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Rn Hesi Med Surg Dosage Calculations

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Question 1:

The healthcare provider prescribes amoxicillin 500 mg every 8 hours for a child who  weighs 88 pounds. The recommended maximum safe dose is 50 mg/kg/24 hour. The  available suspension is labeled, Amoxicillin Suspension 250 mg/5 mL. Based on this  child weight, how many mL should the nurse administer? (Enter numerical value only. (If rounding is required, round to the whole number.) 

Explanation

To answer this question, we need to convert the child's weight from pounds to kilograms, and then calculate the safe dose range and the amount of suspension needed.

One pound is equal to 0.454 kg, so 88 pounds is equal to 0.454 x 88 = 39.952 kg. We can round this to 40 kg for simplicity.

The safe dose range is 50 mg/kg/24 hour, so for a 40 kg child, the safe dose range is 50 x 40 = 2000 mg/24 hour. This means that the child can receive up to 2000 mg of amoxicillin in a day.

The prescription is for 500 mg every 8 hours, which means that the child will receive three doses in a day, totaling 500 x 3 = 1500 mg. This is within the safe dose range.

The suspension is labeled, Amoxicillin Suspension 250 mg/5 mL, which means that every 5 mL of suspension contains 250 mg of amoxicillin. To find out how many mL of suspension are needed for one dose of 500 mg, we can use a proportion:

250 mg / 5 mL = 500 mg / x mL

Cross-multiplying and solving for x, we get:

x = (500 x 5) / 250

x = 10 mL

Therefore, the nurse should administer 10 mL of suspension for one dose of 500 mg


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Question 2:

An adult client receives a prescription for diphenhydramine 15 mL by mouth every 12  hours PRN for pruritus. The bottle is labeled, diphenhydramine 12.5 mg/5 mL. What is  the total daily dose in mg that the client receives? (Enter numerical value only.)

Explanation

To answer this question, we need to find out how many mg of diphenhydramine are in one dose of 15 mL, and then multiply by the number of doses in a day. The bottle is labeled, diphenhydramine 12.5 mg/5 mL, which means that every 5 mL of liquid contains 12.5 mg of diphenhydramine. To find out how many mg of diphenhydramine are in one dose of 15 mL, we can use a proportion:

12.5 mg / 5 mL = x mg / 15 mL

Cross-multiplying and solving for x, we get:

x = (12.5 x 15) / 5

x = 37.5

Therefore, one dose of 15 mL contains 37.5 mg of diphenhydramine.

The prescription is for every 12 hours PRN, which means that the client can take up to two doses in a day as needed. The total daily dose in mg that the client receives is therefore:

37.5 x 2 = 75 mg


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Question 3:

A 4-year-old is admitted with croup and receives a prescription for a single dose of  dexamethasone 0.6 mg/kg IM. The child weighs 35 pounds. How many mg should the  nurse administer? (Enter numerical value only. If rounding is required, round to the  nearest whole number.)

Explanation

To answer this question, we need to convert the child's weight from pounds to kilograms, and then multiply by the prescribed dose per kg.

One pound is equal to 0.454 kg, so 35 pounds is equal to 0.454 x 35 = 15.89 kg. We can round this to 16 kg for simplicity.

The prescribed dose is 0.6 mg/kg IM, which means that for every kg of body weight, the child should receive 0.6 mg of dexamethasone by intramuscular injection.

To find out how many mg of dexamethasone are needed for a single dose, we can multiply the child's weight by the prescribed dose:

16 x 0.6 =9.6

Therefore, the nurse should administer about 10 mg of dexamethasone for a single dose.


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Question 4:

A client scheduled for coronary artery bypass surgery is to receive an intravenous  infusion of 1 gram cefazolin in 50 mL 0.9% Sodium Chloride, USP over 30 minutes. The  nurse should program the infusion pump to deliver how many mL/hour? (Enter numeric  value only, as a whole number.) 

