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Question 41Question →

A healthcare provider prescribes oral amoxicillin 500 mg500\text{ mg} every 88 hours for a client with a respiratory tract infection. The pharmacy dispenses an amoxicillin oral suspension labeled 250 mg/5 mL250\text{ mg}/5\text{ mL}. How many milliliters (mL) should the nurse administer for a single dose? (Record answer as a whole number.)

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Answer: 10

Answer

10
Using the standard dosage calculation formula DesiredHave×Volume\frac{\text{Desired}}{\text{Have}} \times \text{Volume}, the correct setup is 500 mg250 mg×5 mL\frac{500\text{ mg}}{250\text{ mg}} \times 5\text{ mL}. Dividing 500500 by 250250 results in 22. Multiplying 22 by the supplied volume of 5 mL5\text{ mL} gives a final administrable dose of 10 mL10\text{ mL}.

Step-by-Step Solution

1
Identify the known variables from the provider's prescription and the available medication supply.
Desired dose = 500 mg500\text{ mg}, Available dose (Have) = 250 mg250\text{ mg}, Volume = 5 mL5\text{ mL}.
Accurate identification of given numerical values is necessary before setting up the dosage calculation equation.
2
Set up the dosage calculation using the appropriate formula.
500 mg250 mg×5 mL\frac{500\text{ mg}}{250\text{ mg}} \times 5\text{ mL}
The standard formula for liquid medication calculation is DesiredHave×Volume\frac{\text{Desired}}{\text{Have}} \times \text{Volume}.
3
Perform the mathematical calculation to find the final administration volume.
2×5 mL=10 mL2 \times 5\text{ mL} = 10\text{ mL}.
Executing the calculation yields the exact volume of oral suspension the nurse needs to pour or draw up for one dose.

Key Concept

Liquid medication dosage calculation using the desired over have method.
Question 42Question →

A nurse is preparing to administer an oral suspension of amoxicillin to a pediatric client who weighs 3333 lb. The provider's prescription is for 2020 mg/kg/dose. What is the amount, in milligrams, the nurse should administer for a single dose? (Record your answer as a whole number.)

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Answer: 300

Answer

The nurse should administer 300 mg per dose.
To find the correct dose, the nurse must first convert the child's weight to kilograms by dividing by 2.22.2 (33÷2.2=1533 \div 2.2 = 15 kg). Then, the nurse multiplies the weight in kilograms by the prescribed dosage (15 kg×20 mg/kg=30015 \text{ kg} \times 20 \text{ mg/kg} = 300 mg). The required amount for a single dose is 300300 mg.

Step-by-Step Solution

1
Convert the client's weight from pounds (lb) to kilograms (kg).
33÷2.2=1533 \div 2.2 = 15 kg
Medical dosages based on weight are standardized using kilograms. Failing to convert pounds to kilograms will result in an overdose.
2
Calculate the total milligrams required for one dose.
$15 \text{ kg} \times 20 \text{ mg/kg} = 300 \text{ mg}
This determines the precise dose for the child based on their exact body mass.

Key Concept

Weight-based pediatric dosage calculations
Estimated Time:1m 0s
Question 43Question →

At exactly 11 minute following a spontaneous vaginal delivery, the attending nurse evaluates the newly born neonate. Assessment reveals an apical heart rate of 9696 beats per minute. The infant exhibits a slow and irregular breathing pattern. Musculoskeletal assessment demonstrates some flexion of the extremities. During the clearing of the airway with a bulb syringe, the neonate displays a grimace. Observation of the skin reveals a pink torso with distinct bluish discoloration of the hands and feet.

Calculate the newborn's 11-minute Apgar score.

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Answer: 5

Answer

The newborn's Apgar score is 5.
The Apgar score is a standardized assessment tool used at 11 and 55 minutes post-delivery to evaluate newborn transition. It evaluates five parameters (Appearance, Pulse, Grimace, Activity, and Respiration), each scored from 00 to 22. In this scenario, all five parameters reflect a score of 11, resulting in a total score of 55, indicating moderate difficulty transitioning to extrauterine life.

Step-by-Step Solution

1
Evaluate Appearance (Skin Color)
11 point
A pink torso with bluish hands and feet indicates acrocyanosis, which scores 11 point. A completely pink body would score 22 points, and a pale or completely cyanotic body would score 00.
2
Evaluate Pulse (Heart Rate)
11 point
The heart rate is 9696 beats per minute. A rate below 100100 bpm scores 11 point. A rate above 100100 bpm scores 22 points, and an absent pulse scores 00.
3
Evaluate Grimace (Reflex Irritability)
11 point
The neonate displays only a grimace in response to bulb suctioning. This scores 11 point. A vigorous cry or pulling away would score 22 points, while no response scores 00.
4
Evaluate Activity (Muscle Tone)
11 point
The infant shows some flexion of the extremities, which scores 11 point. Active, vigorous motion scores 22 points, and a flaccid or limp presentation scores 00.
5
Evaluate Respiration (Breathing Effort)
11 point
The breathing pattern is slow and irregular, which scores 11 point. A good, strong cry scores 22 points, and absent respirations score 00.
6
Calculate total score
55 points
Summing the points for all five categories (1+1+1+1+11 + 1 + 1 + 1 + 1) yields a total Apgar score of 55.

Key Concept

Apgar Scoring System
Question 44Question →

A client presents to the obstetric clinic for an initial prenatal visit. Her obstetrical history includes a previous miscarriage at 88 weeks gestation, a live birth of a daughter at 3838 weeks gestation, and a live birth of a son at 3535 weeks gestation. She is currently pregnant. What is the client's gravidity (G) score?

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Answer: 4

Answer

The client's total gravidity score is 4.
Gravidity (G) represents the total number of confirmed pregnancies a woman has had, regardless of the duration or outcome. This client has had a miscarriage, a term birth, a preterm birth, and is currently pregnant. Therefore, she has been pregnant a total of 44 times.

