Pregunta
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The nurse clalm of \( 20 \mathrm{gtt} / \mathrm{ml} \) and a drip rate of \( 300 \mathrm{gtt/min} \) will take more than 266 minutes to finish. The doctor claim that the drip will take less than 266 minutes Use calculations to verify who is correct.

Ask by Savage Cruz. in South Africa
Feb 25,2025

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The doctor is correct. With a drip rate of 300 gtt/min and an infusion set of 20 gtt/ml, the infusion time is calculated as 1000 ml ÷ 15 ml/min ≈ 66.67 minutes, which is less than 266 minutes.

Solución

We start by converting the drop rate into a volume rate. With an infusion set that delivers 20 drops (gtt) per milliliter, a drip rate of 300 drops per minute means that:   Infused volume per minute = (300 drops/min) ÷ (20 drops/ml) = 15 ml/min Now, if you know the total volume of fluid to be infused, you can calculate the infusion time by dividing the volume (in ml) by 15 ml/min. For example, if the prescribed infusion is 1000 ml, the time required is:   Time = 1000 ml ÷ 15 ml/min ≈ 66.67 minutes Notice that 66–67 minutes is much less than 266 minutes. In the problem, the doctor claims that the drip will be finished in less than 266 minutes, while the nurse’s calculation shows a duration of over 266 minutes. The correct calculation (as shown above) indicates that unless the fluid volume is extremely large (for example, a 3990‐ml infusion would take 3990 ÷ 15 = 266 minutes), the infusion will finish in far less than 266 minutes. For a typical infusion such as 1000 ml, the drip takes about 67 minutes. Thus, based on the standard conversion calculation, the doctor is correct.

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The Deep Dive

To determine who's correct, we can calculate the total volume in milliliters and then find out how long it will take to administer that volume at the given drip rate. Assuming we have an IV solution with a total volume that needs to be administered (let's denote it as \( V \) in ml). The nurse claims that at a drip rate of \( 300 \, \text{gtt/min} \) and a drop factor of \( 20 \, \text{gtt/ml} \): 1. **Calculate the total volume using the drip rate**: \[ \text{Drip rate in ml/min} = \frac{300 \, \text{gtt/min}}{20 \, \text{gtt/ml}} = 15 \, \text{ml/min} \] 2. **Calculate the time in minutes to administer the total volume**: \[ \text{Time (in min)} = \frac{V \, \text{(ml)}}{15 \, \text{(ml/min)}} \] For the nurse's claim to be true, the time should be more than 266 minutes: \[ \frac{V}{15} > 266 \implies V > 15 \times 266 \implies V > 3990 \, \text{ml} \] For the doctor’s claim to be true, the time should be less than 266 minutes: \[ \frac{V}{15} < 266 \implies V < 15 \times 266 \implies V < 3990 \, \text{ml} \] Thus, if \( V \) is anywhere below or above 3990 ml, we can determine who’s right. If \( V \) is more than 3990 ml, the nurse is correct; if it's less, the doctor is right.

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