mL} = 100 \text{ units/mL}). Therefore, 1530 units/hr÷100 units/mL=15.3 mL/hr1530 \text{ units/hr} \div 100 \text{ units/mL} = 15.3 \text{ mL/hr}.

Step-by-Step Solution

1
Convert weight to kilograms.
85 kg
The prescribed dose is weight-based in kg, so the client's weight in lbs must be converted by dividing by 2.2.
2
Calculate the hourly heparin dose.
1530 units/hr
Multiplying the client's weight in kg by the prescribed hourly dose of 18 units/kg/hr provides the total required units per hour.
3
Calculate the volume rate of the infusion.
15.3 mL/hr
Dividing the required hourly dose (1530 units/hr) by the medication concentration (100 units/mL) yields the infusion pump rate in mL/hr.

Key Concept

Weight-Based Intravenous Medication Calculation

Alternative Method

Dimensional analysis can be used to set up the entire equation in one continuous step: 18 unitskg⋅hr×1 kg2.2 lbs×187 lbs×250 mL25,000 units=15.3 mL/hr\frac{18 \text{ units}}{\text{kg} \cdot \text{hr}} \times \frac{1 \text{ kg}}{2.2 \text{ lbs}} \times 187 \text{ lbs} \times \frac{250 \text{ mL}}{25,000 \text{ units}} = 15.3 \text{ mL/hr}.
Estimated Time:1m 30s
Question 4Question →

An adult weighing 176 lb176\text{ lb} requires vasopressor support for septic shock. The critical care provider prescribes a norepinephrine infusion to begin at 0.05 mcg/kg/min0.05\text{ mcg/kg/min}. The available IV bag contains 4 mg4\text{ mg} of norepinephrine mixed in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5W). At how many mL/hr\text{mL/hr} will the infusion pump run? Record your answer using a whole number.

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Answer: 15

Answer

15
To determine the correct IV pump rate for a weight-based continuous infusion, dimensional analysis or step-by-step conversion must be utilized. First, the client's weight is converted to kilograms (176÷2.2=80 kg176 \div 2.2 = 80\text{ kg}). The ordered dose (0.05 mcg/kg/min0.05\text{ mcg/kg/min}) is multiplied by the weight to find the per-minute dose (4 mcg/min4\text{ mcg/min}). Because IV pumps run in hours, this is multiplied by 6060 to find the hourly dose (240 mcg/hr240\text{ mcg/hr}). Next, the concentration of the IV bag is determined by converting the supply to micrograms (4 mg=4000 mcg4\text{ mg} = 4000\text{ mcg}) and dividing by the volume (4000 mcg÷250 mL=16 mcg/mL4000\text{ mcg} \div 250\text{ mL} = 16\text{ mcg/mL}). Finally, the required hourly dose is divided by the concentration (240÷16=15 mL/hr240 \div 16 = 15\text{ mL/hr}).

Step-by-Step Solution

1
Convert weight from pounds to kilograms by dividing by 2.2.
176 lb÷2.2 lb/kg=80 kg176\text{ lb} \div 2.2\text{ lb/kg} = 80\text{ kg}
Weight-based dosing formulas require the client's mass in kilograms.
2
Calculate the per-minute medication dose.
0.05 mcg/kg/min×80 kg=4 mcg/min0.05\text{ mcg/kg/min} \times 80\text{ kg} = 4\text{ mcg/min}
This establishes the exact amount of drug the patient must receive every minute.
3
Convert the per-minute dose to an hourly dose.
4 mcg/min×60 min/hr=240 mcg/hr4\text{ mcg/min} \times 60\text{ min/hr} = 240\text{ mcg/hr}
Infusion pumps are programmed in mL/hr, so the dose must be scaled to an hourly rate.
4
Standardize units by converting the total milligrams of norepinephrine to micrograms.
4 mg×1000 mcg/mg=4000 mcg4\text{ mg} \times 1000\text{ mcg/mg} = 4000\text{ mcg}
The prescribed dose is in micrograms, so the available supply must be converted to the same unit to calculate concentration.
5
Calculate the drug concentration per milliliter of IV fluid.
4000 mcg÷250 mL=16 mcg/mL4000\text{ mcg} \div 250\text{ mL} = 16\text{ mcg/mL}
This determines how much drug is delivered in every 1 mL of fluid.
6
Calculate the final infusion pump rate.
240 mcg/hr÷16 mcg/mL=15 mL/hr240\text{ mcg/hr} \div 16\text{ mcg/mL} = 15\text{ mL/hr}
Dividing the hourly dose by the concentration yields the required fluid volume per hour.

Key Concept

Weight-based continuous IV medication titration and dosage calculation.
Question 5Question →

A healthcare provider prescribes an intravenous piggyback (IVPB) infusion of cefazolin 1 gram in 50 mL50\text{ mL} of 0.9% sodium chloride to be administered over 30 minutes30\text{ minutes}. The nurse should set the intravenous infusion pump to deliver how many mL/hr\text{mL/hr}? Record your answer using a whole number.

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Answer: 100

Answer

100
To determine the correct infusion pump setting in mL/hr, divide the total volume to be infused (50 mL) by the total time in minutes (30 minutes), and then multiply by 60 to convert minutes to hours. (50 mL / 30 min) * 60 min/hr = 100 mL/hr.

