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Answer :
In the given question, for the 139-lb patient with severe acidosis, the IV administration of isotonic sodium lactate solution at a rate of 50 mL per kg body mass results in a running time of approximately 7.01 hours.
To calculate the running time in hours for the IV administration, follow these steps:
1. Convert the patient's weight from pounds to kilograms.
2. Calculate the total volume of the isotonic sodium lactate solution required based on the patient's weight (50 mL/kg).
3. Determine the number of drops of liquid needed (gtts) based on the volume and the IV administration set (20 gtts/mL).
4. Find the total time (in minutes) required for the IV administration using the given flow rate (150 gtts/min).
5. Convert the total time from minutes to hours.
Let's proceed with the calculations:
1. Convert the patient's weight from pounds to kilograms:
139 pounds ≈ 139 / 2.205 kg ≈ 63.06 kg (rounded to 2 decimal places).
2. Calculate the total volume of the isotonic sodium lactate solution:
Total volume = 50 mL/kg * 63.06 kg ≈ 3153 mL (rounded to 2 decimal places).
3. Determine the number of drops (gtts):
Number of drops = 3153 mL * 20 gtts/mL = 63060 gtts.
4. Find the total time in minutes:
Total time (in minutes) = Number of drops / Flow rate = 63060 gtts / 150 gtts/min ≈ 420.40 minutes (rounded to 2 decimal places).
5. Convert the total time from minutes to hours:
Total time (in hours) ≈ 420.40 minutes / 60 min/hour ≈ 7.01 hours (rounded to 2 decimal places).
The running time for the IV administration is approximately 7.01 hours.
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