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Question 81Question →

A healthcare provider prescribes a continuous intravenous (IV) infusion of aminophylline at a rate of 0.5 mg/kg/hr0.5 \text{ mg/kg/hr} for a client experiencing a severe exacerbation of asthma. The client weighs 75 kg75 \text{ kg}. The pharmacy supplies an IV bag containing aminophylline 500 mg500 \text{ mg} in 250 mL250 \text{ mL} of 0.9% sodium chloride0.9\% \text{ sodium chloride}. At what rate, in mL/hr\text{mL/hr}, should the nurse set the IV infusion pump? Record your answer rounding to the nearest tenth.

Show answer & explanation

Answer: 18.8

Answer

The correct infusion rate is 18.8 mL/hr18.8 \text{ mL/hr}.
To determine the correct IV pump setting, the nurse must first calculate the total hourly dose based on the client's weight (0.5 mg/kg/hr×75 kg=37.5 mg/hr0.5 \text{ mg/kg/hr} \times 75 \text{ kg} = 37.5 \text{ mg/hr}). Next, the nurse divides this required hourly dose by the concentration of the medication provided by the pharmacy (500 mg/250 mL=2 mg/mL500 \text{ mg} / 250 \text{ mL} = 2 \text{ mg/mL}). The resulting calculation (37.5 mg/hr÷2 mg/mL=18.75 mL/hr37.5 \text{ mg/hr} \div 2 \text{ mg/mL} = 18.75 \text{ mL/hr}) is then rounded to the nearest tenth as instructed, resulting in a final programmed pump setting of 18.8 mL/hr18.8 \text{ mL/hr}.

Step-by-Step Solution

1
Calculate the required hourly dose.
37.5 mg/hr37.5 \text{ mg/hr}
The prescription is weight-based, so the client's total weight must be multiplied by the per-kg dose parameter.
2
Determine the medication concentration.
2 mg/mL2 \text{ mg/mL}
To find the volume needed per hour, the concentration of the available medication must be established.
3
Calculate the IV infusion rate.
18.75 mL/hr18.75 \text{ mL/hr}
Dividing the required hourly dose by the concentration yields the total volume to infuse per hour.
4
Round to the nearest tenth.
18.8 mL/hr18.8 \text{ mL/hr}
The question specifies rounding the final answer to the nearest tenth for programming the infusion pump.

Key Concept

Calculating weight-based continuous IV infusion rates
Question 82Question →

A nurse in the cardiovascular intensive care unit is caring for a client with acute decompensated heart failure. The client weighs 209 lbs209\text{ lbs}.

The client is receiving a continuous intravenous infusion of dobutamine. The standard hospital mixture contains 500 mg500\text{ mg} of dobutamine in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5W). The infusion pump is currently running at 17.1 mL/hr17.1\text{ mL/hr}.

The provider's order reads: 'Titrate dobutamine by 1.5 mcg/kg/min1.5\text{ mcg/kg/min} every 15 minutes15\text{ minutes} to achieve a cardiac index ≥2.2 L/min/m2\geq 2.2\text{ L/min/m}^2.'

The latest hemodynamic assessment reveals a cardiac index of 1.8 L/min/m21.8\text{ L/min/m}^2. The nurse prepares to perform the next titration step according to the protocol.

At what value in mL/hr\text{mL/hr} will the nurse program the infusion pump for the new dose? (Round the final answer to the nearest tenth.)

Show answer & explanation

Answer: 21.4

Answer

The new infusion pump rate should be set to 21.4 mL/hr21.4\text{ mL/hr}.
To arrive at the correct value, the nurse must first convert the weight to kilograms (95 kg95\text{ kg}) and determine the solution's concentration (2,000 mcg/mL2,000\text{ mcg/mL}). The low cardiac index dictates an upward titration. The required dose increase (1.5 mcg/kg/min1.5\text{ mcg/kg/min}) is multiplied by weight (95 kg95\text{ kg}) and time (60 minutes60\text{ minutes}) to find the hourly dose increase (8,550 mcg/hr8,550\text{ mcg/hr}). Dividing this by the concentration (2,000 mcg/mL2,000\text{ mcg/mL}) yields the rate increase of 4.275 mL/hr4.275\text{ mL/hr}. Adding this to the current baseline rate of 17.1 mL/hr17.1\text{ mL/hr} equals 21.375 mL/hr21.375\text{ mL/hr}, which correctly rounds to 21.4 mL/hr21.4\text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
209 lbs÷2.2 lbs/kg=95 kg209\text{ lbs} \div 2.2\text{ lbs/kg} = 95\text{ kg}
The medication dosing protocol is based on metric weight (kilograms).
2
Calculate the exact concentration of the dobutamine infusion in mcg/mL\text{mcg/mL}.
500 mg=500,000 mcg500\text{ mg} = 500,000\text{ mcg}. Then, 500,000 mcg÷250 mL=2,000 mcg/mL500,000\text{ mcg} \div 250\text{ mL} = 2,000\text{ mcg/mL}.
Titration orders are in micrograms (mcg), so the medication concentration must match this unit to calculate volume.
3
Determine the necessary clinical intervention based on the current cardiac index.
The current cardiac index is 1.8 L/min/m21.8\text{ L/min/m}^2, which is less than the goal of 2.2 L/min/m22.2\text{ L/min/m}^2. The dose must be increased by the ordered 1.5 mcg/kg/min1.5\text{ mcg/kg/min}.
Nurses must independently assess parameters to decide the direction of the titration before performing the math.
4
Calculate the total dose increase in mcg/min\text{mcg/min} for this specific client.
1.5 mcg/kg/min×95 kg=142.5 mcg/min1.5\text{ mcg/kg/min} \times 95\text{ kg} = 142.5\text{ mcg/min}.
This isolates the exact amount of extra drug the client needs every minute.
5
Convert the per-minute dose increase to a per-hour dose increase.
142.5 mcg/min×60 minutes/hour=8,550 mcg/hr142.5\text{ mcg/min} \times 60\text{ minutes/hour} = 8,550\text{ mcg/hr}.
IV infusion pumps are programmed in hourly rates (mL/hr\text{mL/hr}), so the dose must reflect an hourly timeframe.
6
Calculate the volumetric rate increase (mL/hr\text{mL/hr}) required to deliver the extra 8,550 mcg/hr8,550\text{ mcg/hr}.
8,550 mcg/hr÷2,000 mcg/mL=4.275 mL/hr8,550\text{ mcg/hr} \div 2,000\text{ mcg/mL} = 4.275\text{ mL/hr}.
This translates the needed extra medication into the actual fluid volume the pump will deliver.
7
Add the rate increase to the current running rate and apply rounding rules.
17.1 mL/hr+4.275 mL/hr=21.375 mL/hr17.1\text{ mL/hr} + 4.275\text{ mL/hr} = 21.375\text{ mL/hr}. Rounded to the nearest tenth, this is 21.4 mL/hr21.4\text{ mL/hr}.
The final step combines the current baseline therapy with the newly calculated upward adjustment.