Step-by-Step Solution

1
Identify the total volume of the medication to be infused.
Total volume = 50 mL.
The medication is diluted in a specific amount of fluid that needs to be delivered.
2
Identify the prescribed duration of the infusion.
Time = 30 minutes.
The infusion pump rate must be calculated based on the total time over which the medication should be administered.
3
Set up the equation to calculate the infusion pump rate in mL/hr.
Rate (mL/hr) = (50 mL / 30 minutes) * 60 minutes/1 hour.
Infusion pumps are programmed in mL/hr, so minutes must be converted to hours.
4
Perform the calculation.
100
Multiplying (50/30) by 60 yields exactly 100 mL/hr, which is a whole number.

Key Concept

Intravenous Infusion Pump Rate Calculation
Question 6Question →

During a routine assessment on the maternal-newborn unit, the registered nurse monitors a client who experienced an uncomplicated spontaneous vaginal birth earlier in the shift. To accurately evaluate for hemorrhage, the nurse implements quantitative blood loss (QBL) measurement protocols. The nurse collects the used chux pads and peripads and places them on a scale. The scale displays a total weight of 1,240 g1,240\text{ g}. The standard dry weight of these identical items is 315 g315\text{ g}.

Calculate the client's quantified blood loss in milliliters (mL\text{mL}).

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Answer: 925

Answer

925
Quantitative blood loss (QBL) provides an objective and accurate measurement of maternal bleeding compared to visual estimation. The process requires finding the net weight of the blood by subtracting the known dry weight of the collected items (315 g315\text{ g}) from the total weight of the blood-soaked items (1,240 g1,240\text{ g}), which results in 925 g925\text{ g}. Because 1 gram1\text{ gram} of blood weight is clinically equivalent to 1 milliliter1\text{ milliliter} of blood volume, 925 g925\text{ g} translates directly to 925 mL925\text{ mL} of blood loss.

Step-by-Step Solution

1
Determine the net weight of the blood by subtracting the dry weight of the materials from the total weighed amount.
1,240 g−315 g=925 g1,240\text{ g} - 315\text{ g} = 925\text{ g}
Subtracting the dry weight ensures that only the fluid volume is being calculated for blood loss.
2
Convert the net weight in grams to a volume measurement in milliliters.
925 g=925 mL925\text{ g} = 925\text{ mL}
In obstetrical clinical practice, the standard conversion for quantifying blood loss is 1 gram1\text{ gram} of weight equals exactly 1 milliliter1\text{ milliliter} of volume.

Key Concept

Quantitative Blood Loss (QBL) Measurement and Calculation
Question 7Question →

A nurse is caring for a client at 3131 weeks of gestation who is experiencing preterm labor. The healthcare provider prescribes a continuous intravenous infusion of magnesium sulfate at a rate of 3 g/hr3\text{ g/hr} for fetal neuroprotection. The pharmacy dispenses a premixed IV bag containing 20 g20\text{ g} of magnesium sulfate in 500 mL500\text{ mL} of sterile water. At what rate in mL/hr\text{mL/hr} should the nurse set the intravenous infusion pump? (Record your answer as a whole number.)

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Answer: 75

Answer

75
To determine the correct infusion rate, first find the concentration of the medication. Divide the total amount of the drug (20 g20\text{ g}) by the total volume of the IV fluid (500 mL500\text{ mL}) to get 0.04 g/mL0.04\text{ g/mL}. Next, divide the prescribed dose (3 g/hr3\text{ g/hr}) by the concentration to find the correct rate of 75 mL/hr75\text{ mL/hr}. Alternatively, dimensional analysis can be used: (500 mL/20 g)×(3 g/1 hr)=1500/20=75 mL/hr(500\text{ mL} / 20\text{ g}) \times (3\text{ g} / 1\text{ hr}) = 1500 / 20 = 75\text{ mL/hr}.

Step-by-Step Solution

1
Determine the concentration of the magnesium sulfate solution.
20 g/500 mL=0.04 g/mL20\text{ g} / 500\text{ mL} = 0.04\text{ g/mL}
Establishing the amount of medication per milliliter of IV fluid is required to calculate the correct fluid delivery rate.
2
Calculate the infusion rate in mL/hr\text{mL/hr}.
3 g/hr÷0.04 g/mL=75 mL/hr3\text{ g/hr} \div 0.04\text{ g/mL} = 75\text{ mL/hr}
Dividing the prescribed hourly dose by the concentration yields the volume of fluid that must be infused each hour.

Key Concept

Intravenous medication dosage calculation for continuous infusions during preterm labor.
Question 8Question →

A nurse is titrating a continuous intravenous infusion of sodium nitroprusside for a client experiencing a hypertensive emergency. 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 (D5WD_5W). The client's current infusion rate is set at 15 mL/hr15 \text{ mL/hr}. The healthcare provider prescribes an increase in the continuous infusion dose by 0.5 mcg/kg/min0.5 \text{ mcg/kg/min}. What is the new infusion pump setting in mL/hr\text{mL/hr}? (Record answer to the nearest tenth.)

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Answer: 28.5

Answer

28.5
The correct new infusion rate is determined by first calculating the requested dose increase based on the client's weight in kilograms. After determining the hourly microgram requirement, the nurse must convert that dose into a fluid volume using the concentration of the supplied medication. Finally, the calculated rate increase must be added to the current infusion rate to determine the new overall pump setting.

