Convert the volume of the IV bag from liters to milliliters: 2 L = 2000 mL .
Divide the total volume by the administration rate to find the duration: 250 mL/hour 2000 mL = 8 hours .
The IV bag will last for 8 hours .
Explanation
Problem Analysis and Conversion We need to determine how long a 2-L IV bag will last when administered at a rate of 250 mL per hour. First, we need to convert the volume of the IV bag from liters to milliliters.
Converting Liters to Milliliters Since 1 L = 1000 mL, then 2 L = 2 \times 1000 mL = 2000 mL. Now we know the IV bag contains 2000 mL of fluid.
Calculating Duration Next, we divide the total volume of the IV bag (in mL) by the administration rate (in mL/hour) to find the duration in hours.
Performing the Calculation Duration = \frac{Total Volume}{Administration Rate} = \frac{2000 \text{ mL}}{250 \text{ mL/hour}} = 8 \text{ hours}.
Final Answer Therefore, the 2-L IV bag will last for 8 hours.
Examples
In a hospital setting, calculating IV drip rates is crucial for administering medications and fluids accurately. For instance, if a patient needs 1 liter of saline solution over a certain period, nurses must calculate the correct drip rate to ensure the patient receives the fluid at the prescribed rate. This calculation involves converting liters to milliliters and then dividing by the desired time frame in hours to determine the mL/hour rate. Accurate calculations prevent over- or under-hydration, ensuring patient safety and effective treatment.
The 2-L IV bag will last for 8 hours when administered at a rate of 250 mL per hour. This is calculated by converting liters to milliliters and dividing the total volume by the rate. Hence, the correct multiple-choice option is C. 8 hours.
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