Key Concept

Weight-Based Continuous Infusion Titration and Hemodynamic Interpretation
Estimated Time:3m 0s
Question 83Question →

An emergency department nurse is managing a client in a hypertensive crisis. The client weighs 85 kg85\text{ kg} and is currently receiving a continuous intravenous (IV) infusion of sodium nitroprusside at 25 mL/hr25\text{ mL/hr}. The IV bag contains 50 mg50\text{ mg} of sodium nitroprusside mixed in 250 mL250\text{ mL} of 5%5\% Dextrose in Water (D5WD_5W). According to the facility protocol, the nurse must titrate the infusion upward by 0.5 mcg/kg/min0.5\text{ mcg/kg/min} if the mean arterial pressure (MAP) remains above 80 mm Hg80\text{ mm Hg}. The client's current MAP is 94 mm Hg94\text{ mm Hg}. After increasing the dosage by one increment, what will be the new infusion pump rate in mL/hr\text{mL/hr}? Record your answer to the nearest tenth.

Show answer & explanation

Answer: 37.8

Answer

37.8
To safely titrate the sodium nitroprusside, the nurse must first establish the concentration of the solution (50,000 mcg/250 mL=200 mcg/mL50,000\text{ mcg} / 250\text{ mL} = 200\text{ mcg/mL}). Next, the nurse calculates the required dose increase based on the client's weight (0.5 mcg/kg/min×85 kg=42.5 mcg/min0.5\text{ mcg/kg/min} \times 85\text{ kg} = 42.5\text{ mcg/min}). Because infusion pumps run in mL/hr\text{mL/hr}, this dose must be multiplied by 6060 minutes to find the hourly dose increase (2,550 mcg/hr2,550\text{ mcg/hr}). Dividing the hourly dose by the concentration yields the rate increase in volume (2,550 mcg/hr÷200 mcg/mL=12.75 mL/hr2,550\text{ mcg/hr} \div 200\text{ mcg/mL} = 12.75\text{ mL/hr}). Finally, adding this increase to the current rate gives the new total rate (25 mL/hr+12.75 mL/hr=37.75 mL/hr25\text{ mL/hr} + 12.75\text{ mL/hr} = 37.75\text{ mL/hr}), which rounds to 37.8 mL/hr37.8\text{ mL/hr}.

Step-by-Step Solution

1
Convert the total medication mass from milligrams to micrograms.
50 mg×1,000 mcg/mg=50,000 mcg50\text{ mg} \times 1,000\text{ mcg/mg} = 50,000\text{ mcg}
The prescribed titration increment is provided in micrograms, so the concentration must be in the same unit.
2
Calculate the concentration of the sodium nitroprusside IV solution.
50,000 mcg÷250 mL=200 mcg/mL50,000\text{ mcg} \div 250\text{ mL} = 200\text{ mcg/mL}
Determining the amount of medication per milliliter of fluid is necessary to convert the required dose into a pump rate.
3
Calculate the dose increase per minute based on the client's weight.
0.5 mcg/kg/min×85 kg=42.5 mcg/min0.5\text{ mcg/kg/min} \times 85\text{ kg} = 42.5\text{ mcg/min}
Weight-based dosing requires multiplying the prescribed parameter by the client's total body weight in kg.
4
Convert the per-minute dose increase to a per-hour dose.
42.5 mcg/min×60 min/hr=2,550 mcg/hr42.5\text{ mcg/min} \times 60\text{ min/hr} = 2,550\text{ mcg/hr}
IV infusion pumps are programmed in milliliters per hour, so the dose must reflect an hourly rate.
5
Calculate the volume increase required to deliver the hourly dose.
2,550 mcg/hr÷200 mcg/mL=12.75 mL/hr2,550\text{ mcg/hr} \div 200\text{ mcg/mL} = 12.75\text{ mL/hr}
Dividing the desired hourly dose by the fluid concentration yields the required increase in the pump rate.
6
Add the rate increase to the client's current continuous infusion rate.
25 mL/hr+12.75 mL/hr=37.75 mL/hr25\text{ mL/hr} + 12.75\text{ mL/hr} = 37.75\text{ mL/hr}
The question asks for the new total infusion rate, which is the sum of the previous rate and the titration increase.
7
Round the final answer to the nearest tenth as directed.
37.8 mL/hr37.8\text{ mL/hr}
Clinical calculations must adhere strictly to the rounding instructions provided in the order or prompt.

Key Concept

Weight-based Intravenous Medication Titration
Question 84Question →

A nurse is collecting an obstetrical history from a client admitted to the labor and birth unit. The client reports the following history:

- Currently pregnant with twins.
- Delivered a viable male infant at 3939 weeks of gestation, who is now 55 years old and healthy.
- Delivered viable female twins at 3434 weeks of gestation, both of whom are now 33 years old and healthy.
- Experienced a spontaneous abortion at 1010 weeks of gestation.
- Delivered a stillborn fetus at 2222 weeks of gestation.

Using the GTPAL system, calculate the number that represents the client's "Preterm" (P) deliveries. Record your answer as a whole number.

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Answer: 2

Answer

2
The client's 'Preterm' (P) score is 22. This includes the delivery of the twins at 3434 weeks (which counts as one delivery event) and the delivery of the stillborn fetus at 2222 weeks (which counts as a delivery because it reached 2020 weeks of gestation). The current pregnancy is not a delivery, the 3939-week delivery is term (T), and the 1010-week loss is an abortion (A).

Step-by-Step Solution

1
Define the criteria for a preterm delivery.
A preterm delivery is defined as birth occurring between 2020 weeks 00 days and 3636 weeks 66 days of gestation.
Establishing the correct gestational age parameters is required before evaluating the client's obstetrical history.
2
Evaluate the twin delivery at 3434 weeks of gestation.
This counts as 11 preterm delivery.
In the GTPAL system, multiple gestations (such as twins or triplets) count as a single pregnancy and a single delivery event.
3
Evaluate the stillborn delivery at 2222 weeks of gestation.
This counts as 11 preterm delivery.
The delivery occurred after 2020 weeks of gestation, so it meets the criteria for preterm regardless of the fetal outcome.
4
Calculate the total preterm (P) count.
The total is 1+1=21 + 1 = 2.
Summing the identified preterm deliveries yields the final score.