Step-by-Step Solution

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}
Weight-based dosing requires the client's weight in kilograms to ensure accuracy.
2
Determine the concentration of the sodium nitroprusside solution in mcg/mL\text{mcg/mL}.
50 mg=50,000 mcg50 \text{ mg} = 50,000 \text{ mcg}. 50,000 mcg÷250 mL=200 mcg/mL50,000 \text{ mcg} \div 250 \text{ mL} = 200 \text{ mcg/mL}
To convert the prescribed dose into a fluid volume, the concentration must be calculated in the same mass unit (micrograms) as the prescription.
3
Calculate the required dose increase in mcg/min\text{mcg/min} and then convert to mcg/hr\text{mcg/hr}.
0.5 mcg/kg/min×90 kg=45 mcg/min0.5 \text{ mcg/kg/min} \times 90 \text{ kg} = 45 \text{ mcg/min}. 45 mcg/min×60 min/hr=2,700 mcg/hr45 \text{ mcg/min} \times 60 \text{ min/hr} = 2,700 \text{ mcg/hr}
This calculation determines the total additional amount of active medication the client needs per hour.
4
Calculate the increase in the infusion rate in mL/hr\text{mL/hr}.
2,700 mcg/hr÷200 mcg/mL=13.5 mL/hr2,700 \text{ mcg/hr} \div 200 \text{ mcg/mL} = 13.5 \text{ mL/hr}
This step determines the additional fluid volume needed per hour to deliver the extra dose of medication.
5
Determine the new final infusion rate by adding the calculated volume increase to the current infusion rate.
15 mL/hr+13.5 mL/hr=28.5 mL/hr15 \text{ mL/hr} + 13.5 \text{ mL/hr} = 28.5 \text{ mL/hr}
The provider prescribed an increase to the ongoing continuous infusion, so the calculated volume must be added to the baseline rate.

Key Concept

Weight-based intravenous continuous infusion titration calculations
Question 9Question →

At exactly 5 minutes after birth, a transition nurse completes a physiological assessment on a newly delivered term infant. The nurse documents an apical heart rate of 96 beats per minute. The infant is exhibiting a weak, gasping cry. When the soles of the feet are gently flicked, the infant responds with a slight grimace but no active withdrawal. The infant's muscle tone reveals flaccid extremities. The skin color is centrally pink with noticeably blue hands and feet.

What is the infant's 5-minute Apgar score?

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Answer: 4

Answer

The infant's 5-minute Apgar score is 4.
The Apgar score is a standardized method of evaluating a newborn's transition to extrauterine life across five criteria (Appearance, Pulse, Grimace, Activity, Respiration), with each graded from 0 to 2. Based on the clinical data provided, the heart rate of 96 bpm earns 1 point, the weak cry earns 1 point, the grimace without withdrawal earns 1 point, the flaccid tone earns 0 points, and the acrocyanosis earns 1 point, resulting in a total score of 4 out of 10. This score indicates moderate distress requiring intervention.

Step-by-Step Solution

1
Evaluate the Pulse (Heart Rate)
1 point
An apical heart rate of 96 beats per minute falls below the 100 bpm threshold, which earns 1 point. (Absent is 0, >100 is 2).
2
Evaluate the Respiration (Respiratory Effort)
1 point
A weak, gasping cry indicates slow or irregular respiratory effort, which earns 1 point. (Absent is 0, vigorous cry is 2).
3
Evaluate the Grimace (Reflex Irritability)
1 point
A slight grimace in response to tactile stimulation (flicking the soles) without active withdrawal earns 1 point. (No response is 0, active cry/withdrawal is 2).
4
Evaluate the Activity (Muscle Tone)
0 points
Flaccid or limp extremities indicate an absence of muscle tone, earning 0 points. (Some flexion is 1, active motion is 2).
5
Evaluate the Appearance (Skin Color)
1 point
A centrally pink body with noticeably blue hands and feet is known as acrocyanosis, which earns 1 point. (Completely blue/pale is 0, completely pink is 2).
6
Calculate the total score
4
Summing the five assessment criteria: 1 (Pulse) + 1 (Respiration) + 1 (Grimace) + 0 (Activity) + 1 (Appearance) = 4.

Key Concept

Apgar Scoring System Assessment and Interpretation
Estimated Time:1m 30s
Question 10Question →

A mechanically ventilated client in the intensive care unit requires continuous sedation. The healthcare provider's order reads: dexmedetomidine 0.8 mcg/kg/hr0.8\text{ mcg/kg/hr} continuous IV infusion. The client weighs 154 lb154\text{ lb}. The pharmacy dispenses a pre-mixed solution containing 200 mcg200\text{ mcg} of dexmedetomidine in 50 mL50\text{ mL} of 0.9%0.9\% sodium chloride.

At what rate, in mL/hr\text{mL/hr}, should the infusion pump be programmed? Record your answer using a whole number.

