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Answer :
Sure! Let’s work through this problem step by step.
1. Convert the weight from pounds to kilograms:
- The patient weighs 118 pounds.
- We need to convert pounds to kilograms. The conversion factor is approximately [tex]\(1 \text{ kilogram} = 2.20462 \text{ pounds}\)[/tex].
- To find out the weight in kilograms, use the formula:
[tex]\[
\text{Weight in kilograms} = \frac{\text{Weight in pounds}}{2.20462}
\][/tex]
- Substituting the given weight:
[tex]\[
\text{Weight in kilograms} = \frac{118}{2.20462} \approx 53.52 \text{ kilograms}
\][/tex]
2. Calculate the total daily dose in micrograms:
- The prescribed dose is [tex]\(30.0 \text{ micrograms per kilogram}\)[/tex] of body weight per day.
- Calculate the total daily dose:
[tex]\[
\text{Total daily dose} = 30.0 \times 53.52 \approx 1605.72 \text{ micrograms}
\][/tex]
3. Determine the dose for each administration:
- The medication is to be administered in three equal doses throughout the day.
- To find out the dose per administration, divide the total daily dose by the number of doses:
[tex]\[
\text{Dose per administration} = \frac{1605.72}{3} \approx 535.24 \text{ micrograms}
\][/tex]
Therefore, the patient should receive approximately 535.24 micrograms of the drug in each dose.
1. Convert the weight from pounds to kilograms:
- The patient weighs 118 pounds.
- We need to convert pounds to kilograms. The conversion factor is approximately [tex]\(1 \text{ kilogram} = 2.20462 \text{ pounds}\)[/tex].
- To find out the weight in kilograms, use the formula:
[tex]\[
\text{Weight in kilograms} = \frac{\text{Weight in pounds}}{2.20462}
\][/tex]
- Substituting the given weight:
[tex]\[
\text{Weight in kilograms} = \frac{118}{2.20462} \approx 53.52 \text{ kilograms}
\][/tex]
2. Calculate the total daily dose in micrograms:
- The prescribed dose is [tex]\(30.0 \text{ micrograms per kilogram}\)[/tex] of body weight per day.
- Calculate the total daily dose:
[tex]\[
\text{Total daily dose} = 30.0 \times 53.52 \approx 1605.72 \text{ micrograms}
\][/tex]
3. Determine the dose for each administration:
- The medication is to be administered in three equal doses throughout the day.
- To find out the dose per administration, divide the total daily dose by the number of doses:
[tex]\[
\text{Dose per administration} = \frac{1605.72}{3} \approx 535.24 \text{ micrograms}
\][/tex]
Therefore, the patient should receive approximately 535.24 micrograms of the drug in each dose.
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