Step-by-Step Solution

1
Define gravidity in the GTPAL system.
Gravidity refers to the total number of pregnancies.
Establishing the correct definition prevents incorrectly categorizing pregnancies by their outcomes (like live births).
2
Count all previous pregnancies from the obstetrical history.
There are 33 previous pregnancies (miscarriage, term daughter, preterm son).
Every past conception must be counted exactly once.
3
Include the current pregnancy.
Total gravidity is 3+1=43 + 1 = 4.
The G score must reflect all pregnancies, including the one that brings the client to the clinic today.

Key Concept

Gravidity in Obstetrical History (GTPAL)
Estimated Time:45s
Question 45Question →

A nurse is caring for a client with a hypertensive crisis. The provider prescribes a continuous intravenous (IV) infusion of sodium nitroprusside at 3 mcg/kg/min3 \text{ mcg/kg/min}. The client weighs 176 lbs176 \text{ lbs}. The medication is supplied as 50 mg50 \text{ mg} of sodium nitroprusside in 250 mL250 \text{ mL} of 5% Dextrose5\% \text{ Dextrose} in water (D5WD_5W). At what rate should the nurse set the IV infusion pump in mL/hr\text{mL/hr}? (Round the answer to the nearest whole number.)

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Answer: 72

Answer

The correct infusion rate is 72 mL/hr.
To solve this calculation correctly, multiple conversions are required. First, the client's weight of 176 lbs176 \text{ lbs} is converted to 80 kg80 \text{ kg}. The total per-minute dose is 80 kg×3 mcg/kg/min=240 mcg/min80 \text{ kg} \times 3 \text{ mcg/kg/min} = 240 \text{ mcg/min}. This equals 14,400 mcg/hr14,400 \text{ mcg/hr} (240×60240 \times 60). Converting to milligrams gives 14.4 mg/hr14.4 \text{ mg/hr} (14,400÷1,00014,400 \div 1,000). The concentration of the supplied bag is 50 mg/250 mL=0.2 mg/mL50 \text{ mg} / 250 \text{ mL} = 0.2 \text{ mg/mL}. Dividing the hourly dose by the concentration (14.4÷0.214.4 \div 0.2) yields exactly 72 mL/hr72 \text{ mL/hr}.

Step-by-Step Solution

1
Convert weight to kilograms
176 lbs÷2.2 lbs/kg=80 kg176 \text{ lbs} \div 2.2 \text{ lbs/kg} = 80 \text{ kg}
The prescribed dose is weight-based in kg.
2
Calculate dose per minute
80 kg×3 mcg/kg/min=240 mcg/min80 \text{ kg} \times 3 \text{ mcg/kg/min} = 240 \text{ mcg/min}
To determine the total micrograms the client receives each minute.
3
Calculate dose per hour
240 mcg/min×60 min/hr=14,400 mcg/hr240 \text{ mcg/min} \times 60 \text{ min/hr} = 14,400 \text{ mcg/hr}
Infusion pumps are set in mL/hr, requiring an hourly dose.
4
Convert dose to milligrams
14,400 mcg/hr÷1,000 mcg/mg=14.4 mg/hr14,400 \text{ mcg/hr} \div 1,000 \text{ mcg/mg} = 14.4 \text{ mg/hr}
The supplied medication is measured in milligrams, so the units must match.
5
Calculate the infusion rate in mL/hr
14.4 mg/hr÷(50 mg/250 mL)=14.4 mg/hr÷0.2 mg/mL=72 mL/hr14.4 \text{ mg/hr} \div (50 \text{ mg} / 250 \text{ mL}) = 14.4 \text{ mg/hr} \div 0.2 \text{ mg/mL} = 72 \text{ mL/hr}
To find the final volume to be infused per hour based on the drug's concentration.

Key Concept

Weight-based continuous intravenous (IV) infusion calculations requiring multi-step unit conversions.
Question 46Question →

A nurse is caring for a client with cardiogenic shock who weighs 176 lbs176 \text{ lbs}. The healthcare provider prescribes a continuous intravenous (IV) infusion of dopamine at 5 mcg/kg/min5 \text{ mcg/kg/min}. The pharmacy dispenses a premixed dopamine solution of 400 mg400 \text{ mg} in 250 mL250 \text{ mL} of 5% dextrose in water5\% \text{ dextrose in water} (D5W). What rate should the nurse program the IV infusion pump to deliver the prescribed dose? Record your answer as a whole number.

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Answer: 15

Answer

15 mL/hr
The precise infusion rate required is 15 mL/hr15 \text{ mL/hr}. This setting accurately delivers 5 mcg/kg/min5 \text{ mcg/kg/min} of dopamine to an 80 kg80 \text{ kg} client, given the supplied medication concentration of 1.6 mg/mL1.6 \text{ mg/mL} (400 mg400 \text{ mg} in 250 mL250 \text{ mL}).

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
176 lbs÷2.2=80 kg176 \text{ lbs} \div 2.2 = 80 \text{ kg}
The medication dosage is prescribed based on kilograms of body weight.
2
Calculate the required continuous dose of dopamine per minute.
80 kg×5 mcg/kg/min=400 mcg/min80 \text{ kg} \times 5 \text{ mcg/kg/min} = 400 \text{ mcg/min}
To determine the exact amount of medication the specific client needs every minute.
3
Convert the calculated per-minute dose to a per-hour dose.
400 mcg/min×60 min/hr=24,000 mcg/hr400 \text{ mcg/min} \times 60 \text{ min/hr} = 24,000 \text{ mcg/hr}
Standard IV infusion pumps are programmed in milliliters per hour, so the dose must be matched to an hourly timeframe.
4
Convert the hourly dose from micrograms to milligrams.
24,000 mcg/hr÷1,000 mcg/mg=24 mg/hr24,000 \text{ mcg/hr} \div 1,000 \text{ mcg/mg} = 24 \text{ mg/hr}
The dispensed IV bag concentration is provided in milligrams (400 mg400 \text{ mg}); matching units are required before the volume calculation.
5
Calculate the required fluid volume to deliver the hourly dose.
24 mg400 mg×250 mL=15 mL/hr\frac{24 \text{ mg}}{400 \text{ mg}} \times 250 \text{ mL} = 15 \text{ mL/hr}
This uses the formula: (Desired Dose / Amount on Hand) × Volume to find the final pump rate.

