Questions: 41. Order is for linezolid 10 mg / kg infused over 90 minutes, every 8 hours for 14 days. Patient weighs 99 lbs. Linezolid 600 mg / 300 mL is available. Round to the nearest whole number. a) How many mg is the patient receiving per dose? b) What is the IV pump rate in mL / hr ? c) How many mg is the patient receiving per day?

41. Order is for linezolid 10 mg / kg infused over 90 minutes, every 8 hours for 14 days. Patient weighs 99 lbs. Linezolid 600 mg / 300 mL is available. Round to the nearest whole number.
a) How many mg is the patient receiving per dose?
b) What is the IV pump rate in mL / hr ?
c) How many mg is the patient receiving per day?
Transcript text: 41. Order is for linezolid $10 \mathrm{mg} / \mathrm{kg}$ infused over 90 minutes, every 8 hours for 14 days. Patient weighs 99 lbs. Linezolid $600 \mathrm{mg} / 300 \mathrm{~mL}$ is available. Round to the nearest whole number. a) How many mg is the patient receiving per dose? b) What is the IV pump rate in $\mathrm{mL} / \mathrm{hr}$ ? c) How many mg is the patient receiving per day?
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Solution

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How many mg is the patient receiving per dose?

Convert the patient's weight from pounds to kilograms

\(99 \text{ lbs} \div 2.2 \text{ lbs/kg} = 45 \text{ kg}\)

Calculate the dose in mg

\(10 \text{ mg/kg} \times 45 \text{ kg} = 450 \text{ mg}\)

\(\boxed{450 \text{ mg}}\)

What is the IV pump rate in mL/hr?

Determine the volume of solution needed for the dose

\(\frac{600 \text{ mg}}{300 \text{ mL}} = \frac{450 \text{ mg}}{x \text{ mL}}\)

Cross-multiply and solve for x

\(600x = 300 \times 450\)
\(600x = 135000\)
\(x = \frac{135000}{600}\)
\(x = 225 \text{ mL}\)

Calculate the IV pump rate

The infusion time is 90 minutes, which is \(90/60 = 1.5\) hours.
\(\frac{225 \text{ mL}}{1.5 \text{ hr}} = 150 \text{ mL/hr}\)

\(\boxed{150 \text{ mL/hr}}\)

How many mg is the patient receiving per day?

Determine the number of doses per day

The medication is administered every 8 hours. There are 24 hours in a day, so the patient receives \(24 \div 8 = 3\) doses per day.

Calculate the total mg per day

\(450 \text{ mg/dose} \times 3 \text{ doses/day} = 1350 \text{ mg/day}\)

\(\boxed{1350 \text{ mg}}\)

\(\boxed{450 \text{ mg}}\)
\(\boxed{150 \text{ mL/hr}}\)
\(\boxed{1350 \text{ mg}}\)

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