Key Concept

In the GTPAL system, 'Preterm' (P) refers to the number of pregnancies that ended between 20 and 36 weeks 6 days of gestation, with multiple gestations counting as a single delivery and fetal survival not affecting the classification.
Question 85Question →

A nurse is performing an assessment on a newborn 11 minute after birth. The nurse notes the following findings:
- Heart rate: 114114 beats/min
- Respiratory effort: Loud, vigorous cry
- Muscle tone: Active, spontaneous movement of all extremities
- Reflex irritability: Vigorous cry and pulls away during bulb syringe suctioning
- Color: Pink trunk with bluish hands and feet

Calculate the newborn's 11-minute APGAR score. (Enter only the final numeric value)

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Answer: 9

Answer

9
The correct answer is 9. The APGAR score evaluates five categories on a scale of 0 to 2. The newborn scores 1 point for color (acrocyanosis) and 2 points each for heart rate (>100), reflex irritability (pulls away), muscle tone (active movement), and respiratory effort (vigorous cry). The total sum is 9.

Step-by-Step Solution

1
Evaluate Appearance (Color).
1 point
The newborn has a pink trunk with bluish hands and feet, which is known as acrocyanosis. This is a normal finding at 1 minute but deducts one point from a perfect score.
2
Evaluate Pulse (Heart Rate).
2 points
The heart rate is 114 beats/min. Any heart rate greater than 100 beats/min receives the maximum of 2 points.
3
Evaluate Grimace (Reflex Irritability).
2 points
Vigorously crying and pulling away during stimulation (suctioning) indicates excellent reflex irritability, earning 2 points.
4
Evaluate Activity (Muscle Tone).
2 points
Active, spontaneous movement of all extremities indicates strong muscle tone, scoring 2 points.
5
Evaluate Respiration (Respiratory Effort).
2 points
A loud, vigorous cry demonstrates optimal respiratory effort, scoring 2 points.
6
Calculate the total APGAR score.
9
The sum of the five individual components is 1+2+2+2+2=91 + 2 + 2 + 2 + 2 = 9.

Key Concept

APGAR Scoring System
Question 86Question →

A critical care nurse is preparing to initiate a continuous IV infusion of dobutamine for a client with severe heart failure. The healthcare provider has prescribed dobutamine at 5 mcg/kg/min5 \text{ mcg/kg/min}. The client weighs 198 lb198 \text{ lb}. The medication is supplied as dobutamine 500 mg500 \text{ mg} in 250 mL250 \text{ mL} of 5% dextrose in water (D5W). At what rate, in mL/hr\text{mL/hr}, should the nurse set the IV infusion pump? (Record your answer using one decimal place.)

Show answer & explanation

Answer: 13.5

Answer

13.5
To determine the correct IV pump rate, first convert the weight to kilograms (198 lb÷2.2=90 kg198 \text{ lb} \div 2.2 = 90 \text{ kg}). Then, calculate the total dose in mcg/min (5 mcg/kg/min×90 kg=450 mcg/min5 \text{ mcg/kg/min} \times 90 \text{ kg} = 450 \text{ mcg/min}). Next, convert to an hourly dose (450 mcg/min×60 min/hr=27,000 mcg/hr450 \text{ mcg/min} \times 60 \text{ min/hr} = 27,000 \text{ mcg/hr}), and then to milligrams (27,000 mcg÷1,000=27 mg/hr27,000 \text{ mcg} \div 1,000 = 27 \text{ mg/hr}). Finally, divide the hourly dose by the concentration of the IV bag (500 mg÷250 mL=2 mg/mL500 \text{ mg} \div 250 \text{ mL} = 2 \text{ mg/mL}) to find the rate in mL/hr: 27 mg/hr÷2 mg/mL=13.5 mL/hr27 \text{ mg/hr} \div 2 \text{ mg/mL} = 13.5 \text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds (lb) to kilograms (kg).
198 lb÷2.2 lb/kg=90 kg198 \text{ lb} \div 2.2 \text{ lb/kg} = 90 \text{ kg}
The prescribed dose is weight-based in kilograms, so the client's weight must first be converted into the correct unit.
2
Calculate the total required dose per minute.
5 mcg/kg/min×90 kg=450 mcg/min5 \text{ mcg/kg/min} \times 90 \text{ kg} = 450 \text{ mcg/min}
Multiplying the prescribed weight-based dose by the client's weight determines the exact dose the client needs each minute.
3
Convert the per-minute dose to an hourly dose.
450 mcg/min×60 min/hr=27,000 mcg/hr450 \text{ mcg/min} \times 60 \text{ min/hr} = 27,000 \text{ mcg/hr}
IV infusion pumps are set in milliliters per hour (mL/hr), so the required medication dose must be calculated on an hourly basis.
4
Convert the hourly dose from micrograms (mcg) to milligrams (mg).
27,000 mcg/hr÷1,000 mcg/mg=27 mg/hr27,000 \text{ mcg/hr} \div 1,000 \text{ mcg/mg} = 27 \text{ mg/hr}
The supplied medication concentration is provided in milligrams, so the requested dose must be converted to match the supplied unit.
5
Calculate the required volume to infuse per hour.
27 mg/hr÷(500 mg/250 mL)=27 mg/hr÷2 mg/mL=13.5 mL/hr27 \text{ mg/hr} \div (500 \text{ mg} / 250 \text{ mL}) = 27 \text{ mg/hr} \div 2 \text{ mg/mL} = 13.5 \text{ mL/hr}
Dividing the desired hourly dose by the medication concentration determines the final infusion pump rate in mL/hr.

Key Concept

Weight-Based Intravenous Medication Dosage Calculation
Question 87Question →

A nurse is performing an initial assessment on a neonate exactly 1 minute after birth. The neonate presents with a heart rate of 142 beats per minute, a vigorous cry, active spontaneous movement of all extremities, a strong cough and sneeze during nasal suctioning, and a completely pink trunk with blue hands and feet. Calculate the neonate's 1-minute Apgar score.

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Answer: 9

Answer

9
The Apgar score consists of five parameters evaluated at 1 and 5 minutes of life, each scored from 0 to 2. A heart rate over 100 beats per minute (2 points), a strong respiratory effort or cry (2 points), active muscle tone (2 points), vigorous reflex irritability (2 points), and acrocyanosis (1 point) yield a total score of 9.

