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Dosage calculation RN Proctored exam herzing university

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Total Questions : 14

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Question 1:

A client is receiving Phenylephrine IV at 160 mL/hr. It is available as Phenylephrine IV 300 mg in 500 mL D5W. What is the flow rate in mg/min? Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mg/min

Answer and Explanation
Correct Answer: "1.6" mg/min

Explanation

Step 1 is to identify the available concentration of the medication

Available concentration = Total mg ÷ Total mL

Available concentration = 300 ÷ 500

300 ÷ 500 = 0.6 mg/mL

Step 2 is to calculate the dosage delivered per hour

mg per hour = mL/hr × mg/mL

mg per hour = 160 × 0.6

160 × 0.6 = 96 mg/hr

Step 3 is to calculate the dosage delivered per minute

mg per minute = mg/hr ÷ 60 minutes

mg per minute = 96 ÷ 60

96 ÷ 60 = 1.6 mg/min

Step 4 is to round to the nearest tenth

1.6 = 1.6

Answer: 1.6


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Question 2:

Order: Lidocaine IV to infuse at 7 mg/min. The solution available is 1.5 g of lidocaine in 125 mL D5W. Determine the IV flow rate in mL/hr. Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mL/hr

Answer and Explanation
Correct Answer: "35" mL/hr

Explanation

Step 1 is to convert the available grams to milligrams

mg = grams × 1000

1.5 × 1000 = 1500 mg

Step 2 is to calculate the concentration of the available solution

mg per mL = Total mg ÷ Total mL

1500 ÷ 125 = 12 mg/mL

Step 3 is to calculate the required milligrams per hour

mg per hour = mg/min × 60 minutes

7 × 60 = 420 mg/hr

Step 4 is to calculate the flow rate in mL per hour

mL/hr = mg/hr ÷ mg/mL

420 ÷ 12 = 35 mL/hr

Step 5 is to round to the nearest tenth

35 = 35.0

Answer: 35.0


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Question 3:

Order: Hydrocortisone 1000 mg IV push stat. It is available as Hydrocortisone 125 mg per 2 mL. How many mL will the nurse administer? Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mL

Answer and Explanation
Correct Answer: "16" mL

Explanation

Step 1 is to identify the ordered dose and available concentration

Ordered dose: 1000 mg

Available: 125 mg / 2 mL

Step 2 is to calculate the volume to be administered

Volume = (Ordered dose ÷ Available dose) × Available volume

Volume = (1000 ÷ 125) × 2

1000 ÷ 125 = 8

8 × 2 = 16 mL

Step 3 is to round to the nearest tenth

16 = 16.0

Answer: 16.0


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Question 4:

Order: Nitroglycerin IV to infuse at 90 mcg/min. It is available as Nitroglycerin 150 mg in 300 mL D5W. What is the infusion rate in mL/hr? Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mL/hr

Answer and Explanation
Correct Answer: "10.8" mL/hr

Explanation

Step 1 is to convert the total milligrams in the bag to micrograms

mcg = mg × 1000

150 × 1000 = 150,000 mcg

Step 2 is to calculate the concentration of the solution in mcg/mL

mcg per mL = Total mcg ÷ Total mL

150,000 ÷ 300 = 500 mcg/mL

Step 3 is to calculate the micrograms delivered per hour

mcg per hour = mcg/min × 60 minutes

90 × 60 = 5400 mcg/hr

Step 4 is to calculate the flow rate in mL per hour

mL/hr = mcg/hr ÷ mcg/mL

5400 ÷ 500 = 10.8 mL/hr

Step 5 is to round to the nearest tenth

10.8 = 10.8

Answer: 10.8


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Question 5:

Order: Zosyn IV 2 grams to infuse over 15 minutes. It is available as Zosyn 2 grams in 50 mL NS. What is the infusion rate in mL/hr? Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mL/hr

Answer and Explanation
Correct Answer: "200" mL/hr

Explanation

Step 1 is to identify the total volume to be infused and the time in minutes

Total volume = 50 mL

Time = 15 minutes

Step 2 is to calculate the infusion rate in mL per hour using the hour conversion

mL/hr = (Total volume ÷ Time in minutes) × 60 minutes

(50 ÷ 15) × 60 = Result

50 ÷ 15 = 3.3333...