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Answer: 14

Answer

14
To determine the correct infusion rate, first convert the client's weight to kilograms (154÷2.2=70 kg154 \div 2.2 = 70\text{ kg}). Next, calculate the prescribed hourly dose by multiplying the weight by the ordered rate (70×0.8=56 mcg/hr70 \times 0.8 = 56\text{ mcg/hr}). Then, find the concentration of the supplied IV bag by dividing the total micrograms by the total milliliters (200 mcg÷50 mL=4 mcg/mL200\text{ mcg} \div 50\text{ mL} = 4\text{ mcg/mL}). Finally, divide the required hourly dose by the concentration to find the pump rate (56÷4=14 mL/hr56 \div 4 = 14\text{ mL/hr}). Since 14 is already a whole number, no rounding is necessary.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
154 lb÷2.2 lb/kg=70 kg154\text{ lb} \div 2.2\text{ lb/kg} = 70\text{ kg}
The medication dosing is weight-based and requires the weight to be in kilograms.
2
Calculate the total required hourly dose of dexmedetomidine.
70 kg×0.8 mcg/kg/hr=56 mcg/hr70\text{ kg} \times 0.8\text{ mcg/kg/hr} = 56\text{ mcg/hr}
This establishes the exact amount of medication the client needs to receive every hour.
3
Determine the concentration of the supplied dexmedetomidine solution.
200 mcg÷50 mL=4 mcg/mL200\text{ mcg} \div 50\text{ mL} = 4\text{ mcg/mL}
Finding the concentration is necessary to convert the ordered dose in micrograms into a liquid volume in milliliters.
4
Calculate the final infusion rate.
56 mcg/hr÷4 mcg/mL=14 mL/hr56\text{ mcg/hr} \div 4\text{ mcg/mL} = 14\text{ mL/hr}
This determines the exact volumetric rate to program into the intravenous infusion pump.

Key Concept

Weight-based continuous IV infusion calculation
Question 11Question →

During a shift in the intensive care unit, the nurse assumes care for a patient in cardiogenic shock whose current weight is 80 kg80\text{ kg}. The patient has a central venous catheter infusing dobutamine at a rate of 24 mL/hr24\text{ mL/hr}. The IV bag is labeled as containing 500 mg500\text{ mg} of dobutamine mixed in 250 mL250\text{ mL} of normal saline. Following a hemodynamic assessment, the critical care prescriber instructs the nurse to increase the dobutamine dosage by 2.5 mcg/kg/min2.5\text{ mcg/kg/min}. Calculate the new rate at which the nurse should program the infusion pump. Record your answer in mL/hr\text{mL/hr} as a whole number.

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Answer: 30

Answer

30
To find the new infusion rate, first determine the concentration of the medication: 500 mg500\text{ mg} in 250 mL250\text{ mL} is equivalent to 2 mg/mL2\text{ mg/mL} or 2000 mcg/mL2000\text{ mcg/mL}. The provider ordered an increase of 2.5 mcg/kg/min2.5\text{ mcg/kg/min}. For an 80 kg80\text{ kg} patient, this amounts to an additional 200 mcg/min200\text{ mcg/min} (2.5×802.5 \times 80), which converts to an extra 12,000 mcg/hr12,000\text{ mcg/hr} (200×60200 \times 60). By dividing this hourly dose increase by the concentration (12,000÷200012,000 \div 2000), you find the pump needs to deliver an additional 6 mL/hr6\text{ mL/hr}. Adding this to the baseline rate of 24 mL/hr24\text{ mL/hr} yields the new programmed setting of 30 mL/hr30\text{ mL/hr}.

Step-by-Step Solution

1
Convert the total medication mass from milligrams to micrograms and calculate the concentration per mL.
500 mg×1000 mcg/mg=500,000 mcg500\text{ mg} \times 1000\text{ mcg/mg} = 500,000\text{ mcg}. Then, 500,000 mcg÷250 mL=2000 mcg/mL500,000\text{ mcg} \div 250\text{ mL} = 2000\text{ mcg/mL}.
Standardizing the concentration unit to micrograms is necessary because the ordered dosage change is measured in micrograms.
2
Calculate the total microgram increase required per minute based on the patient's weight.
2.5 mcg/kg/min×80 kg=200 mcg/min2.5\text{ mcg/kg/min} \times 80\text{ kg} = 200\text{ mcg/min}.
Weight-based dosing must be multiplied by the patient's actual weight in kilograms to determine the total required dose per minute.
3
Convert the microgram increase per minute to a microgram increase per hour.
200 mcg/min×60 min/hr=12,000 mcg/hr200\text{ mcg/min} \times 60\text{ min/hr} = 12,000\text{ mcg/hr}.
Intravenous infusion pumps are programmed in hours, so the rate per minute must be multiplied by 60 minutes.
4
Determine the additional fluid volume per hour needed for the increase, and add it to the current baseline rate.
12,000 mcg/hr÷2000 mcg/mL=6 mL/hr12,000\text{ mcg/hr} \div 2000\text{ mcg/mL} = 6\text{ mL/hr} increase. New rate: 24 mL/hr+6 mL/hr=30 mL/hr24\text{ mL/hr} + 6\text{ mL/hr} = 30\text{ mL/hr}.
Adding the calculated additional volume rate to the baseline rate yields the final programmed setting on the infusion pump.

Key Concept

Weight-Based Intravenous Medication Titration
Question 12Question →

A critical care nurse is managing a client with symptomatic bradycardia who is unresponsive to standard atropine therapy. The client weighs 187 lbs187\text{ lbs}. The healthcare provider prescribes a continuous IV infusion of dopamine at 4 mcg/kg/min4\text{ mcg/kg/min}. The pharmacy supplies a premixed bag containing 250 mg250\text{ mg} of dopamine in 500 mL500\text{ mL} of 5%5\% dextrose in water (D5W). What is the correct infusion pump setting in mL/hr\text{mL/hr}? Record your answer using one decimal place.