Step-by-Step Solution

1
Evaluate the neonate's pulse (Heart Rate).
2 points
A heart rate of 142 beats per minute is greater than 100 beats per minute, earning the maximum score for this category.
2
Evaluate the neonate's respiratory effort.
2 points
A vigorous cry indicates excellent respiratory effort, warranting full points.
3
Evaluate the neonate's activity (Muscle Tone).
2 points
Active spontaneous movement of all extremities demonstrates optimal muscle tone.
4
Evaluate the neonate's grimace (Reflex Irritability).
2 points
A strong cough and sneeze in response to stimulation (nasal suctioning) is a normal, robust reflex response.
5
Evaluate the neonate's appearance (Color).
1 point
A completely pink trunk with blue hands and feet describes acrocyanosis, which is a normal finding but only receives a partial score. A score of 2 requires the entire body to be pink.
6
Sum the individual component scores to determine the final Apgar score.
9
Adding the components together (2 + 2 + 2 + 2 + 1) provides the comprehensive 1-minute assessment value.

Key Concept

Apgar scoring system for newborn assessment
Question 88Question →

At exactly 5 minutes of life, a newborn is assessed by the delivery room team. The documented findings include: an apical pulse of 94 beats per minute, weak and irregular respirations, slight flexion of the arms and legs, a strong sneeze in response to bulb suctioning of the nares, and completely pink skin over the entire body.

Based on these findings, what is the infant's total Apgar score?

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Answer: 7

Answer

The infant's total Apgar score is 7.
The Apgar scoring system evaluates five parameters on a scale of 0 to 2. A heart rate under 100 bpm (1 point), weak respirations (1 point), and slight extremity flexion (1 point) indicate some transitional difficulty. However, a vigorous sneeze (2 points) and completely pink skin (2 points) reflect excellent reflex irritability and oxygenation. The sum of these parameters is exactly 7.

Step-by-Step Solution

1
Evaluate Heart Rate
1 point
An apical pulse of 94 is less than 100 beats per minute.
2
Evaluate Respiratory Effort
1 point
Respirations are weak and irregular, rather than a robust cry.
3
Evaluate Muscle Tone
1 point
There is only slight flexion of the arms and legs, without active motion.
4
Evaluate Reflex Irritability
2 points
A strong sneeze in response to suctioning demonstrates a vigorous reflex response.
5
Evaluate Skin Color
2 points
The skin is completely pink over the entire body, with no cyanosis present.
6
Calculate total score
7 points
Summing all assigned points (1 + 1 + 1 + 2 + 2) provides the final Apgar score.

Key Concept

Apgar Score Calculation and Interpretation
Question 89Question →

A patient with septic shock, weighing 165 lbs165\text{ lbs}, is receiving a continuous intravenous infusion of norepinephrine via a dedicated central venous catheter to minimize the risk of extravasation. The current infusion rate delivers 0.05 mcg/kg/min0.05\text{ mcg/kg/min}. The patient's mean arterial pressure (MAP) is currently 58 mmHg58\text{ mmHg}. The hemodynamic titration protocol prescribes increasing the dose by 0.02 mcg/kg/min0.02\text{ mcg/kg/min} every 5 minutes5\text{ minutes} until the MAP is ≥65 mmHg\ge 65\text{ mmHg}. The medication is supplied as 4 mg4\text{ mg} of norepinephrine in 250 mL250\text{ mL} of 5% dextrose in water (D5W). The nurse prepares to initiate the first titration increment. What should the new infusion pump rate be set at in mL/hr\text{mL/hr}? (Round to the nearest tenth)

Show answer & explanation

Answer: 19.7

Answer

19.7
To find the correct infusion rate, the nurse must first convert the patient's weight to kilograms (75 kg75\text{ kg}) and determine the new dose rate (0.07 mcg/kg/min0.07\text{ mcg/kg/min}). By multiplying the dose by the weight and 60 minutes60\text{ minutes}, the total hourly requirement is found (315 mcg/hr315\text{ mcg/hr}). Dividing this by the medication concentration (16 mcg/mL16\text{ mcg/mL}) yields 19.6875 mL/hr19.6875\text{ mL/hr}, correctly rounded to 19.7 mL/hr19.7\text{ mL/hr}.

Step-by-Step Solution

1
Convert the patient's weight from pounds to kilograms.
165÷2.2=75 kg165 \div 2.2 = 75\text{ kg}
Weight-based critical care medication dosing requires metric units.
2
Calculate the new required dose according to the titration protocol.
0.05 mcg/kg/min+0.02 mcg/kg/min=0.07 mcg/kg/min0.05\text{ mcg/kg/min} + 0.02\text{ mcg/kg/min} = 0.07\text{ mcg/kg/min}
The MAP is subtherapeutic (58 mmHg58\text{ mmHg}), so the infusion must be increased by the specified increment.
3
Calculate the total required micrograms per hour.
0.07 mcg/kg/min×75 kg×60 min/hr=315 mcg/hr0.07\text{ mcg/kg/min} \times 75\text{ kg} \times 60\text{ min/hr} = 315\text{ mcg/hr}
Infusion pumps are programmed in mL/hr\text{mL/hr}, so the time unit must be converted from minutes to hours, and the weight factored in.
4
Determine the concentration of the supplied medication in mcg/mL\text{mcg/mL}.
4 mg=4000 mcg4\text{ mg} = 4000\text{ mcg}; 4000 mcg÷250 mL=16 mcg/mL4000\text{ mcg} \div 250\text{ mL} = 16\text{ mcg/mL}
The prescribed dose is in micrograms, so the medication supply must be converted to matching units to find the volume.
5
Calculate the final infusion rate in mL/hr\text{mL/hr} and round to the nearest tenth.
315 mcg/hr÷16 mcg/mL=19.6875 mL/hr315\text{ mcg/hr} \div 16\text{ mcg/mL} = 19.6875\text{ mL/hr}, which rounds to 19.7 mL/hr19.7\text{ mL/hr}
Dividing the hourly dose by the concentration yields the volume per hour required for the pump setting.

Key Concept

Weight-Based Continuous IV Infusion Titration
Question 90Question →

A nurse is caring for a client with decompensated heart failure who weighs 187 lb187\text{ lb}. The healthcare provider prescribes a continuous IV infusion of dobutamine at 7.5 mcg/kg/min7.5\text{ mcg/kg/min}. The pharmacy dispenses a premixed IV bag containing dobutamine 500 mg500\text{ mg} in 250 mL250\text{ mL} of 5% dextrose in water5\%\text{ dextrose in water}. At what rate, in mL/hr\text{mL/hr}, should the nurse set the IV infusion pump? (Record your answer to the nearest tenth.)

Show answer & explanation

Answer: 19.1

Answer

19.1
The correct pump rate is determined by first calculating the client's total hourly medication requirement in milligrams, and then dividing that amount by the concentration of the prepared intravenous solution to find the volume needed per hour.

