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Hesi rn dosage calculation

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Total Questions : 51

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Question 1:

An adolescent with meningococcal meningitis is receiving a continuous IV infusion of penicillin G, which is prescribed as 20 million units in a total volume of 2 liters of normal saline every 24 hours. The pharmacy delivers 10 million units/litre of normal saline. How many mL/hour should the nurse program the infusion pump? (Enter numeric value only. If rounding is required, round to the nearest whole number.)

Answer and Explanation
Correct Answer: "83" mL/hour

Explanation

Formula:

Infusion rate (mL/hour) = Total volume (mL) / Total time (hours)

Convert total volume from liters to milliliters:

1L = 1000mL

2L = 2 liters x 1000 mL/litre

= 2000 mL

Total volume = 2000 mL

Total infusion time in hours:

Total infusion time = 24 hours

Calculate the infusion rate in mL/hour:

Infusion rate (mL/hour) = Total volume (mL) / Total time (hours)

= 2000 mL / 24 hours

≈ 83.33 mL/hour

Round to the nearest whole number:

Rounded infusion rate = 83 mL/hour


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Question 2:

A client receives a prescription for cefazolin 1 gram in 200 mL of 0.9% normal saline to infuse over 30 minutes. The nurse should program the infusion pump to deliver how many mL/hour? (Enter numeric value only.)

Answer and Explanation
Correct Answer: "400" mL/hour

Explanation

Formula:

Infusion rate (mL/hour) = Total volume (mL) / Total time (hours)

Total volume: Total volume = 200 mL

Convert infusion time from minutes to hours:

1 hour = 60 minutes

30 minutes = 30 minutes / 60 minutes/hour

= 0.5 hours

Total infusion time = 0.5 hours

Calculate the infusion rate in mL/hour:

Infusion rate (mL/hour) = Total volume (mL) / Total time (hours)

= 200 mL / 0.5 hours

= 400 mL/hour


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Question 3:

The healthcare provider prescribes acyclovir 800 mg PO every 6 hours for an adolescent with chicken pox. The drug is available in 400 mg tablets PO. How many tablets should the nurse administer to the client every 24 hours? (Enter the numeric value only.)

Answer and Explanation
Correct Answer: "8" tablets

Explanation

Formula:

Total daily dose = Desired dose per administration x Number of administrations per day

Desired dose per administration = 800 mg

Available dose per tablet = 400 mg

Number of tablets per administration = Desired dose per administration / Available dose per tablet

= 800 mg / 400 mg/tablet

= 2 tablets

Number of administrations per day = every 6 hours means 24 hours / 6 hours/administration

= 4 administrations

Total daily tablets = Number of tablets per administration x Number of administrations per day

= 2 tablets/administration x 4 administrations/day

= 8 tablets


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Question 4:

The healthcare provider prescribes penicillin V potassium 650,000 units IM. The available vial is labeled, "Penicillin V potassium 500,000 units/mL." How many mL should the nurse administer? (Enter the numerical value only. If rounding is required, round to the nearest tenth.)

Answer and Explanation
Correct Answer: "1.3" mL

Explanation

Calculation:

Formula:

Volume to administer (mL) = Desired dose (units) / Available concentration (units/mL)

Desired dose = 650,000 units

Available concentration = 500,000 units/mL

Volume to administer (mL) = Desired dose (units) / Available concentration (units/mL)

= 650,000 units / 500,000 units/mL

= 1.3 mL


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Question 5:

A client with deep vein thrombosis (DVT) is receiving a continuous IV infusion of heparin sodium 20,000 units in 5% dextrose injection 500 mL at the rate of 25 mL/hour. How many units of heparin should the client receive in 12 hours? (Enter numeric value only.)

Answer and Explanation
Correct Answer: "12000" units

Explanation

Calculate the total volume infused over 12 hours:

Total volume (mL) = Infusion rate (mL/hour) x Infusion time (hours)

= 25 mL/hour x 12 hours

= 300 mL

Calculate the concentration of heparin in the IV solution:

Heparin concentration (units/mL) = Total heparin units / Total volume of solution (mL)

= 20,000 units / 500 mL

= 40 units/mL

Calculate the total units of heparin received in 12 hours:

Total heparin units = Heparin concentration (units/mL) x Total volume infused (mL)

= 40 units/mL x 300 mL

= 12000 units


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Question 6:

A client receives a prescription for penicillin 5 million units in 100 mL of 0.9% sodium chloride to be infused over 30 minutes. How many mL/hr should the nurse set the infusion pump? (Enter numerical value only.)

