Hesi Medical Dosage Calculation
Total Questions : 53
Showing 25 questions, Sign in for moreThe 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
First, we need to convert the child's weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so 88 pounds is equal to 0.4536 x 88 = 39.9168 kilograms. Next, we need to find the maximum safe dose of amoxicillin for this child based on the recommended dosage of 50 mg/kg/24 hour. To do this, we multiply the child's weight by 50 mg/kg, which gives us 39.9168 x 50 = 1995.84 mg/24 hour.
This means that the child should not receive more than 1995.84 mg of amoxicillin in a day.
Then, we need to find the amount of amoxicillin in each dose based on the prescribed frequency of every 8 hours. To do this, we divide the maximum safe dose by the number of doses in a day, which is 24 hours divided by 8 hours, or 3 doses. This gives us 1995.84 / 3 = 665.28 mg/dose.
This means that each dose of amoxicillin should not exceed 665.28 mg.
Finally, we need to find the volume of the suspension that contains this amount of amoxicillin based on the label information of Amoxicillin Suspension 250 mg/5 mL. To do this, we use a proportion:
250 mg / 5 mL = 665.28 mg / x mL
Cross-multiplying and solving for x, we get:
x = (665.28 x 5) / 250
x = 13.3056 mL
Therefore, the nurse should administer 13 mL of the suspension for each dose.
The healthcare provider prescribes cefazolin 800 mg IM every six hours. The available vial is labeled, "Cefazolin 1 gram," and the instructions for reconstitution state, For IM use add 2.5 mL sterile water for injection to provide a total volume of 3.0 mL". After reconstitution, the solution contains how many mg/mL? (Enter numeric value only. If rounding is required, round to the nearest whole number.)
Explanation
The vial contains 1 gram of cefazolin, which is equal to 1000 mg.
After adding 2.5 mL of sterile water for injection, the total volume of the solution is 3.0 mL.
To find out how many mg of cefazolin are in each mL of the solution, we need to divide the total amount of cefazolin by the total volume of the solution: 1000 / 3 = 333.3333 mg/mL.
Therefore, after reconstitution, the solution contains about 333 mg/mL of cefazolin (rounded to the nearest whole number).
A client receives a prescription for warfarin 2 mg IM daily. The pharmacy delivers a vial labeled, warfarin 5 mg/single-use vial. The instructions read, reconstitute with 2.7 mL of sterile water for injection to yield 2 mg/mL. How many mL should the nurse administer? (Enter the numerical value only.)
Explanation
To find out how many mL of warfarin to administer, we need to divide the prescribed dose (2 mg) by the concentration of the reconstituted solution (2 mg/mL). This gives us 1 mL as the answer.
A child who weighs 66 pounds receives a prescription for amoxicillin 80 mg/kg/day by mouth in divided doses every 12 hours. The bottle is labeled, "Amoxicillin for Oral Suspension, USP 400 mg per 5 mL." How many mL should the nurse administer with each dose? (Enter numerical value only.)
Explanation
To find out how many mL of amoxicillin to administer, we need to first convert the child's weight from pounds to kilograms, since the prescription is based on kg. To do this, we multiply 66 pounds by 0.454, which gives us 29.964 kg.
Then, we multiply this by the prescribed dose (80 mg/kg/day) to get the total daily dose of amoxicillin, which is 2397.12 mg.
Next, we divide this by the number of doses per day (2) to get the dose per 12 hours, which is 1198.56 mg.
Finally, we divide this by the concentration of the suspension (400 mg per 5 mL) to get the volume to administer, which is 14.98 mL.
We can round this up to 15 mL as the answer.
The healthcare provider prescribes enoxaparin 1 mg/kg subcutaneously every 12 hours for a client who weighs 132 pounds. The medication is available in 60 mg/0.6 mL prefilled syringe. How many mL should the nurse administer per day? (Enter numerical value only.)
Explanation
To find out how many mL of enoxaparin to administer per day, we need to first convert the client's weight from pounds to kilograms, since the prescription is based on kg. To do this, we multiply 132 pounds by 0.454, which gives us 59.928 kg.
Then, we multiply this by the prescribed dose (1 mg/kg) to get the dose per 12 hours, which is 59.928 mg.
Next, we divide this by the concentration of the prefilled syringe (60 mg/0.6 mL) to get the volume to administer per 12 hours, which is 0.59928 mL. We can round this up to 0.6 mL as the answer.