Key Concept

Weight-based continuous intravenous medication calculations.
Question 47Question →

A nurse is evaluating a newborn at 11 minute after birth. The nurse notes the following findings: heart rate is 114114 beats/min; the newborn has a weak, irregular cry; arms and legs are flaccid; the newborn grimaces when the nares are suctioned; and the trunk is pink with cyanotic hands and feet.

Calculate the newborn's 11-minute Apgar score.

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Answer: 5

Answer

5
The Apgar score evaluates five parameters on a scale of 00 to 22. For this newborn: Heart rate >100>100 is 22; weak cry is 11; flaccid tone is 00; grimace is 11; and acrocyanosis is 11. The total calculated score is 55.

Step-by-Step Solution

1
Assess Heart Rate
2 points
The heart rate is 114114 beats/min, which is greater than 100100 beats/min.
2
Assess Respiratory Effort
1 point
The newborn exhibits a weak, irregular cry rather than a strong, vigorous cry.
3
Assess Muscle Tone
0 points
The newborn's arms and legs are flaccid, showing no flexion or active movement.
4
Assess Reflex Irritability
1 point
The newborn only grimaces in response to suctioning, rather than pulling away, coughing, or sneezing.
5
Assess Color
1 point
The newborn has a pink trunk with cyanotic extremities, which is classified as acrocyanosis.
6
Calculate Total Score
5
Sum the points from all five Apgar categories: 2+1+0+1+1=52 + 1 + 0 + 1 + 1 = 5.

Key Concept

Apgar Scoring System
Question 48Question →

A healthcare provider orders haloperidol 5 mg5\text{ mg} intramuscularly for an agitated adult client. The pharmacy dispenses a multi-dose vial labeled haloperidol 2 mg/mL2\text{ mg/mL}. How many  mL\text{ mL} should the nurse draw up to administer the correct dose? Record your answer using one decimal place.

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Answer: 2.5

Answer

2.5
Using the standard formula of (Desired / Have) × Volume, dividing the prescribed 5 mg5\text{ mg} by the available concentration of 2 mg2\text{ mg} yields exactly 2.5 mL2.5\text{ mL}.

Step-by-Step Solution

1
Identify the standard formula for liquid medication calculations.
Formula: DesiredHave×Volume\frac{\text{Desired}}{\text{Have}} \times \text{Volume}
This standard formula ensures accurate conversion from the prescribed mass to the required physical volume.
2
Extract the given values from the prescription and the medication label.
Desired = 5 mg5\text{ mg}; Have = 2 mg2\text{ mg}; Volume = 1 mL1\text{ mL}.
Mapping the known values correctly into the formula prevents fundamental calculation errors.
3
Substitute the values into the formula and solve the equation.
5 mg2 mg×1 mL=2.5 mL\frac{5\text{ mg}}{2\text{ mg}} \times 1\text{ mL} = 2.5\text{ mL}.
Dividing 55 by 22 yields exactly 2.52.5, which represents the correct volume in mL\text{mL}.

Key Concept

Basic Parenteral Medication Dosage Calculation
Question 49Question →

A pediatric client weighing 48.4 lb48.4\text{ lb} is prescribed a continuous intravenous (IV) infusion of fentanyl at 2 \mug/kg/hr2\text{ \mu g/kg/hr} for pain management. The pharmacy dispenses an IV bag containing 500 \mug500\text{ \mu g} of fentanyl in 100 mL100\text{ mL} of 0.9%0.9\% sodium chloride. At what rate, in mL/hr\text{mL/hr}, should the nurse set the IV infusion pump? Record your answer using one decimal place.

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Answer: 8.8

Answer

8.8
To determine the correct IV infusion rate, the nurse must first convert the client's weight to kilograms (48.4 lb÷2.2=22 kg48.4 \text{ lb} \div 2.2 = 22 \text{ kg}). Next, calculate the hourly dose by multiplying the weight by the prescribed rate (22 kg×2 \mug/kg/hr=44 \mug/hr22 \text{ kg} \times 2 \text{ \mu g/kg/hr} = 44 \text{ \mu g/hr}). Finally, divide the required hourly dose by the concentration of the supplied medication (500 \mug÷100 mL=5 \mug/mL500 \text{ \mu g} \div 100 \text{ mL} = 5 \text{ \mu g/mL}) to find the pump rate in mL/hr (44 \mug/hr÷5 \mug/mL=8.8 mL/hr44 \text{ \mu g/hr} \div 5 \text{ \mu g/mL} = 8.8 \text{ mL/hr}).

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
22 kg
The prescribed medication dose is weight-based in kilograms, so the weight must be converted first.
2
Calculate the total hourly dose required in micrograms.
44μg/hr44 \mu g/hr
To determine the exact amount of active medication the client needs per hour based on their weight.
3
Determine the concentration of the dispensed fentanyl solution.
5μg/mL5 \mu g/mL
To find out how many micrograms of fentanyl are contained in each milliliter of the IV fluid.
4
Calculate the final IV infusion pump rate.
8.8 mL/hr
To determine the precise volume of fluid to administer per hour to safely deliver the required dose.

Key Concept

Weight-based intravenous continuous infusion calculation
Question 50Question →

A client diagnosed with septic shock is admitted to the intensive care unit and remains profoundly hypotensive despite adequate fluid resuscitation. The healthcare provider orders a continuous intravenous infusion of norepinephrine. The client's weight is 198 lb198\text{ lb}. The order indicates starting the infusion at 0.1 mcg/kg/min0.1\text{ mcg/kg/min}. The medication arrives from the pharmacy as a premixed solution containing 8 mg8\text{ mg} of norepinephrine in 250 mL250\text{ mL} of 5% dextrose in water (D5W\text{D}_5\text{W}). At what rate should the nurse program the infusion pump? Record your answer in mL/hr\text{mL/hr} rounded to the nearest tenth.

