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To determine the flow rate in gtt/min for administering 1,000 ml of Ringer's Lactate with 30 Units of Pitocin over 4 hours using a 20 gtt/ml set, the total volume to be infused and the time must be accurately calculated.

First, convert the infusion time from hours to minutes. Since the solution is to be infused over 4 hours, that amounts to 240 minutes (4 hours × 60 minutes/hour).

Next, calculate the flow rate in ml/min by dividing the total volume (1,000 ml) by the total time in minutes (240 minutes):

1,000 ml ÷ 240 min = approximately 4.17 ml/min.

Now, to convert ml/min to gtt/min using the drop factor of the IV set, multiply the flow rate by the drop factor:

4.17 ml/min × 20 gtt/ml = 83.33 gtt/min.

Rounding this to the nearest whole number provides approximately 83 gtt/min. Therefore, setting the flow rate to 83 gtt/min would ensure that the infusion of the solution occurs at the correct rate, delivering the medication effectively within the desired timeframe.