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a nurse is preparing to administer amikacin 7 mg/kg/day im to a client …

Question

a nurse is preparing to administer amikacin 7 mg/kg/day im to a client who weighs 165 pounds. available is amikacin 250 mg/ml solution for injection. how many ml should the nurse administer per dose? (round the answer to the nearest tenth. use a leading zero if it applies. do not use a trailing zero.)

Explanation:

Step1: Convert pounds to kilograms

Since 1 pound = 0.453592 kg, for a client weighing 165 pounds, the weight in kg is $165\times0.453592\approx74.8427$ kg.

Step2: Calculate total daily dose in mg

The dose is 7 mg/kg/day, so total daily dose is $7\times74.8427\approx523.9$ mg.

Step3: Calculate volume in mL

Using the formula $\text{Volume (mL)}=\frac{\text{Dose (mg)}}{\text{Concentration (mg/mL)}}$, with concentration 250 mg/mL, we get $\frac{523.9}{250}\approx2.1$ mL.

Answer:

2.1