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Answer: 16.9

Answer

16.9
The correct pump rate is found by converting the client's weight to kilograms, finding the total hourly dose in micrograms (540 mcg/hr540\text{ mcg/hr}), and dividing that by the concentration of the IV solution (32 mcg/mL32\text{ mcg/mL}), which yields 16.87516.875, rounded to 16.9 mL/hr16.9\text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
198÷2.2=90 kg198 \div 2.2 = 90\text{ kg}
The prescribed medication dosage is based on the client's weight in kilograms.
2
Calculate the required medication dose per minute.
90 kg×0.1 mcg/kg/min=9 mcg/min90\text{ kg} \times 0.1\text{ mcg/kg/min} = 9\text{ mcg/min}
To determine the total amount of medication the client must receive every minute based on their weight.
3
Convert the per-minute dose to an hourly dose.
9 mcg/min×60 min/hr=540 mcg/hr9\text{ mcg/min} \times 60\text{ min/hr} = 540\text{ mcg/hr}
Intravenous infusion pumps are programmed in milliliters per hour, so the dose must be calculated over an hour.
4
Determine the concentration of the intravenous solution in micrograms per milliliter.
8 mg×1000=8000 mcg8\text{ mg} \times 1000 = 8000\text{ mcg}; 8000 mcg÷250 mL=32 mcg/mL8000\text{ mcg} \div 250\text{ mL} = 32\text{ mcg/mL}
To align the units of the prescribed dose (micrograms) with the available concentration.
5
Calculate the final infusion pump rate in milliliters per hour.
540 mcg/hr÷32 mcg/mL=16.875 mL/hr540\text{ mcg/hr} \div 32\text{ mcg/mL} = 16.875\text{ mL/hr}
Dividing the hourly dose by the concentration provides the volume of fluid to be infused per hour.
6
Round the final answer to the nearest tenth.
16.9 mL/hr16.9\text{ mL/hr}
This is standard clinical practice and matches the specific instruction in the question.

Key Concept

Weight-based critical care intravenous medication rate calculation
Question 51Question →

A critical care nurse is managing a client with severe decompensated heart failure. The client has an admission weight of 184.8 lbs184.8 \text{ lbs}.

The provider's prescription reads:
- Initiate dobutamine continuous IV infusion at 2.5 mcg/kg/min2.5 \text{ mcg/kg/min}.
- Titrate upward by 2.5 mcg/kg/min2.5 \text{ mcg/kg/min} every 15 minutes15 \text{ minutes} until mean arterial pressure (MAP) >65 mm Hg> 65 \text{ mm Hg}, up to a maximum dose of 20 mcg/kg/min20 \text{ mcg/kg/min}.

The pharmacy dispenses a customized dobutamine solution containing 1,000 mg1,000 \text{ mg} of dobutamine in 250 mL250 \text{ mL} of 5%5\% dextrose in water (D5W). A dedicated central venous catheter port is used for the infusion, alongside a separate line of 0.9%0.9\% sodium chloride running at 20 mL/hr20 \text{ mL/hr}.

After initiating the infusion, the nurse performs exactly three upward titrations over the next 45 minutes45 \text{ minutes} before the client's MAP stabilizes at 72 mm Hg72 \text{ mm Hg}.

What is the dobutamine infusion pump rate in mL/hr\text{mL/hr} at this effective dose? (Record your answer to the nearest tenth.)

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Answer: 12.6

Answer

The current dobutamine infusion pump rate is 12.6 mL/hr12.6 \text{ mL/hr}.
The client's weight of 184.8 lbs184.8 \text{ lbs} converts to 84 kg84 \text{ kg}. The initial dobutamine dose of 2.5 mcg/kg/min2.5 \text{ mcg/kg/min} was titrated upward three times by increments of 2.5 mcg/kg/min2.5 \text{ mcg/kg/min}, bringing the final effective dose to 10 mcg/kg/min10 \text{ mcg/kg/min}. Multiplying this dose by the client's weight (84 kg84 \text{ kg}) yields a total of 840 mcg/min840 \text{ mcg/min}, which equals 50,400 mcg/hr50,400 \text{ mcg/hr} when multiplied by 60 minutes60 \text{ minutes}. Converting this hourly dose to milligrams (50,400÷1,00050,400 \div 1,000) gives 50.4 mg/hr50.4 \text{ mg/hr}. The pharmacy provided a concentration of 1,000 mg1,000 \text{ mg} in 250 mL250 \text{ mL}, meaning the solution has 4 mg4 \text{ mg} of dobutamine per 1 mL1 \text{ mL}. Dividing the required hourly dose (50.4 mg/hr50.4 \text{ mg/hr}) by the concentration (4 mg/mL4 \text{ mg/mL}) yields the correct infusion pump rate of 12.6 mL/hr12.6 \text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
84 kg84 \text{ kg}
Critical care weight-based medication dosages are always calculated using the client's weight in kilograms (184.8÷2.2=84184.8 \div 2.2 = 84).
2
Determine the final dobutamine dosage after the three upward titrations.
10 mcg/kg/min10 \text{ mcg/kg/min}
The protocol started at 2.5 mcg/kg/min2.5 \text{ mcg/kg/min} and was increased three times by 2.5 mcg/kg/min2.5 \text{ mcg/kg/min} each time. Total dose = 2.5+(3×2.5)=10 mcg/kg/min2.5 + (3 \times 2.5) = 10 \text{ mcg/kg/min}.
3
Calculate the total required dose in micrograms per minute.
840 mcg/min840 \text{ mcg/min}
Multiplying the weight-based dose by the client's actual weight in kilograms determines the exact per-minute requirement (10 mcg/kg/min×84 kg=840 mcg/min10 \text{ mcg/kg/min} \times 84 \text{ kg} = 840 \text{ mcg/min}).
4
Convert the per-minute dosage to an hourly dosage.
50,400 mcg/hr50,400 \text{ mcg/hr}
Intravenous infusion pumps are programmed in mL per hour, requiring the medication dose to be scaled to an hourly rate (840 mcg/min×60 min/hr=50,400 mcg/hr840 \text{ mcg/min} \times 60 \text{ min/hr} = 50,400 \text{ mcg/hr}).
5
Determine the concentration of the dobutamine solution provided by the pharmacy.
4,000 mcg/mL4,000 \text{ mcg/mL} (or 4 mg/mL4 \text{ mg/mL})
The IV bag contains 1,000 mg1,000 \text{ mg} in 250 mL250 \text{ mL}, which simplifies to 4 mg/mL4 \text{ mg/mL}. To match the hourly dose units, convert mg to mcg: 4 mg/mL×1,000 mcg/mg=4,000 mcg/mL4 \text{ mg/mL} \times 1,000 \text{ mcg/mg} = 4,000 \text{ mcg/mL}.
6
Calculate the final infusion pump rate in mL/hr.
12.6 mL/hr12.6 \text{ mL/hr}
Dividing the total hourly dose by the fluid concentration yields the volume required per hour (50,400 mcg/hr÷4,000 mcg/mL=12.6 mL/hr50,400 \text{ mcg/hr} \div 4,000 \text{ mcg/mL} = 12.6 \text{ mL/hr}).

