The nurse claim that a 4 -litre drip with a Drip Factor of \( 20 \mathrm{gtt} / \mathrm{ml} \) and a drip rate of \( 300 \mathrm{gtt} / \mathrm{min} \) will take mrore than 266 minutes to finish. The doctor claim that the drip will take less than 266 minutes to Use calculations to verify who is correct.
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Bonus Knowledge
To determine who is correct, we need to calculate the total time required for a 4-litre drip to be administered at a drip rate of \(300 \mathrm{gtt/min}\). 1. First, we need to convert \(4\, \text{litres}\) to millilitres, since the drip factor is given in gtt/ml: \[ 4 \, \text{litres} = 4000 \, \text{ml} \] 2. Next, we can calculate the total number of drops required using the drip factor: \[ \text{Total drops} = \text{Total volume (ml)} \times \text{Drip Factor (gtt/ml)} \] \[ \text{Total drops} = 4000 \, \text{ml} \times 20 \, \text{gtt/ml} = 80000 \, \text{gtt} \] 3. Now, we find out how long it will take to administer the total volume at \(300 \text{gtt/min}\): \[ \text{Total time (min)} = \frac{\text{Total drops}}{\text{Drip rate (gtt/min)}} \] \[ \text{Total time (min)} = \frac{80000 \, \text{gtt}}{300 \, \text{gtt/min}} \approx 266.67 \, \text{minutes} \] So, the calculated time is approximately \(266.67\) minutes, which means the nurse is correct in saying it will take more than \(266\) minutes, while the doctor is incorrect.
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