Step-by-Step Solution

1
Convert the client's weight to kilograms
85 kg85\text{ kg}
Weight-based dosing formulas require the weight in kilograms (187÷2.2=85187 \div 2.2 = 85)
2
Calculate the total dose per minute
637.5 mcg/min637.5\text{ mcg/min}
Multiply the client's weight by the prescribed dose (85×7.5=637.585 \times 7.5 = 637.5)
3
Convert the minute dose to an hourly dose
38,250 mcg/hr38,250\text{ mcg/hr}
Infusion pumps are programmed in mL/hr, so the dose must be per hour (637.5×60=38,250637.5 \times 60 = 38,250)
4
Convert micrograms to milligrams
38.25 mg/hr38.25\text{ mg/hr}
The dispensed medication is measured in milligrams, so units must match (38,250÷1,000=38.2538,250 \div 1,000 = 38.25)
5
Determine the concentration of the IV solution
2 mg/mL2\text{ mg/mL}
Divide the total milligrams by the total volume in the bag (500÷250=2500 \div 250 = 2)
6
Calculate the final infusion rate
19.125 mL/hr19.125\text{ mL/hr}
Divide the hourly dose by the fluid concentration (38.25÷2=19.12538.25 \div 2 = 19.125)
7
Round the final answer
19.1 mL/hr19.1\text{ mL/hr}
The question requires rounding to the nearest tenth

Key Concept

Weight-based continuous intravenous infusion rate calculation
Estimated Time:2m 0s
Question 91Question →

A nurse is evaluating a newborn to determine the 5-minute APGAR score. The newborn's assessment findings are as follows:

- Heart rate: 112 beats/min
- Respiratory effort: Slow, weak cry
- Muscle tone: Some flexion of extremities
- Reflex irritability: Grimace in response to stimulation
- Color: Body pink, hands and feet cyanotic

Calculate the newborn's APGAR score.

Show answer & explanation

Answer: 6

Answer

6
The APGAR score is calculated based on five parameters, each scored from 0 to 2. This newborn receives 1 point for Appearance (acrocyanosis), 2 points for Pulse (>100 bpm), 1 point for Grimace (grimace to stimulation), 1 point for Activity (some flexion), and 1 point for Respiration (weak cry). The total sum is 1 + 2 + 1 + 1 + 1 = 6 points.

Step-by-Step Solution

1
Assign points for Appearance (Color)
1 point
The newborn has a pink body but cyanotic extremities (acrocyanosis), which warrants 1 point instead of 2 (completely pink) or 0 (completely blue/pale).
2
Assign points for Pulse (Heart rate)
2 points
A heart rate of 112 beats/min is above the 100 beats/min threshold, earning the maximum of 2 points.
3
Assign points for Grimace (Reflex irritability)
1 point
A grimace response to stimulation scores 1 point, whereas a vigorous cry or active withdrawal would score 2 points.
4
Assign points for Activity (Muscle tone)
1 point
Demonstrating only some flexion of the extremities earns 1 point, as opposed to active motion which would earn 2 points.
5
Assign points for Respiration (Respiratory effort)
1 point
A slow, weak cry scores 1 point, unlike a good, strong cry which would score 2 points.
6
Calculate the total score
6 points
1 (Color) + 2 (Pulse) + 1 (Grimace) + 1 (Activity) + 1 (Respiration) = 6.

Key Concept

APGAR Scoring Interpretation
Question 92Question →

A nurse is caring for a client in the intensive care unit who is experiencing a hypertensive emergency. The client weighs 209 lbs209\text{ lbs}. The healthcare provider prescribes a continuous intravenous infusion of sodium nitroprusside at 3 mcg/kg/min3\text{ mcg/kg/min}. The pharmacy dispenses a premixed IV bag containing 50 mg50\text{ mg} of sodium nitroprusside in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5W).

At what rate, in mL/hr\text{mL/hr}, should the nurse set the infusion pump? (Record your answer using one decimal place.)

Show answer & explanation

Answer: 85.5

Answer

85.5
To safely administer a weight-based continuous IV infusion ordered in mcg/kg/min, the nurse must execute several sequential conversions. First, convert the weight to kg (209 lbs / 2.2 = 95 kg). Next, find the hourly dose by multiplying the weight by the order and then by 60 minutes (95 kg * 3 mcg/kg/min * 60 min/hr = 17,100 mcg/hr). Then, determine the concentration of the IV bag by converting mg to mcg (50 mg = 50,000 mcg) and dividing by the volume (50,000 mcg / 250 mL = 200 mcg/mL). Finally, divide the required hourly dose by the concentration to find the correct pump rate (17,100 mcg/hr / 200 mcg/mL = 85.5 mL/hr).

Step-by-Step Solution

1
Convert the client's weight to kilograms.
95 kg
The medication is dosed based on weight in kg, but the client's weight is provided in lbs.
2
Calculate the patient-specific dose per minute.
285 mcg/min
Multiply the prescribed dose (3 mcg/kg/min) by the client's weight in kg to find the total per-minute dose.
3
Calculate the dose per hour.
17,100 mcg/hr
Infusion pumps are programmed in mL/hr, so the dose must reflect an hourly rate rather than a minute rate.
4
Convert the medication weight in the bag from mg to mcg.
50,000 mcg
The prescribed dose is calculated in mcg, but the IV bag contains mg. Units must match to calculate concentration.
5
Calculate the IV bag concentration.
200 mcg/mL
Divide the total micrograms (50,000) by the total volume (250 mL) to determine how many micrograms are in each mL.
6
Calculate the infusion pump rate in mL/hr.
85.5 mL/hr
Divide the required hourly dose (17,100 mcg/hr) by the concentration (200 mcg/mL) to find the volume needed per hour.

Key Concept

Weight-based critical care continuous intravenous infusion calculations requiring multiple unit conversions
Question 93Question →

An adult client who is 24 hours24\text{ hours} postoperative following a small bowel resection remains NPO (nothing by mouth). The primary healthcare provider prescribes a continuous intravenous (IV) infusion of 1000 mL1000\text{ mL} of lactated Ringer's solution to be administered over an 8-hour8\text{-hour} period.

At what rate in milliliters per hour (mL/hr) should the nurse set the electronic IV infusion pump? Record your answer as a whole number.

Show answer & explanation

Answer: 125

Answer

The nurse should set the electronic IV infusion pump to deliver 125 mL/hr125\text{ mL/hr}.
To determine the correct programmed rate for an electronic intravenous infusion pump, the nurse must calculate the volume of fluid to be administered per hour. The standardized formula is Total Volume (mL)÷Total Time (hours)\text{Total Volume (mL)} \div \text{Total Time (hours)}. Dividing 1000 mL1000\text{ mL} by 8 hours8\text{ hours} yields a precise continuous rate of 125 mL/hr125\text{ mL/hr}.