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Answer: 40.8

Answer

40.8
To find the correct pump setting in mL/hr, you must first convert the client's weight to kilograms (187 / 2.2 = 85 kg), multiply by the prescribed mcg/kg/min dosage to find the total mcg/min (85 * 4 = 340 mcg/min), and multiply by 60 to find the total mcg/hr (20,400 mcg/hr). Finally, divide this hourly requirement by the solution's concentration (500 mcg/mL) to get 40.8 mL/hr.

Step-by-Step Solution

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 dopamine dosage is prescribed based on the client's weight in kilograms.
2
Calculate the required medication dose per minute.
85 kg×4 mcg/kg/min=340 mcg/min85\text{ kg} \times 4\text{ mcg/kg/min} = 340\text{ mcg/min}
This establishes the total amount of dopamine the client must receive each minute.
3
Convert the per-minute dose to an hourly dose.
340 mcg/min×60 min/hr=20,400 mcg/hr340\text{ mcg/min} \times 60\text{ min/hr} = 20,400\text{ mcg/hr}
Infusion pumps are programmed to deliver volume on an hourly basis (mL/hr).
4
Determine the concentration of the dopamine solution in mcg/mL.
250 mg=250,000 mcg250\text{ mg} = 250,000\text{ mcg}; 250,000 mcg÷500 mL=500 mcg/mL250,000\text{ mcg} \div 500\text{ mL} = 500\text{ mcg/mL}
Converting milligrams to micrograms matches the prescribed dose unit, allowing calculation of the exact fluid volume per mL.
5
Calculate the final infusion pump rate.
20,400 mcg/hr÷500 mcg/mL=40.8 mL/hr20,400\text{ mcg/hr} \div 500\text{ mcg/mL} = 40.8\text{ mL/hr}
Dividing the total hourly medication requirement by the concentration yields the fluid volume needed per hour.

Key Concept

Weight-based continuous IV infusion calculation
Question 13Question →

A nurse is caring for a mechanically ventilated client who requires continuous sedation. The healthcare provider prescribes a propofol infusion at 20 mcg/kg/min20 \text{ mcg/kg/min}. The client weighs 176 lbs176 \text{ lbs}. The medication is supplied as 10 mg/mL10 \text{ mg/mL}. At what rate in mL/hr\text{mL/hr} should the nurse set the intravenous pump? (Record your answer to the nearest tenth.)

Show answer & explanation

Answer: 9.6

Answer

9.6
To determine the correct rate, the nurse must execute a sequential calculation: convert weight to kilograms (80 kg80 \text{ kg}), find the dose per minute (1,600 mcg/min1,600 \text{ mcg/min}), convert to the dose per hour (96,000 mcg/hr96,000 \text{ mcg/hr}), translate micrograms to milligrams (96 mg/hr96 \text{ mg/hr}), and finally divide by the concentration (10 mg/mL10 \text{ mg/mL}) to arrive at the correct pump rate of 9.6 mL/hr9.6 \text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
176 lbs÷2.2 lbs/kg=80 kg176 \text{ lbs} \div 2.2 \text{ lbs/kg} = 80 \text{ kg}
The prescription is weight-based, requiring the client's mass in kilograms.
2
Calculate the total required dose per minute.
20 mcg/kg/min×80 kg=1600 mcg/min20 \text{ mcg/kg/min} \times 80 \text{ kg} = 1600 \text{ mcg/min}
Multiplying the ordered dose by the client's weight determines the specific dose needed each minute.
3
Convert the dose per minute to the dose per hour.
1600 mcg/min×60 min/hr=96,000 mcg/hr1600 \text{ mcg/min} \times 60 \text{ min/hr} = 96,000 \text{ mcg/hr}
Intravenous pumps run in hourly rates (mL/hr), so the minute-based dose must be converted to an hourly dose.
4
Convert the hourly dose from micrograms to milligrams.
96,000 mcg/hr÷1000 mcg/mg=96 mg/hr96,000 \text{ mcg/hr} \div 1000 \text{ mcg/mg} = 96 \text{ mg/hr}
The supplied medication concentration is provided in milligrams, meaning the desired dose must match this unit.
5
Calculate the final infusion rate in mL/hr.
96 mg/hr÷10 mg/mL=9.6 mL/hr96 \text{ mg/hr} \div 10 \text{ mg/mL} = 9.6 \text{ mL/hr}
Dividing the desired hourly dose by the available concentration yields the volumetric rate to program into the IV pump.

Key Concept

Weight-based Intravenous Continuous Infusion Calculations
Question 14Question →

An intensive care nurse is configuring an infusion pump for a client requiring deep sedation. The new medication order specifies remifentanil to run at 0.05 mcg/kg/min0.05\text{ mcg/kg/min}. The client's admission weight is 230 lb230\text{ lb}. The available medication on the unit is a pre-mixed bag containing 2 mg2\text{ mg} of remifentanil dissolved in 250 mL250\text{ mL} of normal saline (0.9% NaCl0.9\%\text{ NaCl}). Calculate the required pump setting in mL/hr\text{mL/hr}. (First, convert and round the client's weight to the nearest tenth of a kilogram. Then, perform your calculations and round the final answer to the nearest tenth.)

