Math  /  Numbers & Operations

Question12. \qquad Order: Give Med X 5mg/kg/5 \mathrm{mg} / \mathrm{kg} / day in two divided doses. The patient is 225 lbs . Available is ora suspension 250mg/5 mL250 \mathrm{mg} / 5 \mathrm{~mL}. How many mL will be given to the patient for each dose?

Studdy Solution

STEP 1

1. The medication dosage is specified as 5mg5 \mathrm{mg} per kilogram of body weight per day, divided into two doses.
2. The patient's weight is given in pounds and needs to be converted to kilograms.
3. The available medication concentration is 250mg250 \mathrm{mg} per 5mL5 \mathrm{mL}.
4. We need to calculate the volume of medication to administer per dose.

STEP 2

1. Convert the patient's weight from pounds to kilograms.
2. Calculate the total daily dosage of the medication in milligrams.
3. Determine the dosage for each divided dose.
4. Calculate the volume of medication (in mL) required for each dose based on the given concentration.

STEP 3

Convert the patient's weight from pounds to kilograms using the conversion factor 1 pound=0.453592 kilograms1 \text{ pound} = 0.453592 \text{ kilograms}.
Weight in kg=225 lbs×0.453592 kg/lb \text{Weight in kg} = 225 \text{ lbs} \times 0.453592 \text{ kg/lb}
Weight in kg=102.0582 kg \text{Weight in kg} = 102.0582 \text{ kg}

STEP 4

Calculate the total daily dosage of the medication in milligrams.
Total daily dosage=5 mg/kg/day×102.0582 kg \text{Total daily dosage} = 5 \text{ mg/kg/day} \times 102.0582 \text{ kg}
Total daily dosage=510.291 mg/day \text{Total daily dosage} = 510.291 \text{ mg/day}

STEP 5

Determine the dosage for each divided dose by dividing the total daily dosage by 2.
Dosage per dose=510.291 mg/day2 \text{Dosage per dose} = \frac{510.291 \text{ mg/day}}{2}
Dosage per dose=255.1455 mg/dose \text{Dosage per dose} = 255.1455 \text{ mg/dose}

STEP 6

Calculate the volume of medication (in mL) required for each dose based on the given concentration of 250mg250 \mathrm{mg} per 5mL5 \mathrm{mL}.
First, find the concentration in mg/mL\mathrm{mg/mL}:
Concentration=250 mg5 mL \text{Concentration} = \frac{250 \text{ mg}}{5 \text{ mL}}
Concentration=50 mg/mL \text{Concentration} = 50 \text{ mg/mL}
Next, calculate the volume required for each dose:
Volume per dose=255.1455 mg50 mg/mL \text{Volume per dose} = \frac{255.1455 \text{ mg}}{50 \text{ mg/mL}}
Volume per dose=5.10291 mL \text{Volume per dose} = 5.10291 \text{ mL}
Since medication dosage is often rounded to a practical value:
Volume per dose5.1 mL \text{Volume per dose} \approx 5.1 \text{ mL}
Solution: The volume of medication to be given to the patient for each dose is approximately 5.15.1 mL.

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