Step-by-Step Solution

1
Identify the total prescribed volume.
1000 mL1000\text{ mL}
This value serves as the numerator in the infusion rate calculation.
2
Identify the prescribed duration for the infusion.
8 hours8\text{ hours}
This value serves as the denominator in the infusion rate calculation.
3
Divide the total volume by the total time.
1000÷8=1251000 \div 8 = 125
This mathematical operation determines the specific amount of fluid that must be delivered each hour to complete the infusion on time.

Key Concept

Basic intravenous fluid infusion rate calculation for an electronic pump
Question 94Question →

A primary health care provider prescribes a continuous intravenous heparin infusion for a client diagnosed with a deep vein thrombosis. The client's admission weight is 198 lb198\text{ lb}. The prescribed infusion rate is 15 units/kg/hr15\text{ units/kg/hr}, and the medication arrives from the pharmacy as a premixed 500 mL500\text{ mL} bag containing 25,000 units25,000\text{ units} of heparin. At what rate should the nurse set the infusion pump in mL/hr\text{mL/hr}? (Record the answer as a whole number)

Show answer & explanation

Answer: 27

Answer

27
To solve this calculation, first convert pounds to kilograms: 198÷2.2=90 kg198 \div 2.2 = 90\text{ kg}. Next, calculate the hourly dose: 15 units×90 kg=1350 units/hr15\text{ units} \times 90\text{ kg} = 1350\text{ units/hr}. Finally, calculate the volume using dimensional analysis or the D/H x V formula: (1350 units/hr÷25,000 units)×500 mL=27 mL/hr(1350\text{ units/hr} \div 25,000\text{ units}) \times 500\text{ mL} = 27\text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
198 lb÷2.2 lb/kg=90 kg198\text{ lb} \div 2.2\text{ lb/kg} = 90\text{ kg}
The prescribed heparin rate is weight-based in kilograms, so the client's weight must first be converted into the appropriate unit.
2
Calculate the hourly dose of heparin required.
15 units/kg/hr×90 kg=1350 units/hr15\text{ units/kg/hr} \times 90\text{ kg} = 1350\text{ units/hr}
Multiplying the weight-based prescription by the client's total weight in kilograms yields the total number of units required per hour.
3
Determine the concentration of the supplied heparin 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 in a single milliliter, divide the total units in the bag by the total volume of the bag.
4
Calculate the required infusion rate in mL/hr.
1350 units/hr÷50 units/mL=27 mL/hr1350\text{ units/hr} \div 50\text{ units/mL} = 27\text{ mL/hr}
Dividing the required hourly dose by the concentration provides the volume that must be infused per hour to deliver that dose.

Key Concept

Weight-Based Intravenous Medication Calculations
Question 95Question →

A nurse is evaluating a 48-hour-old newborn prior to discharge. The newborn's birth weight was 3,500 g3,500\text{ g}, and the current weight is 3,255 g3,255\text{ g}. Calculate the newborn's percentage of body weight loss. Enter only the numeric value.

Show answer & explanation

Answer: 7

Answer

The correct answer is 7.
In the first few days of life, it is normal for a newborn to lose up to 10%10\% of their birth weight due to fluid shifts, meconium passage, and limited initial intake. To calculate the percentage of weight loss, subtract the current weight from the birth weight to find the total loss (3,500 g−3,255 g=245 g3,500\text{ g} - 3,255\text{ g} = 245\text{ g}). Next, divide the lost weight by the original birth weight (245 g÷3,500 g=0.07245\text{ g} \div 3,500\text{ g} = 0.07) and multiply by 100100 to convert to a percentage (7%7\%). Since the loss is less than 10%10\%, this is an expected physiological finding that requires continued routine care.

Step-by-Step Solution

1
Calculate the total weight lost in grams.
3,500−3,255=245 g3,500 - 3,255 = 245\text{ g}
Determines the absolute amount of fluid and tissue weight the newborn has lost since birth.
2
Divide the total weight lost by the initial birth weight.
245÷3,500=0.07245 \div 3,500 = 0.07
Finds the proportion of weight loss relative to the starting physiological baseline.
3
Multiply the proportion by 100100 to get the percentage.
0.07×100=7%0.07 \times 100 = 7\%
Converts the decimal value into a percentage for standard clinical evaluation.

Key Concept

Neonatal physiological weight loss
Question 96Question →

A rapid response nurse is managing a client who experienced a severe extravasation of a continuous norepinephrine infusion from a peripheral intravenous catheter. Following the facility's extravasation management protocol, the primary health care provider prescribes phentolamine mesylate 0.15 mg/kg0.15\text{ mg/kg} to be infiltrated subcutaneously around the ischemic site.

The client weighs 191.4 lbs191.4\text{ lbs}.

The pharmacy dispenses phentolamine in lyophilized vials, which the nurse reconstitutes to yield a concentration of 5 mg/mL5\text{ mg/mL}.

The protocol mandates that the exact calculated phentolamine dose must be further diluted with 0.9%0.9\% sodium chloride to achieve a final total syringe volume of 12 mL12\text{ mL} prior to administration.

How many milliliters (mL\text{mL}) of 0.9%0.9\% sodium chloride must the nurse draw up to mix with the phentolamine? Record your answer to the nearest tenth.

Show answer & explanation

Answer: 9.4

Answer

The nurse must draw up 9.4 mL of 0.9% sodium chloride.
To determine the correct amount of diluent, the nurse must first convert the client's weight to kilograms (191.4 lbs÷2.2=87 kg191.4\text{ lbs} \div 2.2 = 87\text{ kg}). Next, calculate the total medication dose (87 kg×0.15 mg/kg=13.05 mg87\text{ kg} \times 0.15\text{ mg/kg} = 13.05\text{ mg}). Then, determine the volume of the medication using the available concentration (13.05 mg÷5 mg/mL=2.61 mL13.05\text{ mg} \div 5\text{ mg/mL} = 2.61\text{ mL}). Finally, subtract the medication volume from the required total syringe volume to find the amount of diluent needed (12 mL−2.61 mL=9.39 mL12\text{ mL} - 2.61\text{ mL} = 9.39\text{ mL}). Rounding 9.39 mL9.39\text{ mL} to the nearest tenth yields 9.4 mL9.4\text{ mL}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
87 kg87\text{ kg}
The prescribed dose is weight-based in mg/kg, so the weight must be converted. 191.4 lbs÷2.2=87 kg191.4\text{ lbs} \div 2.2 = 87\text{ kg}.
2
Calculate the total required dose in milligrams.
13.05 mg13.05\text{ mg}
Multiply the client's weight in kilograms by the prescribed dosage. 87 kg×0.15 mg/kg=13.05 mg87\text{ kg} \times 0.15\text{ mg/kg} = 13.05\text{ mg}.
3
Calculate the volume of the phentolamine medication.
2.61 mL2.61\text{ mL}
Divide the total required dose by the available concentration. 13.05 mg÷5 mg/mL=2.61 mL13.05\text{ mg} \div 5\text{ mg/mL} = 2.61\text{ mL}.
4
Determine the volume of diluent required.
9.39 mL9.39\text{ mL}
Subtract the medication volume from the target final syringe volume to find the amount of diluent needed. 12 mL−2.61 mL=9.39 mL12\text{ mL} - 2.61\text{ mL} = 9.39\text{ mL}.
5
Round the final volume to the nearest tenth.
9.4 mL9.4\text{ mL}
Standard rounding rules dictate that a hundredth value of 9 rounds the tenth value up. 9.39 mL≈9.4 mL9.39\text{ mL} \approx 9.4\text{ mL}.