3.3333... × 60 = 200

Step 3 is to round to the nearest tenth

200 = 200.0

Answer: 200.0


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Question 6:

Order: Infuse 0.45% NS IV at 75 mL/hr. The tubing has a drop factor of 15 gtt/mL. What is the flow rate in gtt/min? Round to the nearest whole number and enter numeric value only (no commas or labels) ________ gtt/min

Answer and Explanation
Correct Answer: "19" gtt/min

Explanation

Step 1 is to identify the flow rate in mL/hr and the drop factor

Flow rate = 75 mL/hr

Drop factor = 15 gtt/mL

Step 2 is to calculate the total drops per hour

Total drops per hour = mL/hr × drop factor

75 × 15 = 1125 gtt/hr

Step 3 is to calculate the drops per minute

gtt/min = Total drops per hour ÷ 60 minutes

1125 ÷ 60 = 18.75 gtt/min

Step 4 is to round to the nearest whole number

18.75 ≈ 19

Answer: 19


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Question 7:

Order: Humulin regular IV to infuse at 12 units/hr. The IV solution is available as Humulin regular insulin IV 250 units in 250 mL of 0.9% NS. At what rate in mL/hr should the IV infuse? Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mL/hr

Answer and Explanation
Correct Answer: "12" mL/hr

Explanation

Step 1 is to calculate the concentration of the insulin solution in units/mL

Units per mL = Total units ÷ Total mL

250 ÷ 250 = 1 unit/mL

Step 2 is to calculate the flow rate in mL/hr

mL/hr = Units per hour ÷ Units per mL

12 ÷ 1 = 12 mL/hr

Step 3 is to round to the nearest tenth

12 = 12.0

Answer: 12.0


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Question 8:

An IV of 500 mL D5W is to infuse at 75 mL/hr. The IV was started at 10:00 PM. At what time would the IV infusion be completed? Enter answer in military time. Round to the nearest whole number of minutes and enter numeric value only (no commas or labels) Answer in military time. ________

Answer and Explanation
Correct Answer: "0440"

Explanation

Step 1 is to calculate the total infusion time in hours

Total hours = Total volume ÷ mL/hr

500 ÷ 75 = 6.6666... hours

Step 2 is to convert the decimal portion of the hours into minutes

Minutes = 0.6666... × 60 minutes

0.6666... × 60 = 40 minutes

Total time = 6 hours and 40 minutes

Step 3 is to convert the start time to military time

10:00 PM = 2200

Step 4 is to add the infusion time to the start time

2200 + 0640 = Result

2200 + 0200 (to reach midnight) = 2400 (or 0000)

Remaining time to add = 4 hours and 40 minutes

0000 + 0440 = 0440

Answer: 0440


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Question 9:

Order: Magnesium sulfate 2 g IV to infuse over 2 hours. It is available as Magnesium sulfate 2 g in 500 mL D5W. What is the infusion rate in mL/hr? Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mL/hr

Answer and Explanation
Correct Answer: "250" mL/hr

Explanation

Step 1 is to identify the total volume to be infused and the total time in hours

Total volume = 500 mL

Total time = 2 hours

Step 2 is to calculate the infusion rate in mL per hour

mL/hr = Total volume ÷ Total hours

500 ÷ 2 = 250

Step 3 is to round to the nearest tenth

250 = 250.0

Answer: 250.0


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Question 10:

Order: Dobutamine IV to infuse at 6 mcg/kg/min. It is available as Dobutamine 300 mg in 250 mL D5W. The client weighs 100 kg. Calculate the flow rate in mL/hr. Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mL/hr

Answer and Explanation
Correct Answer: "30" mL/hr

Explanation

Order: Dobutamine IV to infuse at 6 mcg/kg/min. It is available as Dobutamine 300 mg in 250 mL D5W. The client weighs 100 kg. Calculate the flow rate in mL/hr. Round to the nearest tenths place where applicable and enter numeric value only (no commas or labels) ________ mL/hr

Correct answer: 30.0

Rationale:

Step 1 is to calculate the total dosage required per minute

mcg per minute = Weight in kg × Dosage (mcg/kg/min)

100 × 6 = 600 mcg/min

Step 2 is to calculate the total dosage required per hour

mcg per hour = mcg/min × 60 minutes

600 × 60 = 36,000 mcg/hr

Step 3 is to convert the hourly mcg dose to milligrams (mg)

mg per hour = mcg/hr ÷ 1000

36,000 ÷ 1000 = 36 mg/hr

Step 4 is to calculate the concentration of the available solution in mg/mL

mg per mL = Total mg ÷ Total mL

300 ÷ 250 = 1.2 mg/mL

Step 5 is to calculate the flow rate in mL per hour

mL/hr = mg/hr ÷ mg/mL

36 ÷ 1.2 = 30

Step 6 is to round to the nearest tenth

30 = 30.0

Answer: 30.0


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