Finally, we multiply this by the number of doses per day (2) to get the total volume to administer per day, which is 1.2 mL as the answer.
A pediatric client with cerebral palsy receives a prescription for a 75% enteral nutrition formula of 320 mL to infuse at 80 mL/hour via an enteral feeding pump. The formula is available full strength in a 240 mL can. To prepare the solution, the nurse should use how many mL of the enteral nutrition formula? (Enter numeric value only. If rounding is required, round to the nearest whole number.)
Explanation
To answer this question, we need to calculate the amount of enteral nutrition formula needed to make a 75% solution of 320 mL. We can use the formula:
Amount of formula = (Desired concentration / Available concentration) x Total volume Amount of formula = (0.75 / 1) x 320
Amount of formula = 240 mL
Therefore, the nurse should use 240 mL of the enteral nutrition formula to prepare the solution. This means that the nurse will use one full can of the formula and add 80 mL of water to dilute it to 75%.
A client is receiving one liter of DW 0.45% normal saline IV every 8 hours by gravity infusion. The IV tubing has a drip factor of 12 gtt/mL. The nurse should regulate the IV to deliver how many drops per minute? (Enter numeric value only. If rounding is required, round to the nearest whole number.)
Explanation
Volume to be infused = 1 liter = 1000 mL
Drop factor = 12 gtt/mL
Time in minutes = 8 hours = 8 hours × 60 minutes/hour = 480 minutes Drops per minute (gtt/min) = (1000 mL × 12 gtt/mL) / 480 minutes
Drops per minute (gtt/min) = 12000 / 480
Drops per minute (gtt/min) ≈ 25
A child is to receive vancomycin 40 mg/kg intravenously one hour before a scheduled procedure. The child weighs 44 pounds. How many mg of the medication should the nurse administer? (Enter numeric value only.)
Explanation
First, we have to convert 44 ponds to kgs = 44/ 2.205
= 19.958 kgs
Then, we calculate the mg to be administered by multiplying the above with 40 = 40 x 19.958
= 798.32
= 798 mg (rounded off to the nearest whole number)
Filgrastim 5 mcg/kg/day subcutaneous is prescribed for a child with cancer who weighs 88 pounds. The medication is labeled 300 mcg/mL. How many mL should the nurse administer daily to this child? (Enter the numerical value only. If rounding required, round to the nearest tenth.)
Explanation
First, we need to convert 88 pounds to kgs = 88/2.205
= 39.916 kgs
Then we calculate the mcg needed to be administered to the child per day = 5 x 39.916 = 199.58 mcg/day
To calculate the mLs needed to be administered daily we divide 199.58 by 300 mcg/mL = 0.67 mL
= 0.7 mL (rounded off to the nearest tenth)
The healthcare provider prescribes lamivudine oral solution 150 mg twice daily for a client who is HIV positive. The available bottle contains 240 mL of lamivudine labeled, "10 mg/mL." How many mL should the nurse administer in a 24 hour period? (Enter numeric value only.)
Explanation
First we calculate the total mg of the drug taken over 24 hours= (150 mg x 2 doses/day) = 300 mg/day.
Then, calculate the mLs needed to be administered per day = 300 mg/day divided by 10 mg/mL
= 30 mL/day.
The healthcare provider prescribes streptomycin 200 mg intramuscularly every 12 hours. The vial is labeled, "Streptomycin 1 gram/2.5 mL. How many milliliters should the nurse administer? (Enter numerical value only. (If rounding is required, round to the nearest tenth.)
Explanation
To find out how many milliliters of streptomycin to administer, you need to use the formula: D/H x Q = X, where D is the desired dose, H is the dose on hand, Q is the quantity on hand, and X is the amount to give. In this case, D = 200 mg, H = 1000 mg, Q = 2.5 mL, and X is unknown. Plug in the values and solve for X:
X = (200 mg / 1000 mg) x 2.5 mL
X = 0.5 mL
Therefore, the nurse should administer 0.5 mL of streptomycin.
The nurse is initiating a 500 mL IV of normal saline at 60 mL/hour for a client with heart failure. How many hours should the IV infuse? (Enter numeric value only. If rounding is required, round to the nearest tenth.)
Explanation
To find out how many hours the IV should infuse, you need to use the formula: V/T = R, where V is the volume of fluid, T is the time of infusion, and R is the rate of infusion. In this case, V = 500 mL, T is unknown, and R = 60 mL/hour. Plug in the values and solve for T:
T = V / R
T = 500 mL / 60 mL/hour
T = 8.33 hours
Therefore, the IV should infuse for 8.33 hours.