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Answer: 39.2

Answer

The nurse should set the infusion pump to 39.2 mL/hr.
To find the correct infusion rate, the nurse must first convert the client's weight to kilograms (230 lb÷2.2=104.5 kg230\text{ lb} \div 2.2 = 104.5\text{ kg}). The weight is then multiplied by the prescribed dose to find the per-minute requirement (104.5 kg×0.05 mcg/kg/min=5.225 mcg/min104.5\text{ kg} \times 0.05\text{ mcg/kg/min} = 5.225\text{ mcg/min}). Because the pump runs in hours, this is multiplied by 60 minutes60\text{ minutes} (313.5 mcg/hr313.5\text{ mcg/hr}). Next, the concentration of the IV bag is determined by converting milligrams to micrograms (2 mg=2,000 mcg2\text{ mg} = 2,000\text{ mcg}) and dividing by the total volume (2,000 mcg÷250 mL=8 mcg/mL2,000\text{ mcg} \div 250\text{ mL} = 8\text{ mcg/mL}). Finally, the hourly dose is divided by the concentration (313.5÷8=39.1875313.5 \div 8 = 39.1875) and rounded to the nearest tenth, resulting in 39.2 mL/hr39.2\text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds (lb) to kilograms (kg) and round to the nearest tenth.
230 lb÷2.2 lb/kg=104.545...≈104.5 kg230\text{ lb} \div 2.2\text{ lb/kg} = 104.545... \approx 104.5\text{ kg}
Critical care medication dosing is standardized using metric weights.
2
Calculate the total dose required per minute based on the client's weight.
104.5 kg×0.05 mcg/kg/min=5.225 mcg/min104.5\text{ kg} \times 0.05\text{ mcg/kg/min} = 5.225\text{ mcg/min}
The prescription dictates how many micrograms the client needs for each kilogram of body weight every minute.
3
Convert the per-minute dose to an hourly dose.
5.225 mcg/min×60 min/hr=313.5 mcg/hr5.225\text{ mcg/min} \times 60\text{ min/hr} = 313.5\text{ mcg/hr}
Intravenous infusion pumps are programmed in volume per hour (mL/hr), so the time unit must match.
4
Convert the total drug amount in the IV bag from milligrams (mg) to micrograms (mcg).
2 mg×1,000 mcg/mg=2,000 mcg2\text{ mg} \times 1,000\text{ mcg/mg} = 2,000\text{ mcg}
The calculated dose is in micrograms, so the available medication supply must be converted to matching units.
5
Determine the concentration of the IV solution.
2,000 mcg÷250 mL=8 mcg/mL2,000\text{ mcg} \div 250\text{ mL} = 8\text{ mcg/mL}
Knowing how many micrograms are in a single milliliter allows you to calculate the total fluid volume needed to deliver the hourly dose.
6
Calculate the final infusion pump rate.
313.5 mcg/hr÷8 mcg/mL=39.1875 mL/hr313.5\text{ mcg/hr} \div 8\text{ mcg/mL} = 39.1875\text{ mL/hr}
Dividing the total hourly medication requirement by the concentration yields the fluid rate in mL/hr.
7
Round the final rate to the nearest tenth.
39.1875 mL/hr≈39.2 mL/hr39.1875\text{ mL/hr} \approx 39.2\text{ mL/hr}
The problem explicitly requires the final answer to be rounded to the nearest tenth.

Key Concept

Calculating complex weight-based continuous intravenous infusion rates requiring sequential conversions (lbs to kg, minutes to hours, and mg to mcg).
Question 15Question →

A healthcare provider prescribes an intermittent intravenous vancomycin infusion of 15 mg/kg15\text{ mg/kg} for a client with a severe bacterial infection. The client weighs 154 lb154\text{ lb}. To prevent red man syndrome, institutional guidelines require vancomycin to be administered at a maximum rate of 10 mg/min10\text{ mg/min}. Calculate the minimum safe infusion time in minutes for this dose. Record your answer as a whole number.

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Answer: 105

Answer

105
To find the minimum safe infusion time, first convert the weight to kilograms (154 lb÷2.2=70 kg154\text{ lb} \div 2.2 = 70\text{ kg}). Next, calculate the total dose by multiplying the weight by the prescribed dosage (70 kg×15 mg/kg=1050 mg70\text{ kg} \times 15\text{ mg/kg} = 1050\text{ mg}). Finally, divide the total dose by the maximum safe infusion rate (1050 mg÷10 mg/min1050\text{ mg} \div 10\text{ mg/min}) to yield 105 minutes105\text{ minutes}. This ensures the medication is administered slowly enough to prevent infusion-related reactions.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
154 lb÷2.2=70 kg154\text{ lb} \div 2.2 = 70\text{ kg}
The vancomycin order is weight-based, and standard medical calculations require weight in kilograms.
2
Calculate the total prescribed dose of vancomycin.
70 kg×15 mg/kg=1050 mg70\text{ kg} \times 15\text{ mg/kg} = 1050\text{ mg}
The total dosage in milligrams must be determined before the administration time can be calculated.
3
Determine the minimum safe infusion time.
1050 mg÷10 mg/min=105 minutes1050\text{ mg} \div 10\text{ mg/min} = 105\text{ minutes}
Dividing the total dose by the maximum allowable rate per minute yields the minimum time required to safely infuse the medication.

Key Concept

Calculating safe intravenous administration rates for weight-based medication dosages.
Question 16Question →

A patient admitted with a hypertensive emergency requires a continuous intravenous infusion of nitroglycerin. The provider orders a rate of 25 \mug/min25 \text{ \mu g/min}. The pharmacy delivers a standard premixed glass bottle containing 50 mg50 \text{ mg} of nitroglycerin in 250 mL250 \text{ mL} of 0.9% sodium chloride0.9\% \text{ sodium chloride}.

