A 2 year old child receiving 500 ml IV fluid at the rate of 30 ml/hour for the first 2.5 hour then rate increased 75 ml /hour for 5 hour then again rate decreased 50 ml/hour to finish the fluid. Calculate the total time required to administer 500 ml IV fluid?

Appeared in: NORCET 3 - 2022 (Shift-2)

Explanation

derived by calculating the infusion time in three separate phases and then summing them.
Phase 1: 30 mL/hr for 2.5 hours infuses 75 mL.
Phase 2: 75 mL/hr for 5 hours infuses 375 mL.
The total volume infused after the first two phases is 75 mL + 375 mL = 450 mL.
The remaining volume is 500 mL - 450 mL = 50 mL.
Phase 3: The remaining 50 mL is infused at a rate of 50 mL/hr, which takes 1 hour (50 mL / 50 mL/hr).

Option B: This value is incorrect. It may result from a miscalculation or rounding error in one of the phases.
Option C: This is the sum of the time from the first two phases only (2.5 hours + 5 hours = 7.5 hours). It incorrectly omits the time required for the final phase of the infusion.
Option D: This value represents only the duration of the second phase of the infusion. It ignores the time taken for the first and third phases.

Visual 1: Flowchart: A visual flowchart illustrating the three-phase calculation. Step 1 shows the calculation for the first 2.5 hours. Step 2 shows the calculation for the next 5 hours. Step 3 calculates the remaining volume and the time to infuse it. The final step sums the times from all three phases.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain IV Fluid Calculation as background academic context rather than a clinical decision trigger.
Accurate calculation of IV infusion times is a critical nursing skill to ensure patient safety and prevent medication errors, especially in vulnerable populations like children.
Pediatric patients have a narrow margin for fluid balance. Incorrect infusion rates can quickly lead to fluid overload or dehydration. Always use an infusion pump for pediatric IVs and double-check calculations.
What if the total volume was 600 mL? The first two phases would remain the same (infusing 450 mL over 7.5 hours). The remaining volume would be 150 mL. At a rate of 50 mL/hr, the third phase would take 3 hours (150 mL / 50 mL/hr). The total time would then be 2.5 + 5 + 3 = 10.5 hours.

How to Approach the Question

Identify that this is a multi-step calculation problem involving changing rates.
Break the problem down into distinct phases based on each infusion rate and duration.
For each phase, calculate the volume of fluid infused (Volume = Rate × Time).
Keep a running total of the volume infused and calculate the remaining volume for the next phase.
For the final phase, calculate the time required to infuse the remaining volume (Time = Volume / Rate).
Sum the time durations from all phases to find the total infusion time.

Concept Tested & Keywords

Concept Tested: IV Fluid Calculation
Stem keywords: IV fluid, rate, total time, 2 year old child
Lead-in keywords: Calculate
Clinical cues: The question involves multiple rate changes, requiring a multi-step calculation.
Clinical cues: The patient is a 2-year-old child, highlighting the importance of precision in pediatric fluid management.

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Practise the full NORCET 3 - 2022 (Shift-2)

Attempt every question from this paper in a timed mock, then review the full solution for each one.