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

Explanation

Total volume to be infused = 100 mL

Convert the infusion time from minutes to hours:

Infusion time (hours) = Infusion time (minutes) / 60 minutes/hour

= 30 minutes / 60 minutes/hour

= 0.5 hours

Calculate the infusion rate in mL/hour:

Infusion rate (mL/hour) = Total volume (mL) / Infusion time (hours)

= 100 mL / 0.5 hours

= 200 mL/hour


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Question 7:

The healthcare provider prescribes enoxaparin 1 mg/kg SUBQ every 12 hours for a client who weighs 132 pounds. The medication is available in "Enoxaparin 60 mg/0.6 mL prefilled syringe." How many mL should the nurse administer per day? (Enter numerical value only.)

Answer and Explanation
Correct Answer: "1.2" mL

Explanation

Convert the client's weight from pounds to kilograms:

Weight (kg) = Weight (pounds) / 2.2 pounds/kg

= 132 pounds / 2.2 pounds/kg

= 60 kg

Calculate the dose per administration:

Dose per administration (mg) = Prescribed dose (mg/kg) x Client's weight (kg)

= 1 mg/kg x 60 kg

= 60 mg

Determine the volume to administer per dose:

Volume per dose (mL) = Desired dose (mg) / Available concentration (mg/mL)

= 60 mg / (60 mg / 0.6 mL)

= 0.6 mL

Calculate the total volume to administer per day:

Number of administrations per day = every 12 hours means 24 hours / 12 hours/administration

= 2 administrations

Total daily volume (mL) = Volume per dose (mL) x Number of administrations per day

= 0.6 mL/dose x 2 doses/day

= 1.2 mL/day


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Question 8:

A client is receiving a litre of 0.9% sodium chloride IV solution to be administered over 12 hours. The nurse should set the infusion pump to infuse how many mL per hour? (Enter numeric value only. If rounding is required, round to the nearest whole number.)

Answer and Explanation
Correct Answer: "83" mL

Explanation

Total volume to be infused = 1 litre

Convert the total volume from liters to milliliters:

Total volume (mL) = Total volume (liters) x 1000 mL/litre

= 1 litre x 1000 mL/litre

= 1000 mL

Total infusion time in hours = 12 hours

Calculate the infusion rate in mL per hour:

Infusion rate (mL/hour) = Total volume (mL) / Total infusion time (hours)

= 1000 mL / 12 hours

≈ 83.33 mL/hour

Round to the nearest whole number:

Rounded infusion rate = 83 mL/hour


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Question 9:

A client receives a prescription for vancomycin 1 gram intravenously (IV) every 12 hours, which is to be infused over 2hrs. The IV bag contains vancomycin 1 gram in 250 mL dextrose 5% in water (D5W). The nurse should program the infusion pump to deliver how many mL/hour? (Enter numerical value only.)

Answer and Explanation
Correct Answer: "125" mL/hour

Explanation

Total volume to be infused = 250 mL

Infusion time in hours = 2 hours

Calculate the infusion rate in mL per hour:

Infusion rate (mL/hour) = Total volume (mL) / Infusion time (hours)

= 250 mL / 2 hours

= 125 mL/hour


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Question 10:

A child who weighs 44 pounds with otitis media receives a prescription for azithromycin 10 mg/kg once, then 10 mg/kg daily for 4 days. The medication is available in a solution containing 200 mg/5 mL. How many mL should the nurse administer on the first day of the treatment regimen? (Enter numeric value only.)

Answer and Explanation
Correct Answer: "5" mL

Explanation

Convert the child's weight from pounds to kilograms:

Weight (kg) = Weight (pounds) / 2.2 pounds/kg

= 44 pounds / 2.2 pounds/kg

= 20 kg

Calculate the prescribed dose for the first day:

Dose on day 1 (mg) = Initial dose (mg/kg) x Child's weight (kg)

= 10 mg/kg x 20 kg

= 200 mg

Calculate the volume to administer on the first day:

Volume to administer (mL) = Desired dose (mg) / Available concentration (mg/mL)

= 200 mg / (200 mg / 5 mL)

= 5 mL


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