Key Concept

Advanced parenteral medication titration and complex weight-based dose calculation

Alternative Method

Using dimensional analysis to solve in a single equation:
10 mcgkg⋅min×84 kg1×60 min1 hr×1 mg1,000 mcg×250 mL1,000 mg=12.6 mL/hr \frac{10 \text{ mcg}}{\text{kg} \cdot \text{min}} \times \frac{84 \text{ kg}}{1} \times \frac{60 \text{ min}}{1 \text{ hr}} \times \frac{1 \text{ mg}}{1,000 \text{ mcg}} \times \frac{250 \text{ mL}}{1,000 \text{ mg}} = 12.6 \text{ mL/hr}
Estimated Time:4m 0s
Question 52Question →

A nurse is caring for a client who is admitted with a deep vein thrombosis (DVT). The healthcare provider prescribes a continuous intravenous (IV) infusion of heparin at a rate of 1818 units/kg/hr. The client weighs 176176 lb. The pharmacy provides an IV bag containing 25,00025,000 units of heparin mixed in 250250 mL of 5%5\% dextrose in water (D5W). At what rate, in mL/hr, should the nurse set the IV infusion pump? (Round the answer to the nearest tenth.)

Show answer & explanation

Answer: 14.4

Answer

14.4
To find the correct infusion rate, the nurse must first convert the client's weight to kilograms (176 lb÷2.2=80 kg176 \text{ lb} \div 2.2 = 80 \text{ kg}). Next, the weight is multiplied by the prescribed dose to find the hourly requirement (80 kg×18 units/kg/hr=1,440 units/hr80 \text{ kg} \times 18 \text{ units/kg/hr} = 1,440 \text{ units/hr}). Finally, using the available concentration (25,000 units÷250 mL=100 units/mL25,000 \text{ units} \div 250 \text{ mL} = 100 \text{ units/mL}), the nurse calculates the volume needed per hour (1,440 units/hr÷100 units/mL=14.4 mL/hr1,440 \text{ units/hr} \div 100 \text{ units/mL} = 14.4 \text{ mL/hr}). The final answer is exactly 14.414.4, which requires no further rounding.

Step-by-Step Solution

1
Convert the client's weight from pounds (lb) to kilograms (kg).
8080 kg
The heparin prescription is weight-based in kg, so the given weight in pounds must be converted using the standard factor 1 kg=2.2 lb1 \text{ kg} = 2.2 \text{ lb}.
2
Calculate the total hourly dose of heparin required in units.
1,4401,440 units/hr
Multiplying the client's weight in kg by the prescribed dose per kg gives the total hourly requirement: 80 kg×18 units/kg/hr80 \text{ kg} \times 18 \text{ units/kg/hr}.
3
Determine the concentration of the available heparin solution.
100100 units/mL
Dividing the total units in the bag by the total volume yields the amount of medication in a single mL: 25,000 units÷250 mL25,000 \text{ units} \div 250 \text{ mL}.
4
Calculate the final IV infusion pump rate in mL/hr.
14.414.4 mL/hr
Dividing the required hourly dose by the solution concentration gives the volume needed per hour: 1,440 units/hr÷100 units/mL1,440 \text{ units/hr} \div 100 \text{ units/mL}.

Key Concept

Weight-based intravenous medication dosage calculation and continuous infusion pump programming.
Question 53Question →

A triage nurse in the obstetrical unit is preparing to administer a magnesium sulfate bolus to a gravid client admitted with severe preeclampsia. The provider orders a loading dose of 4 g4 \text{ g} of magnesium sulfate to be infused intravenously over 20 minutes20 \text{ minutes}. The medication is supplied by the pharmacy as a premixed 500 mL500 \text{ mL} bag of 0.9% normal saline containing 20 g20 \text{ g} of magnesium sulfate. What should the nurse set the intravenous infusion pump rate to in mL/hr\text{mL/hr}? Record your answer as a whole number.

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Answer: 300

Answer

300
The correct pump setting is 300 mL/hr300 \text{ mL/hr}. The nurse first determines that the prescribed 4 g4 \text{ g} dose is contained in 100 mL100 \text{ mL} of the supplied solution. Because this 100 mL100 \text{ mL} volume must infuse over 20 minutes20 \text{ minutes}, the nurse calculates the hourly rate by dividing the volume by the time in minutes and multiplying by 60 minutes per hour (100/20×60=300100 / 20 \times 60 = 300).