Explanation

To answer this question, we need to calculate the infusion rate in mL/hour using the formula:

Infusion rate (mL/hour) = Volume (mL) / Time (hour)

We are given the volume of the infusion as 50 mL and the time as 30 minutes. We need to convert the time from minutes to hours by dividing by 60. Therefore, we get:

Infusion rate (mL/hour) = 50 mL / (30 / 60) hour

Infusion rate (mL/hour) = 50 mL / 0.5 hour

Infusion rate (mL/hour) = 100 mL/hour

The nurse should program the infusion pump to deliver 100 mL/hour. This is the numeric value and it is already a whole number, so no rounding is needed.


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Question 5:

A client who weighs 91 kg receives a prescription for a continuous infusion of dopamine  at 3 mcg/kg/min. The solution is labeled, "Dopamine 400 mg in 5% Dextrose Injection  250 mL." How many mL/hr should the nurse program the infusion pump to deliver?  (Enter numeric value only. If rounding is required, round to the nearest tenth.)

Explanation

To answer this question, we need to calculate the infusion rate in mL/hr using the formula:

Infusion rate (mL/hr) = Dose (mcg/min) x Weight (kg) x 60 min / Concentration (mcg/mL)

We are given the dose of dopamine as 3 mcg/kg/min and the weight of the client as 91 kg. We need to find the concentration of dopamine in the solution by dividing the amount of dopamine by the volume of the solution. We are given that there are 400 mg of dopamine in 250 mL of solution. We need to convert mg to mcg by multiplying by 1000. Therefore, we get:

Concentration (mcg/mL) = (400 mg x 1000 mcg/mg) / 250 mL

Concentration (mcg/mL) = 400000 mcg / 250 mL

Concentration (mcg/mL) = 1600 mcg/mL

Now we can plug in the values into the formula and get:

Infusion rate (mL/hr) = 3 mcg/kg/min x 91 kg x 60 min / 1600 mcg/mL Infusion rate (mL/hr) = 16380 mcg/min / 1600 mcg/mL

Infusion rate (mL/hr) = 10.2375 mL/hr

The nurse should program the infusion pump to deliver 10.2 mL/hr. This is the numeric value and it is rounded to the nearest tenth, as instructed.


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Question 6:

A client receives a prescription for 1 liter of lactated Ringer's intravenously (IV) to be  infused over 12 hours. The IV administration set delivers 60 gtt/mL. How many gtt/min  should the nurse regulate the infusion? (Enter numerical value only. If rounding is  required, round to the nearest whole number.) 

Explanation

To answer this question, we need to calculate the infusion rate in gtt/min using the formula:

Infusion rate (gtt/min) = Volume (mL) x Drop factor (gtt/mL) / Time (min)

We are given the volume of the infusion as 1 liter and the drop factor as 60 gtt/mL. We need to convert the volume from liters to milliliters by multiplying by 1000 and convert the time from hours to minutes by multiplying by 60. Therefore, we get:

Volume (mL) = 1 L x 1000 mL/L

Volume (mL) = 1000 mL

Time (min) = 12 hours x 60 min/hour

Time (min) = 720 min

Now we can plug in the values into the formula and get:

Infusion rate (gtt/min) = 1000 mL x 60 gtt/mL / 720 min

Infusion rate (gtt/min) = 60000 gtt / 720 min

Infusion rate (gtt/min) = 83.3333 gtt/min

The nurse should regulate the infusion at 83 gtt/min. This is the numerical value and it is rounded to the nearest whole number, as instructed.


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Question 7:

The nurse plans to provide the next shift with the IV fluid balance for a client who had a  440 mL secondary infusion that was started 2 hours ago at a rate of 85 ml/hour via an  infusion pump. What is the remaining volume to be infused? (Enter numeric value only.)

Explanation

To calculate the remaining volume to be infused, we need to subtract the amount of fluid that has been infused from the total volume of the secondary infusion. The amount of fluid that has been infused can be found by multiplying the infusion rate by the duration of the infusion. In this case, the infusion rate is 85 ml/hour and the duration of the infusion is 2 hours, so the amount of fluid that has been infused is 85 x 2 = 170 mL. Therefore, the remaining volume to be infused is 440 - 170 = 270 mL.