= 8.3 hours (rounded off to the nearest tenth)
A client who weighs 154 pounds receives a prescription for epoetin alfa 50 units/kg subcutaneously 3 times a week. The medication is available in 2000 units/ml. vial. 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 find out how many mL of epoetin alfa to administer, you need to first convert the client's weight from pounds to kilograms by dividing by 2.2.
Then, you need to use the formula: D/H x Q = X, where D is the desired dose, H is the dose on hand, Q is the quantity on hand, and X is the amount to give. In this case, D = 50 units/kg x client's weight in kg, H = 2000 units/mL, Q = 1 mL, and X is unknown. Plug in the values and solve for X:
Client's weight in kg = 154 pounds / 2.2
Client's weight in kg = 70 kg
D = 50 units/kg x 70 kg
D = 3500 units
X = (3500 units / 2000 units/mL) x 1 mL
X = 1.745 mL
Therefore, the nurse should administer 1.7 mL of epoetin alfa (rounded off to the nearest tenth)
A client is brought to the emergency center for fluid replacement after running a marathon, and the healthcare provider prescribes a 500 mL bolus of 0.9% normal saline to be administered over 4 hours. The Infusion set delivers 10 gtt/mL, so the nurse should regulate the Infusion to deliver how many gtt/minute? (Enter numerical value only. If rounding is required, round to the nearest whole number.)
Explanation
To answer this question, we need to use the formula:
gtt/minute = (Volume in mL x Drop factor in gtt/mL) / Time in minutes gtt/minute = (500 x 10) / 240
gtt/minute = 5000 / 240
gtt/minute = 20.833
Rounding to the nearest whole number, we get:
gtt/minute = 21
Therefore, the nurse should regulate the infusion to deliver 21 gtt/minute.
A client is receiving a 200 mL bolus of 0.9% normal saline (NS) to be infused over 20 minutes. The nurse should set the Infusion pump to deliver how many mL/hour? (Enter numeric value only.)
Explanation
To calculate the infusion rate in mL/hour, you can use the formula:
\[ \text{Infusion Rate (mL/hour)} = \frac{\text{Volume (mL)}}{\text{Time (hours)}} \]
In this case, the volume is 200 mL, and the time is 20 minutes. Convert 20 minutes to hours by dividing by 60:
\[ \text{Time (hours)} = \frac{20 \, \text{minutes}}{60} \]
Now, plug these values into the formula:
\[ \text{Infusion Rate (mL/hour)} = \frac{200 \, \text{mL}}{\frac{20 \, \text{minutes}}{60}} \]
\[ \text{Infusion Rate (mL/hour)} = \frac{200 \, \text{mL}}{\frac{1}{3}} \]
To divide by a fraction, multiply by its reciprocal:
\[ \text{Infusion Rate (mL/hour)} = 200 \, \text{mL} \times \frac{3}{1} \]
\[ \text{Infusion Rate (mL/hour)} = 600 \, \text{mL/hour} \]
So, the nurse should set the infusion pump to deliver 600 mL/hour.
A client is receiving a secondary infusion of azithromycin 500 mg in 500 mL of normal saline (NS) to be infused over 2 hours. How many mL/hour should the nurse program the infusion pump? (Enter numerical value only.)
Explanation
To answer this question, we need to convert the time from minutes to hours and use the formula:
mL/hour = Volume in mL / Time in hours
Plugging in the given values, we get:
mL/hour = 200 / (20 / 60)
mL/hour = 200 / 0.333
mL/hour = 600
Therefore, the nurse should set the infusion pump to deliver 600 mL/hour.
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 weight from pounds to kilograms and use the formula:
Dose in mg = Weight in kg x Dosage in mg/kg
Plugging in the given values, we get:
Dose in mg = (35 / 2.2) x 0.6
Dose in mg = 15.909 x 0.6
Dose in mg = 9.545
Rounding to the nearest whole number, we get:
Dose in mg = 10
Therefore, the nurse should administer 10 mg of dexamethasone.