Step-by-Step Solution

1
Identify the total volume and total mass of the supplied medication to find the concentration.
There are 20 g20 \text{ g} in 500 mL500 \text{ mL}, which simplifies to 1 g1 \text{ g} of magnesium sulfate per 25 mL25 \text{ mL} of fluid.
This determines how many mL of the IV fluid contain the prescribed loading dose.
2
Calculate the volume needed for the prescribed loading dose of 4 g4 \text{ g}.
4 g×25 mL/g=100 mL4 \text{ g} \times 25 \text{ mL/g} = 100 \text{ mL}.
This is the total volume of fluid that must be infused to deliver exactly 4 g4 \text{ g} of the medication to the client.
3
Convert the infusion time from minutes to hours to determine the IV pump setting.
The target is 100 mL100 \text{ mL} to be infused in 20 minutes20 \text{ minutes}. To find the hourly rate: (100 mL/20 minutes)×60 minutes/hr=300 mL/hr(100 \text{ mL} / 20 \text{ minutes}) \times 60 \text{ minutes/hr} = 300 \text{ mL/hr}.
Intravenous infusion pumps must be programmed in mL/hr\text{mL/hr}.

Key Concept

Intravenous Medication Calculations for High-Risk Obstetrics
Estimated Time:2m 0s
Question 54Question →

A nurse is caring for a client with acute decompensated heart failure who is prescribed a continuous intravenous infusion of dobutamine at 5 mcg/kg/min5\text{ mcg/kg/min}. The client weighs 187 lbs187\text{ lbs}. The pharmacy provides dobutamine as 500 mg500\text{ mg} mixed in 250 mL250\text{ mL} of 5% dextrose in water5\%\text{ dextrose in water} (D5W). How many mL/hr\text{mL/hr} should the nurse set the infusion pump to deliver? (Record your answer to the nearest tenth.)

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Answer: 12.8

Answer

12.8
To determine the correct infusion pump setting in mL/hr\text{mL/hr}, the nurse must perform a multi-step calculation involving unit conversions for both weight (pounds to kilograms) and time (minutes to hours). After establishing that the client needs 25.5 mg25.5\text{ mg} of dobutamine every hour, dividing by the concentration of the IV bag (2 mg/mL2\text{ mg/mL}) provides the accurate volume of 12.75 mL/hr12.75\text{ mL/hr}, which rounds to 12.8 mL/hr12.8\text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
187÷2.2=85 kg187 \div 2.2 = 85\text{ kg}
The medication dosage is prescribed based on kilograms of body weight.
2
Calculate the per-minute dobutamine dose for this specific client.
85 kg×5 mcg/kg/min=425 mcg/min85\text{ kg} \times 5\text{ mcg/kg/min} = 425\text{ mcg/min}
This establishes the exact amount of medication the client needs to receive every minute.
3
Convert the minute dose to an hourly dose.
425 mcg/min×60 min/hr=25,500 mcg/hr425\text{ mcg/min} \times 60\text{ min/hr} = 25,500\text{ mcg/hr}
Intravenous infusion pumps are programmed in milliliters per hour, so the dose must reflect an hourly rate.
4
Convert the hourly dose from micrograms to milligrams.
25,500 mcg/hr÷1000 mcg/mg=25.5 mg/hr25,500\text{ mcg/hr} \div 1000\text{ mcg/mg} = 25.5\text{ mg/hr}
The supplied medication from the pharmacy is measured in milligrams, so the units must match.
5
Calculate the concentration of the provided IV bag.
500 mg÷250 mL=2 mg/mL500\text{ mg} \div 250\text{ mL} = 2\text{ mg/mL}
This determines how many milligrams of dobutamine are in each milliliter of the IV fluid.
6
Determine the final infusion rate in mL/hr.
25.5 mg/hr÷2 mg/mL=12.75 mL/hr25.5\text{ mg/hr} \div 2\text{ mg/mL} = 12.75\text{ mL/hr}
Dividing the required hourly medication dose by the medication concentration yields the fluid volume needed per hour.
7
Round the final value to the nearest tenth as instructed.
12.8 mL/hr12.8\text{ mL/hr}
Standard rounding rules dictate that a 5 in the hundredths place rounds the tenths place up.

Key Concept

Weight-based continuous intravenous infusion dosage calculation requiring conversion between units of mass and time.
Question 55Question →

A nurse is caring for a client with a pulmonary embolism who requires a continuous IV infusion of heparin. The client's weight is 176 lbs176\text{ lbs}. The healthcare provider prescribes heparin at a rate of 18 units/kg/hr18\text{ units/kg/hr}. The available medication is heparin sodium 25,000 units25,000\text{ units} in 250 mL250\text{ mL} of 0.9%0.9\% sodium chloride. What rate should the nurse program into the infusion pump in mL/hr\text{mL/hr}? Record your answer using one decimal place.

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Answer: 14.4

Answer

14.4
The correct infusion rate of 14.4 mL/hr14.4\text{ mL/hr} is achieved by first converting the client's weight to 80 kg80\text{ kg}. Next, the weight is multiplied by the prescribed 18 units/kg/hr18\text{ units/kg/hr} to find an hourly dose of 1,440 units/hr1,440\text{ units/hr}. Finally, since the IV bag concentration is 100 units/mL100\text{ units/mL} (derived from 25,000 units/250 mL25,000\text{ units} / 250\text{ mL}), dividing the hourly dose by the concentration yields the correct pump setting.

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 medication is prescribed in units per kilogram, requiring a weight conversion to metric units.
2
Calculate the hourly dose of heparin in units.
80 kg×18 units/kg/hr=1,440 units/hr80\text{ kg} \times 18\text{ units/kg/hr} = 1,440\text{ units/hr}
This determines the exact amount of active medication the client needs every hour based on their body weight.
3
Calculate the infusion pump rate in mL/hr.
1,440 units/hr÷100 units/mL=14.4 mL/hr1,440\text{ units/hr} \div 100\text{ units/mL} = 14.4\text{ mL/hr}
The concentration is 25,000 units÷250 mL=100 units/mL25,000\text{ units} \div 250\text{ mL} = 100\text{ units/mL}. Dividing the hourly dose by the concentration provides the volume to be infused per hour.

