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Answer :
To solve this problem, we need to determine the appropriate dosage of vancomycin for a patient based on their weight and the prescribed dosage schedule. Let's go through the steps:
1. Convert the patient's weight from pounds to kilograms:
- The patient weighs 198 pounds.
- To convert pounds to kilograms, we use the conversion factor 1 pound ≈ 2.20462 kilograms.
- Calculation: [tex]\( 198 \, \text{lb} \div 2.20462 \approx 89.81 \, \text{kg} \)[/tex].
2. Calculate the total daily dosage:
- The prescribed dosage is 15 mg of vancomycin per kilogram of body weight per day.
- Calculation: [tex]\( 15 \, \text{mg/kg/day} \times 89.81 \, \text{kg} \approx 1347.17 \, \text{mg/day} \)[/tex].
3. Determine the dosage per administration:
- The total daily dosage is to be divided equally into two doses (every 12 hours).
- So, we need to divide the daily dosage by 2.
- Calculation: [tex]\( 1347.17 \, \text{mg/day} \div 2 \approx 673.59 \, \text{mg/dose} \)[/tex].
4. Round the dosage to the nearest whole number:
- The calculated dosage per administration is approximately 673.59 mg.
- Rounding this to the nearest whole number gives us 674 mg.
Therefore, the nurse should administer 674 mg of vancomycin with each dose.
1. Convert the patient's weight from pounds to kilograms:
- The patient weighs 198 pounds.
- To convert pounds to kilograms, we use the conversion factor 1 pound ≈ 2.20462 kilograms.
- Calculation: [tex]\( 198 \, \text{lb} \div 2.20462 \approx 89.81 \, \text{kg} \)[/tex].
2. Calculate the total daily dosage:
- The prescribed dosage is 15 mg of vancomycin per kilogram of body weight per day.
- Calculation: [tex]\( 15 \, \text{mg/kg/day} \times 89.81 \, \text{kg} \approx 1347.17 \, \text{mg/day} \)[/tex].
3. Determine the dosage per administration:
- The total daily dosage is to be divided equally into two doses (every 12 hours).
- So, we need to divide the daily dosage by 2.
- Calculation: [tex]\( 1347.17 \, \text{mg/day} \div 2 \approx 673.59 \, \text{mg/dose} \)[/tex].
4. Round the dosage to the nearest whole number:
- The calculated dosage per administration is approximately 673.59 mg.
- Rounding this to the nearest whole number gives us 674 mg.
Therefore, the nurse should administer 674 mg of vancomycin with each dose.
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