A nurse is planning to administer diphenhydramine 1.25 mg/kg IV to a school-age child who weighs 55 lb. Available is diphenhydramine 50 mg/mL. How many ml should the nurse administer?
(Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)
The Correct Answer is ["0.6"]
Rationale:
First, we need to convert the child's weight from pounds to kilograms. We can do this by dividing 55 by 2.2, which gives us 25 kg.
Next, we need to multiply the dose of diphenhydramine by the child's weight to get the total amount of medication needed. We can do this by multiplying 1.25 mg/kg by 25 kg, which gives us 31.25 mg.
Finally, we need to divide the total amount of medication by the concentration of the solution to get the volume to be administered. We can do this by dividing 31.25 mg by 50 mg/mL, which gives us 0.625 mL.
To round the answer to the nearest tenth, we look at the hundredths place and see that it is 5 or more, so we round up the tenths place by one. Therefore, the nurse should administer 0.6 mL of diphenhydramine IV to the child.
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