Key Concept

Weight-based continuous intravenous infusion calculation
Question 56Question →

A nurse is caring for a client who is prescribed a continuous intravenous (IV) infusion of 1,0001,000 mL of 0.9%0.9\% sodium chloride to infuse over 88 hours. The nurse should set the IV infusion pump to deliver how many mL/hr? (Record answer as a whole number. Do not use a trailing zero.)

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Answer: 125

Answer

125
To determine the correct setting for an IV infusion pump, the nurse must calculate the hourly rate. This is achieved by dividing the total volume of fluid to be infused (1,0001,000 mL) by the total duration of the infusion in hours (88 hours). Therefore, 1000÷8=1251000 \div 8 = 125 mL/hr.

Step-by-Step Solution

1
Identify the given parameters for the infusion.
Total Volume = 1,0001,000 mL; Total Time = 88 hours.
These variables are required to calculate the standard IV pump rate.
2
Apply the IV pump rate formula.
1000 mL8 hours=125 mL/hr\frac{1000 \text{ mL}}{8 \text{ hours}} = 125 \text{ mL/hr}.
IV infusion pumps deliver fluids at an hourly rate, calculated by dividing total volume by total hours.

Key Concept

Basic intravenous infusion rate calculation for continuous fluids.
Question 57Question →

An intensive care nurse is preparing to initiate a continuous intravenous infusion of milrinone for a client experiencing cardiogenic shock.

The client's admission weight is 8080 kg. The prescribed dose is 0.50.5 mcg/kg/min. The pharmacy has provided a premixed bag containing 2020 mg of milrinone in 100100 mL of 5%5\% dextrose in water (D5WD_5W).

Calculate the required infusion pump setting in mL/hr. (Record your answer as a whole number).

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Answer: 12

Answer

12
The correct infusion rate is 12 mL/hr, determined by first calculating the total required hourly dose based on weight (2.4 mg/hr) and dividing it by the concentration of the prepared medication (0.2 mg/mL).

Step-by-Step Solution

1
Calculate the per-minute dose required.
4040 mcg/min
Multiplying the prescribed dose (0.50.5 mcg/kg/min) by the client's weight (8080 kg) gives the total amount needed per minute.
2
Convert the per-minute dose to an hourly dose.
24002400 mcg/hr
Infusion pumps deliver fluid in mL per hour, so the required rate must reflect an hourly time frame (40×6040 \times 60).
3
Convert the dose from micrograms to milligrams.
2.42.4 mg/hr
The available medication is measured in milligrams, requiring unit alignment before calculating the required volume.
4
Determine the concentration of the available solution.
0.20.2 mg/mL
Dividing the total drug amount (2020 mg) by the total volume (100100 mL) establishes how much medication is in each milliliter.
5
Calculate the final infusion rate.
1212 mL/hr
Dividing the required hourly dose (2.42.4 mg/hr) by the concentration (0.20.2 mg/mL) yields the final volume per hour to program into the pump.

Key Concept

Weight-based intravenous infusion pump rate calculation for critical care medications.
Question 58Question →

A client admitted with cardiogenic shock requires hemodynamic support. The healthcare provider prescribes a continuous intravenous infusion of dobutamine at 2.72.7 mcg/kg/min. The client's most recent weight is 209209 lbs. The pharmacy dispenses a premixed IV bag containing dobutamine 500500 mg in 250250 mL of 5%5\% dextrose in water. Calculate the appropriate infusion pump rate in mL/hr. (Round the final answer to the nearest tenth.)

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Answer: 7.7

Answer

The infusion pump should be set to 7.7 mL/hr.
The correct infusion rate is calculated by first determining the client's weight in kilograms (209÷2.2=95209 \div 2.2 = 95 kg). The total minute dose is found by multiplying the weight by the ordered dose (95×2.7=256.595 \times 2.7 = 256.5 mcg/min). This minute dose is then multiplied by 6060 to find the hourly dose (256.5×60=15,390256.5 \times 60 = 15,390 mcg/hr). Because the supplied medication is in milligrams, the hourly dose must be converted (15,390÷1,000=15.3915,390 \div 1,000 = 15.39 mg/hr). The concentration of the supplied IV bag is 22 mg/mL (500500 mg ÷250\div 250 mL). Dividing the required hourly dose by the concentration provides the pump rate (15.39÷2=7.69515.39 \div 2 = 7.695 mL/hr). Finally, rounding 7.6957.695 to the nearest tenth yields 7.77.7 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 dosage is prescribed based on kilograms of body weight.
2
Calculate the prescribed dose per minute.
95 kg×2.7 mcg/kg/min=256.5 mcg/min95 \text{ kg} \times 2.7 \text{ mcg/kg/min} = 256.5 \text{ mcg/min}
To determine the total amount of dobutamine the client requires each minute.
3
Convert the dose per minute to the dose per hour.
256.5 mcg/min×60 min/hr=15,390 mcg/hr256.5 \text{ mcg/min} \times 60 \text{ min/hr} = 15,390 \text{ mcg/hr}
Intravenous infusion pumps are programmed in hourly rates (mL/hr).
4
Convert the hourly dose from micrograms (mcg) to milligrams (mg).
15,390 mcg÷1,000 mcg/mg=15.39 mg/hr15,390 \text{ mcg} \div 1,000 \text{ mcg/mg} = 15.39 \text{ mg/hr}
The medication provided by the pharmacy is measured in milligrams, so units must match.
5
Determine the concentration of the provided intravenous solution.
500 mg÷250 mL=2 mg/mL500 \text{ mg} \div 250 \text{ mL} = 2 \text{ mg/mL}
To identify how many milligrams of dobutamine are contained in each milliliter of the fluid.
6
Calculate the final volume to be infused per hour and round to the nearest tenth.
15.39 mg/hr÷2 mg/mL=7.695 mL/hr15.39 \text{ mg/hr} \div 2 \text{ mg/mL} = 7.695 \text{ mL/hr}, which rounds to 7.7 mL/hr7.7 \text{ mL/hr}
Dividing the required hourly dose by the fluid concentration yields the final pump setting.