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Question 8:

A client receives a prescription for oxytocin 2 milliunits/min intravenously (IV) for labor  augmentation. The IV bag contains oxytocin 20 units in lactated Ringer's 1 liter. How many mL/hour should the nurse program the infusion pump to deliver? (Enter numerical  value only.) 

Explanation

To find the infusion rate in mL/hour, we need to convert the prescribed dose in milliunits/min to units/hour and then use the concentration of oxytocin in the IV bag to find the corresponding volume in mL/hour. To convert milliunits/min to units/hour, we multiply by 60. In this case, 2 milliunits/min is equivalent to 2 x 60 = 120 units/hour. To find the volume in mL/hour, we divide the dose in units/hour by the concentration of oxytocin in units/L and multiply by 1000. In this case, the concentration of oxytocin is 20 units/L, so the volume in mL/hour is (120 / 20) x 1000 = 6000 mL/hour.


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Question 9:

The nurse plans to administer a bolus dose of IV Heparin based on the client's weight.  The prescribed bolus dose is 100 units/kg. The client weighs 198 pounds. How many  units of Heparin should the nurse administer? (Enter numeric value only.)

Explanation

calculate the bolus dose of Heparin, we need to multiply the prescribed dose per kg by the client's weight in kg. To convert pounds to kg, we divide by 2.2. In this case, the client's weight in kg is 198 / 2.2 = 90 kg. Therefore, the bolus dose of Heparin is 100 x 90 = 9000 units.


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Question 10:

During a home visit, the nurse learns that a client is taking calcium polycarbophil, an  over the counter laxative. A single tablet contains 625 mg and the daily maximum dosage  is 5 grams in divided doses. How many tablets could the client safely take in one day?  (Enter the numeric value only. If rounding is required, round to the nearest whole  number.) 

Explanation

The client can safely take up to 8 tablets in one day. This is because 5 grams is equal to 5000 mg, and dividing that by 625 mg gives 8. The client should not exceed this amount to avoid adverse effects of the laxative.


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Question 11:

A client receives a prescription for hydrocortisone sodium succinate 150 mg  intravenously STAT. The powdered medication needs to be reconstituted with 2 mL of  bacteriostatic water that will provide a solution of 250 mg/mL. How many mL should the  nurse administer? (Enter numerical value only.) 

Explanation

The client can safely take up to 8 tablets in one day. This is because 5 grams is equal to 5000 mg, and dividing that by 625 mg gives 8. The client should not exceed this amount to avoid adverse effects of the laxative.


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Question 12:

The healthcare provider prescribes metoclopramide 7.5 mg/mL IM every 3 hours PRN  vomiting for a client who is receiving chemotherapy. The nurse prepares an injection  using a 2 ml. prefilled syringe cartridge labeled, "metoclopramide 5 mg/mL." How many  mL should the nurse administer? (Enter numeric value only. If rounding is required,  round to the nearest tenth.)

Explanation

The nurse should administer 1.5 mL of the medication. This is because 7.5 mg is the desired dose, and 5 mg/mL is the concentration of the medication. Using the same formula as before, we can solve for V by plugging in the values: V = 7.5/5 = 1.5.


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Question 13:

The healthcare provider prescribes an IV bolus of diltiazem 0.25 mg/kg for a client with  atrial fibrillation. The client weighs 178 pounds. How many mg should the nurse  administer? (Enter numeric value only. If rounding is required, round to the nearest  whole number.)

Explanation

The nurse should administer 20 mg of the medication. This is because 0.25 mg/kg is the desired dose, and the client weighs 178 pounds. To convert pounds to kilograms, we divide by 2.2, so the client's weight in kilograms is 178/2.2 = 80.91 kg. Multiplying that by the desired dose gives us the amount of medication in mg: 80.91 x 0.25 = 20.23 mg. Rounding that to the nearest whole number gives us 20 mg.


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Question 14:

Penicillin G procaine 240,000 units Intramuscularly is prescribed for a 4-year-old child  who has a streptococcal respiratory Infection. The medication vial is labeled 1,200,000  units/2 mL. How many ml. should the nurse administer? (Enter numeric value only. If  rounding is required, round to the nearest tenth.)