Calculate the correct electronic infusion pump setting in mL/hr\text{mL/hr}. (Record your answer rounding to the nearest tenth.)

Show answer & explanation

Answer: 7.5

Answer

The infusion pump should be set to deliver 7.5 mL/hr7.5 \text{ mL/hr}.
To find the correct infusion rate, the nurse must ensure all units of measurement align. First, convert the prescribed per-minute dose to an hourly rate: 25 \mug/min×60 min/hr=1500 \mug/hr25 \text{ \mu g/min} \times 60 \text{ min/hr} = 1500 \text{ \mu g/hr}. Next, determine the concentration of the available IV bag. Convert the 50 mg50 \text{ mg} of nitroglycerin to micrograms (50 mg×1000=50,000 \mug50 \text{ mg} \times 1000 = 50,000 \text{ \mu g}) and divide by the total volume of 250 mL250 \text{ mL}, which equals 200 \mug/mL200 \text{ \mu g/mL}. Finally, divide the required hourly dose by the concentration: 1500 \mug/hr÷200 \mug/mL=7.5 mL/hr1500 \text{ \mu g/hr} \div 200 \text{ \mu g/mL} = 7.5 \text{ mL/hr}.

Step-by-Step Solution

1
Calculate the total dose required per hour.
1500 \mug/hr1500 \text{ \mu g/hr}
The prescribed rate is per minute, but the infusion pump requires an hourly rate.
2
Convert the total amount of medication in the IV bottle to micrograms.
50,000 \mug50,000 \text{ \mu g}
To ensure units match the prescribed dose before determining the concentration.
3
Determine the concentration of the medication in the IV fluid.
200 \mug/mL200 \text{ \mu g/mL}
This establishes how much medication is contained in each milliliter of the solution.
4
Calculate the final infusion rate in mL/hr.
7.5 mL/hr7.5 \text{ mL/hr}
Dividing the hourly dose by the concentration yields the volume required per hour.

Key Concept

Intravenous medication dosage calculation requiring unit conversions
Question 17Question →

A client who weighs 165 lb165\text{ lb} is experiencing prolonged seizure activity. The healthcare provider prescribes an intravenous (IV) loading dose of phenytoin at 15 mg/kg15\text{ mg/kg}. To prevent severe hypotension and cardiac dysrhythmias, institutional policy dictates that IV phenytoin must not be administered faster than 50 mg/min50\text{ mg/min}.

What is the minimum time, in minutes, required to safely infuse this loading dose? Record your answer using one decimal place.

Show answer & explanation

Answer: 22.5

Answer

22.5
The calculation requires a sequential three-step dimensional analysis: first converting the patient's weight to kilograms (165÷2.2=75 kg165 \div 2.2 = 75\text{ kg}), then calculating the total dose required (75×15=1125 mg75 \times 15 = 1125\text{ mg}), and finally determining the time required to administer that dose at the maximum safe rate (1125÷50=22.5 minutes1125 \div 50 = 22.5\text{ minutes}). Administering the medication any faster would risk severe hypotension and arrhythmias.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
165 lb÷2.2 lb/kg=75 kg165\text{ lb} \div 2.2\text{ lb/kg} = 75\text{ kg}
The prescribed dose is weight-based in kilograms, so an accurate conversion is required first.
2
Calculate the total prescribed loading dose in milligrams.
75 kg×15 mg/kg=1125 mg75\text{ kg} \times 15\text{ mg/kg} = 1125\text{ mg}
The total amount of medication must be known to determine how long the infusion will take.
3
Calculate the minimum infusion time based on the maximum safe rate of 50 mg/min50\text{ mg/min}.
1125 mg÷50 mg/min=22.5 minutes1125\text{ mg} \div 50\text{ mg/min} = 22.5\text{ minutes}
Phenytoin administration must not exceed 50 mg/min50\text{ mg/min} to prevent cardiovascular toxicity. Dividing the total dose by the maximum rate provides the shortest allowable infusion time.

Key Concept

Safe administration of intravenous phenytoin requires accurate weight-based dosing and strict adherence to maximum infusion rates to prevent life-threatening cardiovascular side effects.
Question 18Question →

A client admitted with cardiogenic shock requires hemodynamic support. The healthcare provider orders a continuous intravenous infusion of dobutamine at a rate of 5 mcg/kg/min5\text{ mcg/kg/min}. The client's current weight is 82 kg82\text{ kg}. The pharmacy dispenses a premixed bag containing 500 mg500\text{ mg} of dobutamine in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5WD_5W).

At what rate, in mL/hr\text{mL/hr}, should the nurse program the infusion pump? Record your answer as a number with one decimal place.

Show answer & explanation

Answer: 12.3

Answer

12.3
The correct infusion rate is calculated by determining the total weight-based dose per minute, converting it to an hourly dose, aligning the units with the supplied medication, and dividing by the concentration of the IV bag. This sequential mathematical process accurately results in an infusion pump setting of 12.3 mL/hr.