Key Concept

Weight-based continuous intravenous medication titration requires converting client weight to kilograms, establishing an hourly dosage rate, and applying the supplied medication concentration to determine the final pump setting.
Question 59Question →

A critical care nurse is managing a client with severe sepsis. The client is receiving a continuous intravenous infusion of norepinephrine.

Client Data:
- Weight: 220220 lb
- Current mean arterial pressure (MAP): 5454 mm Hg
- Current infusion pump rate: 1818 mL/hr
- Medication concentration: Norepinephrine 88 mg in 250250 mL 5%5\% Dextrose in Water (D5W)
- Provider titration protocol: "Increase norepinephrine by 0.040.04 mcg/kg/min every 55 minutes until MAP is ≥65\geq 65 mm Hg."

The nurse determines the need to increase the infusion rate according to the protocol. What should be the newly programmed infusion pump rate in mL/hr?

*Round the final answer to the nearest tenth.*

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Answer: 25.5

Answer

The new infusion pump rate should be set to 25.5 mL/hr.
To find the new pump rate, the nurse must first determine how much extra volume per hour is needed to satisfy the 0.040.04 mcg/kg/min increase. By converting the client's weight to 100100 kg, the required dose increase is 44 mcg/min, which equals 240240 mcg/hr. Using the bag concentration of 3232 mcg/mL, the required volume increase is 7.57.5 mL/hr. Adding this to the baseline rate of 1818 mL/hr yields the final correct rate of 25.525.5 mL/hr.

Step-by-Step Solution

1
Convert weight to kilograms.
220220 lb / 2.22.2 = 100100 kg.
Weight-based dosing requires the client's weight in kg.
2
Calculate the dose increment per minute.
0.040.04 mcg/kg/min * 100100 kg = 44 mcg/min.
This determines how much additional medication the client needs every minute based on the protocol.
3
Convert the dose increment to an hourly rate.
44 mcg/min * 6060 min/hr = 240240 mcg/hr.
Infusion pumps are programmed in mL/hr, so the dose must be expressed per hour.
4
Determine the concentration of the IV bag in mcg/mL.
88 mg = 80008000 mcg. 80008000 mcg / 250250 mL = 3232 mcg/mL.
Medication is ordered in mcg, but supplied in mg. Both units must match to find the volume.
5
Calculate the volume increment in mL/hr.
240240 mcg/hr / 3232 mcg/mL = 7.57.5 mL/hr.
This isolates the exact amount of fluid needed to deliver the required increase in medication.
6
Add the volume increment to the current infusion rate.
1818 mL/hr + 7.57.5 mL/hr = 25.525.5 mL/hr.
The protocol requires increasing the current rate, not replacing it with only the increment.

Key Concept

Advanced medication titration requires calculating the incremental dose increase based on weight and concentration, then accurately adding that newly calculated volume rate to the baseline continuous infusion rate.
Question 60Question →

A healthcare provider prescribes an intravenous infusion of dopamine for a client diagnosed with cardiogenic shock. The prescribed dose is 10 mcg/kg/min10 \text{ mcg/kg/min}. The client weighs 176 lb176 \text{ lb}. The pharmacy dispenses a pre-mixed bag containing 800 mg800 \text{ mg} of dopamine in 250 mL250 \text{ mL} of 5%5\% dextrose in water. The nurse should set the intravenous infusion pump to deliver how many mL/hr? (Record your answer as a whole number).

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Answer: 15

Answer

15
To safely administer a weight-based continuous intravenous infusion, precise unit conversions for weight (pounds to kilograms), time (minutes to hours), and drug mass (micrograms to milligrams) are necessary. By calculating the hourly required dose (48 mg/hr48 \text{ mg/hr}) and dividing it by the concentration of the dispensed fluid (3.2 mg/mL3.2 \text{ mg/mL}), the correct and safe infusion rate is determined to be 15 mL/hr15 \text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
176 lb÷2.2=80 kg176 \text{ lb} \div 2.2 = 80 \text{ kg}
Weight-based medication dosing requires the client's weight to be precisely measured in kilograms.
2
Calculate the total dose required per minute.
80 kg×10 mcg/kg/min=800 mcg/min80 \text{ kg} \times 10 \text{ mcg/kg/min} = 800 \text{ mcg/min}
This establishes the specific therapeutic dose required for this individual client.
3
Convert the dose from per-minute to per-hour.
800 mcg/min×60 min/hr=48,000 mcg/hr800 \text{ mcg/min} \times 60 \text{ min/hr} = 48,000 \text{ mcg/hr}
Standard intravenous infusion pumps are programmed in mL per hour, requiring an hourly drug rate.
4
Convert the required hourly dose from micrograms to milligrams.
48,000 mcg/hr÷1,000 mcg/mg=48 mg/hr48,000 \text{ mcg/hr} \div 1,000 \text{ mcg/mg} = 48 \text{ mg/hr}
The dispensed medication concentration is provided in milligrams; units must match before final calculation.
5
Determine the concentration of the dispensed medication.
800 mg÷250 mL=3.2 mg/mL800 \text{ mg} \div 250 \text{ mL} = 3.2 \text{ mg/mL}
Determining the concentration (mg per single mL) simplifies the calculation of the final fluid volume.
6
Calculate the final infusion rate.
48 mg/hr÷3.2 mg/mL=15 mL/hr48 \text{ mg/hr} \div 3.2 \text{ mg/mL} = 15 \text{ mL/hr}
This yields the exact fluid volume the pump must deliver each hour to administer the prescribed medication dose.

Key Concept

Weight-based Intravenous Medication Calculations
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