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
The number of doses available in the Pen can be found by dividing the total amount in the Pen by the prescribed dose:
Total amount in the Pen = 18 mg
Prescribed dose = 1.2 mg
Number of doses = Total amount in the Pen / Prescribed dose
Number of doses = 18 mg / 1.2 mg
Number of doses = 15 doses
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
First, find the total dosage per minute:
Total dosage = Weight × Dosage
Total dosage = 91 kg × 3 mcg/kg/min
Total dosage = 273 mcg/min
Now, convert mcg to mg (1 mg = 1000 mcg):
273 mcg/min ÷ 1000 = 0.273 mg/min
Next, determine the infusion rate in mL/hr:
The solution has 400 mg in 250 mL, so each mL contains:
400 mg ÷ 250 mL = 1.6 mg/mL
Infusion rate (mL/hour) = Total dosage per minute / Dosage per mL
Infusion rate = 0.273 mg/min / 1.6 mg/mL = 0.1706 mL/min
Converting minutes to hours:
0.1706 mL/min × 60 min/hour ≈ 10.236 mL/hour
= 10. 2 mL/hour (rounded to the nearest tenth)
A client is receiving a secondary infusion of vancomycin 1,500 mg in 250 mL to be infused over two hours. The IV administration set delivers 10 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 find the gtt/min, we need to multiply the mL/hour by the drop factor and divide by 60 minutes. The mL/hour is the volume of the infusion divided by the time of the infusion, which is 250 mL / 2 hours = 125 mL/hour. The drop factor is 10 gtt/mL. Therefore, the gtt/min is (125 mL/hour x 10 gtt/mL) / 60 minutes = 20.83 gtt/min. If rounding is required, we round to the nearest whole number, which is 21 gtt/min.
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 find the total daily dose in mg, we need to multiply the dose per administration by the number of administrations per day and convert the units from mL to mg. The dose per administration is 15 mL, and the number of administrations per day is 2 (every 12 hours). The conversion factor from mL to mg is given by the label, which is 12.5 mg/5 mL. Therefore, the total daily dose in mg is (15 mL x 2 x 12.5 mg/5 mL) = 75 mg.
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
To find the mg to administer, we need to multiply the dose per kg by the weight in kg and convert the units from pounds to kg.
The dose per kg is 0.25 mg/kg, and the weight in pounds is 178 pounds. The conversion factor from pounds to kg is 0.4536 kg/pound. Therefore, the weight in kg is (178 pounds x 0.4536 kg/pound) = 80.74 kg.
The mg to administer is (0.25 mg/kg x 80.74 kg) = 20.19 mg. If rounding is required, we round to the nearest whole number, which is 20 mg.
The healthcare provider prescribes 1 liter of lactate Ringers to infuse in 8 hours. The IV administration set delivers 15 gtt/mL. 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.)
Explanation
To find the mL/hour, we need to divide the volume of the infusion by the time of the infusion and convert the units from liters to mL. The volume of the infusion is 1 liter, and the time of the infusion is 8 hours. The conversion factor from liters to mL is 1000 mL/liter. Therefore, the mL/hour is (1 liter / 8 hours x 1000 mL/liter) = 125 mL/hour.
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 of ceftazidime for this infant, we need to multiply the prescribed dose per kilogram by the infant's weight in kilograms.
Since 1 gram is equal to 0.001 kilogram, we can convert the infant's weight from grams to kilograms by dividing it by 1,000.
Therefore, the infant's weight in kilograms is 3,500 / 1,000 = 3.5 kg.
Now, we can multiply the prescribed dose of 30 mg/kg by 3.5 kg to get the daily dose of ceftazidime for this infant. The result is 30 x 3.5 = 105 mg.
A client returns from the PACU with a bag of IV fluids that has 630 mL remaining in the 1,000 mL bag. The prescription reads, "Continue the present IV over the next 7 hours." The IV administration set delivers 10 gtt/mL. The nurse should regulate the infusion to deliver how many drops/minute to accomplish the new prescription? (Enter numeric
value only).
Explanation
To find out how many drops/minute the nurse should regulate the infusion to, we need to first calculate how many mL/minute the infusion should deliver.
To do this, we need to divide the remaining volume of IV fluids by the number of hours that it should last. Since there are 60 minutes in an hour, we can convert the number of hours to minutes by multiplying it by 60.
Therefore, the number of minutes that the IV fluids should last is 7 x 60 = 420 minutes. Now, we can divide the remaining volume of IV fluids by this number to get the infusion rate in mL/minute. The result is 630 / 420 = 1.5 mL/minute.
Next, we need to multiply this infusion rate by the number of drops per mL that the IV administration set delivers. Since the IV administration set delivers 10 gtt/mL, we can multiply 1.5 mL/minute by 10 gtt/mL to get the infusion rate in drops/minute. The result is 1.5 x 10 = 15 gtt/minute.
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