Step-by-Step Solution

1
Determine the total dose of dobutamine required per minute.
82 kg×5 mcg/kg/min=410 mcg/min82\text{ kg} \times 5\text{ mcg/kg/min} = 410\text{ mcg/min}
The prescribed dose is weight-based, so the client's total weight in kilograms must be multiplied by the ordered rate.
2
Convert the per-minute dose to an hourly dose.
410 mcg/min×60 min/hr=24,600 mcg/hr410\text{ mcg/min} \times 60\text{ min/hr} = 24,600\text{ mcg/hr}
Intravenous infusion pumps are programmed in milliliters per hour, requiring the medication dose to be calculated over a 60-minute period.
3
Convert the hourly dose from micrograms (mcg) to milligrams (mg).
24,600 mcg÷1000 mcg/mg=24.6 mg/hr24,600\text{ mcg} \div 1000\text{ mcg/mg} = 24.6\text{ mg/hr}
The supplied medication is measured in milligrams, so the requested dose must be converted to align with the available supply.
4
Determine the concentration of the supplied dobutamine.
500 mg÷250 mL=2 mg/mL500\text{ mg} \div 250\text{ mL} = 2\text{ mg/mL}
Calculating the milligrams of medication per single milliliter of fluid simplifies the final volume calculation.
5
Calculate the required infusion pump rate.
24.6 mg/hr÷2 mg/mL=12.3 mL/hr24.6\text{ mg/hr} \div 2\text{ mg/mL} = 12.3\text{ mL/hr}
Dividing the required hourly dose by the concentration of the IV solution yields the final volume to infuse per hour.

Key Concept

Weight-Based Intravenous Dosing and Pump Rate Calculation
Question 19Question →

A client with new-onset atrial fibrillation is prescribed a continuous intravenous (IV) infusion of amiodarone at a rate of 11 mg/min. The pharmacy dispenses an IV bag containing 900900 mg of amiodarone in 500500 mL of 5%5\% dextrose in water (D5WD_5W). At what rate, in mL/hr, should the nurse program the IV infusion pump? (Record your answer to the nearest tenth).

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Answer: 33.3

Answer

33.3
To determine the correct IV pump setting, the nurse must first convert the 11 mg/min prescription to an hourly dose (6060 mg/hr). Then, by dividing the desired hourly dose by the total amount of medication in the bag (900900 mg) and multiplying by the total volume (500500 mL), the nurse calculates the required flow rate of 33.333...33.333... mL/hr. Rounding to the nearest tenth gives the final programmed rate of 33.333.3 mL/hr.

Step-by-Step Solution

1
Convert the prescribed dose from per minute to per hour.
6060 mg/hr
IV infusion pumps are programmed to deliver fluids in mL/hr, so the prescribed medication dose must first be standardized to an hourly rate.
2
Calculate the required volume to deliver the hourly dose based on the supplied concentration.
33.333...33.333... mL/hr
Using the desired over have formula multiplied by volume: (Desired Dose / Have) x Volume. So, (60/900)×500=33.333...(60 / 900) \times 500 = 33.333...
3
Round the final calculated rate to the nearest tenth.
33.333.3 mL/hr
The question explicitly specifies to record the final answer rounded to the nearest tenth.

Key Concept

Intravenous medication dosage calculation and infusion pump programming
Estimated Time:1m 30s
Question 20Question →

A client with a newly diagnosed deep vein thrombosis is admitted to the medical-surgical unit. The client weighs 85 kg85\text{ kg}. The healthcare provider initiates a weight-based heparin protocol, prescribing a continuous intravenous maintenance infusion at 18 units/kg/hr18\text{ units/kg/hr}. The medication arrives from the pharmacy as a premixed IV bag containing 25,000 units25,000\text{ units} of heparin in 250 mL250\text{ mL} of 0.45%0.45\% sodium chloride. At what rate, in mL/hr\text{mL/hr}, should the continuous infusion pump be set? (Round to the nearest whole number).

Show answer & explanation

Answer: 15

Answer

15
To determine the correct IV pump rate, the client's weight (85 kg85\text{ kg}) is multiplied by the continuous maintenance rate (18 units/kg/hr18\text{ units/kg/hr}) to find the total hourly dose (1530 units/hr1530\text{ units/hr}). Next, the concentration of the supplied IV bag is calculated (25,000 units÷250 mL=100 units/mL25,000\text{ units} \div 250\text{ mL} = 100\text{ units/mL}). Dividing the required hourly dose by the concentration yields 15.3 mL/hr15.3\text{ mL/hr}. According to the provided instructions, rounding to the nearest whole number results in 15 mL/hr15\text{ mL/hr}.

Step-by-Step Solution

1
Calculate the total required units of heparin per hour.
85 kg×18 units/kg/hr=1530 units/hr85\text{ kg} \times 18\text{ units/kg/hr} = 1530\text{ units/hr}.
The maintenance infusion is ordered as a weight-based dose, so the client's total body weight must be multiplied by the prescribed rate.
2
Determine the concentration of the available medication bag.
25,000 units250 mL=100 units/mL\frac{25,000\text{ units}}{250\text{ mL}} = 100\text{ units/mL}.
Finding the amount of units per single mL is necessary to convert the hourly medication dose into an hourly fluid volume.
3
Calculate the infusion pump rate in mL/hr\text{mL/hr}.
1530 units/hr100 units/mL=15.3 mL/hr\frac{1530\text{ units/hr}}{100\text{ units/mL}} = 15.3\text{ mL/hr}.
Dividing the calculated hourly dose by the concentration yields the exact volume of fluid that must be administered each hour.
4
Round the final answer according to the instructions.
15.3 mL/hr15.3\text{ mL/hr} rounds down to 15 mL/hr15\text{ mL/hr}.
The question explicitly requires rounding to the nearest whole number to safely set the IV pump.

Key Concept

Weight-based intravenous medication calculation and continuous infusion pump rate programming.
Estimated Time:2m 0s
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