Key Concept

Calculating complex weight-based medication dosages and diluent volumes for parenteral administration.
Question 97Question →

A client with severe gastroenteritis requires intravenous rehydration. The treatment plan includes 1,000 mL1,000\text{ mL} of 0.9%0.9\% sodium chloride to run over a 4-hour4\text{-hour} period. At what rate in mL/hr\text{mL/hr} should the nurse program the infusion pump? (Record your answer using a whole number.)

Show answer & explanation

Answer: 250

Answer

The nurse should program the infusion pump to deliver 250 mL/hr250\text{ mL/hr}.
To determine the correct hourly infusion rate for an IV pump, divide the total volume of fluid to be infused (1,000 mL1,000\text{ mL}) by the total duration of the infusion (4 hours4\text{ hours}). The resulting quotient (250 mL/hr250\text{ mL/hr}) is the correct programming rate.

Step-by-Step Solution

1
Identify the total volume to be infused.
1,000 mL1,000\text{ mL}
The total volume serves as the numerator in the infusion rate formula.
2
Identify the total time for the infusion.
4 hours4\text{ hours}
The pump rate requires a time denominator in hours.
3
Divide the total volume by the total time.
1,000 mL÷4 hours=250 mL/hr1,000\text{ mL} \div 4\text{ hours} = 250\text{ mL/hr}
This calculation yields the exact volume to be delivered each hour.

Key Concept

Calculating basic intravenous pump infusion rates.
Question 98Question →

A client is admitted to the cardiac intensive care unit with acute decompensated heart failure and a severely elevated blood pressure. The client is receiving a continuous intravenous (IV) infusion of nitroglycerin currently running at 15 mcg/min15\text{ mcg/min}. The provider's prescription states: "Titrate nitroglycerin infusion upward by 5 mcg/min5\text{ mcg/min} every 5 minutes until systolic blood pressure is less than 140 mm Hg140\text{ mm Hg}." The pharmacy provides a premixed nitroglycerin solution of 50 mg50\text{ mg} in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5W). The client's blood pressure remains elevated, requiring exactly two dosage titrations over the next 10 minutes. What will the nurse set the IV infusion pump rate to in mL/hr\text{mL/hr} following the second titration? Record your answer as a number with one decimal place.

Show answer & explanation

Answer: 7.5

Answer

7.5
To solve this problem, multiple mathematical conversions are required to determine the final pump settings. First, determine the new dose: two titrations of 5 mcg/min5\text{ mcg/min} added to the baseline of 15 mcg/min15\text{ mcg/min} equals 25 mcg/min25\text{ mcg/min}. Next, convert this to an hourly rate because IV pumps run in mL/hr: 25 mcg/min×60 min/hr=1,500 mcg/hr25\text{ mcg/min} \times 60\text{ min/hr} = 1,500\text{ mcg/hr}. Then, determine the concentration of the supplied medication. Convert 50 mg50\text{ mg} to 50,000 mcg50,000\text{ mcg} so the units match the prescription, and divide by the total bag volume of 250 mL250\text{ mL} to find the concentration is 200 mcg/mL200\text{ mcg/mL}. Finally, divide the required hourly dose (1,500 mcg/hr1,500\text{ mcg/hr}) by the concentration (200 mcg/mL200\text{ mcg/mL}) to determine the correct IV pump rate of 7.5 mL/hr7.5\text{ mL/hr}.

Step-by-Step Solution

1
Calculate the new ordered dose after the required titrations.
25 mcg/min25\text{ mcg/min}
The rate starts at 15 mcg/min and increases by 5 mcg/min twice (total increase of 10 mcg/min).
2
Convert the new per-minute dosage to a per-hour dosage.
1,500 mcg/hr1,500\text{ mcg/hr}
IV infusion pumps are set in mL/hr, so the dose must reflect an hourly rate (25×6025 \times 60).
3
Convert the medication mass in the IV bag from milligrams to micrograms.
50,000 mcg50,000\text{ mcg}
The ordered dose is in micrograms, so the available medication must be in the same unit (50×1,00050 \times 1,000).
4
Determine the concentration of the nitroglycerin solution in mcg/mL.
200 mcg/mL200\text{ mcg/mL}
Dividing the total micrograms (50,00050,000) by the total volume (250 mL250\text{ mL}) gives the concentration.
5
Calculate the final IV pump rate in mL/hr.
7.5 mL/hr7.5\text{ mL/hr}
Dividing the required hourly dose (1,500 mcg/hr1,500\text{ mcg/hr}) by the concentration (200 mcg/mL200\text{ mcg/mL}) yields the volume needed per hour.

Key Concept

Continuous IV Infusion Titration and Weight-Independent Dose Calculations
Question 99Question →

An emergency department team is treating a client for a hypertensive emergency. The provider prescribes a continuous sodium nitroprusside infusion with instructions to begin at 0.3 mcg/kg/min0.3 \text{ mcg/kg/min} and titrate upward by 0.3 mcg/kg/min0.3 \text{ mcg/kg/min} every 5 minutes5 \text{ minutes} until the mean arterial pressure (MAP) falls below 100 mm Hg100 \text{ mm Hg}.

The client's admission weight is 231 lbs231 \text{ lbs}.
The pharmacy supplies a premixed IV bag containing 50 mg50 \text{ mg} of sodium nitroprusside in 250 mL250 \text{ mL} of 5%5\% dextrose in water (D5WD_5W).

The nurse initiates the infusion. Because the client's MAP remains consistently above 100 mm Hg100 \text{ mm Hg} during the initial monitoring period, the nurse performs exactly three protocol-directed upward titrations.

