The initial dose of a medication is 0.7 mg/kg/hr for 12 hours. How many mL of an IV solution containing 400 mg per 100 mL would be needed for an adult male weighing 154 lbs during this 12-hour period?

A. 117 mL
B. 127 mL
C. 137 mL
D. 147 mL

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Answer :

sriLEKHA89 sriLEKHA89 · Answer 1 · 2024-07-02T05:53:23-04:00

147 mL of an IV solution containing 400mg per 100mL would be needed for an adult male weighing 154lbs.

Convert the weight from pounds to kilograms:
An adult male weighs 154 lbs.
[tex]\text{Weight in kilograms} = \frac{\text{Weight in pounds}}{2.20462}[/tex]
[tex]\text{Weight in kg} = \frac{154}{2.20462} \approx 69.85 \text{ kg}[/tex]
Calculate the total initial dose needed:
The initial dose is 0.7 mg/kg/hr for 12 hours.
[tex]\text{Total dose} = \text{Dose per hour} \times \text{Body weight} \times \text{Duration}[/tex]
[tex]\text{Total dose} = 0.7 \text{ mg/kg/hr} \times 69.85 \text{ kg} \times 12 \text{ hours}[/tex]
[tex]\text{Total dose} = 587.34 \text{ mg}[/tex]
Convert the concentration of the IV solution to find the volume needed:
The IV solution contains 400 mg of medication in every 100 mL.
Using the ratio:
[tex]\text{Volume needed} = \frac{\text{Total dose}}{\text{Concentration}}[/tex]
[tex]\text{Volume needed} = \frac{587.34 \text{ mg}}{400 \text{ mg/100 mL}}[/tex]
[tex]\text{Volume needed} = \frac{587.34 \times 100}{400} \approx 146.835 \text{ mL}[/tex]
Round to the nearest whole number:
The closest volume from the provided choices is 147 mL.