A nurse is preparing to administer amikacin 5 mg/kg IM to a client who weighs 110 lb. Available is amikacin injection 250 mg/mL. How many mL should the nurse administer?
(Round the answer to the nearest whole number. Use a leading zero if applicable. Do not use a trailing zero.).
The Correct Answer is ["1"]
To solve this problem, we first need to convert the client’s weight from pounds to kilograms. Then, we can calculate the total amount of amikacin needed. Finally, we can find out how many milliliters of amikacin injection the nurse should administer.
- Convert the client’s weight to kilograms: Given that 1 kg = 2.2 lbs, we can calculate the client’s weight in kilograms as follows:
Weight in kg=Weight in lbsConversion factor=110 lbs2.2 lbs/kg≈50 kgWeight in kg=Conversion factorWeight in lbs=2.2 lbs/kg110 lbs≈50 kg
- Calculate the total amount of amikacin needed: The doctor ordered 5 mg of amikacin per kg of body weight, so the total amount of amikacin needed is:
Total amikacin=Dose per kg×Weight in kg=5 mg/kg×50 kg=250 mgTotal amikacin=Dose per kg×Weight in kg=5 mg/kg×50 kg=250 mg
- Find out how many milliliters of amikacin injection the nurse should administer: Given that the available amikacin injection is 250 mg/mL, we can calculate the volume of injection needed as follows:
Volume of injection=Total amikacinConcentration of injection=250 mg250 mg/mL=1 mLVolume of injection=Concentration of injectionTotal amikacin=250 mg/mL250 mg=1 mL
So, the nurse should administer 1 mL of amikacin injection.
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