Explanation

The nurse should administer 0.4 mL of the medication. This is because 240,000 units is the desired dose, and 1,200,000 units/2 mL is the concentration of the medication. To find the concentration in units per mL, we divide by 2, so it is 600,000 units/mL. Using the same formula as before, we can solve for V by plugging in the values: V = 240,000/600,000 = 0.4.


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Question 15:

The nurse is preparing to administer methylprednisolone 40 mg IV. The medication vial  is labeled "125 mg per 2 mL." How many mL of medication should the nurse administer?  (Enter numeric value only. If rounding is required, round to the nearest hundredth.)

Explanation

The nurse should administer 0.64 mL of the medication. This is because 40 mg is the desired dose, and 125 mg/2 mL is the concentration of the medication. To find the concentration in mg per mL, we divide by 2, so it is 62.5 mg/mL. Using the same formula as before, we can solve for V by plugging in the values: V = 40/62.5 = 0.64.


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Question 16:

The nurse is caring for a client with an oral temperature of 100.6° F. What temperature in  Celsius should the nurse document in the medical record? (Enter numerical value only. If  rounding is required, round to the nearest tenth.) 

Explanation

To convert Fahrenheit to Celsius, use the formula C = (F - 32) x 5/9. Therefore, 100.6° F is equivalent to 38.1° C. The nurse should document 38.1° C in the medical record.


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Question 17:

Dobutamine hydrochloride 2 mcg/kg/min is prescribed for a client weighing 165 pounds.  The solution is mixed with 50 mg of dobutamine In 1,000 mL of DW. The nurse should  set the Infusion pump to deliver how many mL/hour? (Enter numeric value only.)

Explanation

To calculate the infusion rate, use the formula mL/hour = (dose in mcg/kg/min x weight in kg x 60 min) / (concentration in mg/mL x 1000 mcg/mg). Therefore, mL/hour = (2 x 74.8 x 60) / (50 x 1000) = 17.9. The nurse should set the infusion pump to deliver 18 mL/hour.


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Question 18:

A client receives a prescription for amoxicillin 2 g/clavulanate 125 mg by mouth every  12 hours for 10 days. The medication is available in 1000 mg/62.5 mg extended release  tablets. How many tablets should the nurse administer? (Enter numerical value only.)

Explanation

To calculate the number of tablets, use the formula tablets = (total dose in mg) / (tablet strength in mg). Therefore, tablets = (2000 + 125) / (1000 + 62.5) = 2.1. The nurse should administer 2 tablets.


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Question 19:

The nurse is initiating a prescription for Dextrose 2.5% in 0.45% Sodium Chloride (Ds  0.5% NS) at 45 mL/hour for a child with dehydration. The nurse attaches a volume control administration set with a micro-drip chamber to the bag of solution. How many  micro-drops/minute should the nurse regulate the infusion? (Enter the numerical value  only. If rounding is required, round to the nearest whole number.) 

Explanation

To calculate the micro-drops/minute, use the formula micro-drops/minute = (mL/hour x drop factor) / 60 min. The drop factor for a micro-drip chamber is 60 drops/mL. Therefore, micro-drops/minute = (45 x 60) / 60 = 45. The nurse should regulate the infusion at 45 micro-drops/minute.


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Question 20:

The healthcare provider prescribes ceftazidime 30 mg/kg/day for an infant weighing  3,500 grams. What dose should the nurse administer daily to this infant? (Enter numeric  value only.) 

Explanation

To calculate the daily dose, use the formula dose = (dose per kg per day x weight in kg). Therefore, dose = (30 x 3.5) = 105 mg. The nurse should administer 105 mg daily to this infant.


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Question 21:

The healthcare provider prescribes liraglutide 1.2 mg subcutaneously daily for a client  with type 2 diabetes mellitus. The liraglutide Pen contains 18 mg of liraglutide and will  deliver doses of 0.6 mg, 1.2 mg, or 1.8 mg. When teaching the client about the use of the  liraglutide Pen, how many doses should the nurse tell the client is available in each Pen?  (Enter the numerical value only.) 