Determine the new IV pump rate in mL/hr\text{mL/hr} immediately following the third titration. Round your final answer to the nearest whole number.

Show answer & explanation

Answer: 38

Answer

38
To determine the correct IV pump rate for a weight-based titration, the nurse must first convert the weight to kilograms (231 lbs÷2.2=105 kg231 \text{ lbs} \div 2.2 = 105 \text{ kg}). Next, the new dose is calculated by adding the three titrations to the initial rate: 0.3+(3×0.3)=1.2 mcg/kg/min0.3 + (3 \times 0.3) = 1.2 \text{ mcg/kg/min}. This weight-based dose is multiplied by the client's weight (1.2×105=126 mcg/min1.2 \times 105 = 126 \text{ mcg/min}) and then converted to an hourly rate (126×60=7560 mcg/hr126 \times 60 = 7560 \text{ mcg/hr}). Finally, the hourly dose is divided by the bag concentration in matching units (50,000 mcg÷250 mL=200 mcg/mL50,000 \text{ mcg} \div 250 \text{ mL} = 200 \text{ mcg/mL}). The result (7560÷200=37.8 mL/hr7560 \div 200 = 37.8 \text{ mL/hr}) is rounded to the nearest whole number to get 38 mL/hr38 \text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
105 kg105 \text{ kg}
Weight-based dosing requires the client's weight in metric units (kg). Divide 231 lbs231 \text{ lbs} by 2.22.2.
2
Determine the new prescribed dose after three upward titrations.
1.2 mcg/kg/min1.2 \text{ mcg/kg/min}
The initial dose is 0.3 mcg/kg/min0.3 \text{ mcg/kg/min}. Each titration adds 0.3 mcg/kg/min0.3 \text{ mcg/kg/min}. Three titrations add 0.9 mcg/kg/min0.9 \text{ mcg/kg/min} to the baseline.
3
Calculate the total dose per minute based on the client's weight.
126 mcg/min126 \text{ mcg/min}
Multiply the weight-based dose (1.2 mcg/kg/min1.2 \text{ mcg/kg/min}) by the client's weight (105 kg105 \text{ kg}) to find the absolute per-minute dose.
4
Convert the per-minute dose to an hourly dose.
7560 mcg/hr7560 \text{ mcg/hr}
IV pumps are programmed in hours. Multiply the per-minute dose (126 mcg/min126 \text{ mcg/min}) by 6060 minutes.
5
Calculate the concentration of the medication in mcg/mL.
200 mcg/mL200 \text{ mcg/mL}
Convert 50 mg50 \text{ mg} to 50,000 mcg50,000 \text{ mcg}, then divide by the 250 mL250 \text{ mL} bag volume to align units with the ordered dose.
6
Calculate the required infusion volume per hour and round to the nearest whole number.
38 mL/hr38 \text{ mL/hr}
Divide the hourly dose (7560 mcg/hr7560 \text{ mcg/hr}) by the concentration (200 mcg/mL200 \text{ mcg/mL}) to get 37.8 mL/hr37.8 \text{ mL/hr}, which rounds to 3838.

Key Concept

Calculation and titration of weight-based continuous intravenous infusions (mcg/kg/min to mL/hr).
Question 100Question →

A client with severe acute respiratory distress syndrome (ARDS) is mechanically ventilated and requires continuous sedation. The healthcare provider prescribes a propofol infusion at 30 mcg/kg/min30 \text{ mcg/kg/min}. The client weighs 209 lb209 \text{ lb}. The pharmacy dispenses propofol 1,000 mg1,000 \text{ mg} in a 100 mL100 \text{ mL} lipid emulsion. What should the nurse set the infusion pump rate to in mL/hr\text{mL/hr}? Record your answer to the nearest whole number.

Show answer & explanation

Answer: 17

Answer

17
To determine the correct pump rate, the nurse must first convert the client's weight to kilograms (209÷2.2=95 kg209 \div 2.2 = 95 \text{ kg}). Next, calculate the total dose per minute (30×95=2,850 mcg/min30 \times 95 = 2,850 \text{ mcg/min}) and multiply by 6060 to find the hourly dose (171,000 mcg/hr171,000 \text{ mcg/hr}). Because the medication is dispensed in milligrams, convert the hourly dose from micrograms to milligrams (171,000÷1,000=171 mg/hr171,000 \div 1,000 = 171 \text{ mg/hr}). The concentration of the dispensed propofol is 1,000 mg÷100 mL=10 mg/mL1,000 \text{ mg} \div 100 \text{ mL} = 10 \text{ mg/mL}. Finally, divide the required hourly dose by the concentration (171÷10=17.1 mL/hr171 \div 10 = 17.1 \text{ mL/hr}) and round to the nearest whole number, resulting in 1717.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
209 lb÷2.2 lb/kg=95 kg209 \text{ lb} \div 2.2 \text{ lb/kg} = 95 \text{ kg}
Critical care continuous infusions are dosed based on the client's weight in kilograms.
2
Calculate the prescribed dose per minute.
30 mcg/kg/min×95 kg=2,850 mcg/min30 \text{ mcg/kg/min} \times 95 \text{ kg} = 2,850 \text{ mcg/min}
This determines the total amount of medication the client needs every minute.
3
Convert the per-minute dose to an hourly dose.
2,850 mcg/min×60 min/hr=171,000 mcg/hr2,850 \text{ mcg/min} \times 60 \text{ min/hr} = 171,000 \text{ mcg/hr}
Infusion pumps are programmed to deliver fluids in mL per hour.
4
Convert the hourly dose from micrograms to milligrams.
171,000 mcg/hr÷1,000 mcg/mg=171 mg/hr171,000 \text{ mcg/hr} \div 1,000 \text{ mcg/mg} = 171 \text{ mg/hr}
The dispensed medication concentration is provided in milligrams, not micrograms.
5
Determine the concentration of the propofol emulsion.
1,000 mg÷100 mL=10 mg/mL1,000 \text{ mg} \div 100 \text{ mL} = 10 \text{ mg/mL}
This establishes how many milligrams of propofol are in each milliliter of the fluid.
6
Calculate the infusion pump rate in mL/hr.
171 mg/hr÷10 mg/mL=17.1 mL/hr171 \text{ mg/hr} \div 10 \text{ mg/mL} = 17.1 \text{ mL/hr}
Dividing the required hourly dose by the concentration yields the required fluid volume rate.
7
Round the final answer to the nearest whole number.
17.117.1 rounds down to 1717.
Matches the rounding instructions provided in the question stem.

Key Concept

Weight-based continuous intravenous medication infusion calculations requiring multiple unit conversions
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