Explanation

To use the liraglutide Pen, the client should know how many doses are available in each Pen. The liraglutide Pen contains 18 mg of liraglutide and can deliver doses of 0.6 mg, 1.2 mg, or 1.8 mg. To calculate the number of doses, divide the total amount of liraglutide in the Pen by the prescribed dose. For example, if the prescribed dose is 1.2 mg, then divide 18 mg by 1.2 mg to get 15 doses. Therefore, the nurse should tell the client that there are 15 doses available in each Pen.


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Question 22:

A child who weighs 42 kg receives a prescription for methylprednisolone succinate 1.5  mg/kg/day intravenously in divided doses every 6 hours. The medication is available in  40 mg/mL vials. How many mL should the nurse administer with each dose? (Enter  numerical value only. If rounding is required, round to the nearest tenth.)

Explanation

To administer methylprednisolone succinate to a child who weighs 42 kg, the nurse should know how many mL to give with each dose. The prescription is for 1.5 mg/kg/day intravenously in divided doses every 6 hours. To calculate the dose in mg, multiply the weight in kg by the dose in mg/kg. For example, 42 kg x 1.5 mg/kg = 63 mg. To calculate the frequency of administration, divide the daily dose by the number of times per day. For example, 63 mg / 4 times per day = 15.75 mg per dose. To calculate the volume in mL, divide the dose in mg by the concentration in mg/mL. For example, 15.75 mg / 40 mg/mL = 0.39375 mL. If rounding is required, round to the nearest tenth. Therefore, the nurse should administer 0.4 mL with each dose.


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Question 23:

A client who weighs 176 pounds receives a prescription for lorazepam 0.05 mg/kg  intramuscularly 2 hours before a scheduled procedure. The medication is available in 4  mg/ml vial. How many ml should the nurse administer? (Enter numerical value only.)

Explanation

To administer lorazepam to a client who weighs 176 pounds, the nurse should know how many mL to give. The prescription is for 0.05 mg/kg intramuscularly 2 hours before a scheduled procedure. To calculate the dose in mg, first convert the weight in pounds to kg by dividing by 2.2. For example, 176 pounds / 2.2 = 80 kg. Then multiply the weight in kg by the dose in mg/kg. For example, 80 kg x 0.05 mg/kg = 4 mg. To calculate the volume in mL, divide the dose in mg by the concentration in mg/mL. For example, 4 mg / 4 mg/mL = 1 mL. Therefore, the nurse should administer 1 mL.


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Question 24:

A client with deep vein thrombosis (DVT) is receiving a continuous 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.)

Explanation

To calculate how many units of heparin a client with DVT should receive in 12 hours, the nurse should know the infusion rate and the concentration of heparin. The infusion rate is 25 mL/hour and the concentration of heparin is 20,000 units in 500 mL of solution. To calculate the amount of heparin in one hour, multiply the infusion rate by the concentration and divide by the volume of solution. For example, (25 mL/hour x 20,000 units) / 500 mL = 1000 units/hour. To calculate the amount of heparin in 12 hours, multiply the hourly amount by 12. For example, 1000 units/hour x 12 hours = 12,000 units. Therefore, the client should receive 12,000 units of heparin in 12 hours.


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Question 25:

A client who weighs 60 kg receives a prescription for dalteparin 200 units/kg  subcutaneously once a day for a month. The medication is available in 25,000 units/mL vial. How many mL should the nurse administer? (Enter numerical value. If rounding is  required, round to the nearest tenth.) 

Explanation

To administer dalteparin to a client who weighs 60 kg, the nurse should know how many mL to give once a day for a month. The prescription is for dalteparin 200 units/kg subcutaneously once a day for a month and it is available in a vial that contains 25,000 units/mL of dalteparin. To calculate the dose in units, multiply the weight in kg by the dose in units/kg. For example, 60 kg x 200 units/kg = 12 ,000 units. To calculate the volume in mL, divide the dose in units by the concentration in units/mL. For example, 12 ,000 units /25 ,000 units/mL = 0 .48 mL. If rounding is required, round to the nearest tenth. Therefore, the nurse should administer 0 .5 mL of dalteparin once a day for a month.


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