Final answer:
By noon, the patient will have received 0.15ml of drug X from an IV solution with a 0.025% concentration, infused at a rate of 100ml/hr over 6 hours.
Step-by-step explanation:
The question involves calculating the amount of drug X a patient will receive in an IV infusion over a six-hour period, from 6am to noon. The IV solution contains 0.025% of drug X and is being administered at a rate of 100ml/hr.
To find the total amount of drug X delivered by noon, we need to multiply the hourly infusion rate by the number of hours the infusion has been running and then calculate the amount of drug X in that volume based on the concentration percentage.
Calculation steps:
First, we find the total volume infused by noon: 100ml/hr × 6 hours = 600ml.Next, we calculate how much drug X is in 600ml of the solution: 600ml × 0.025%.To express the percentage as a decimal, we divide by 100: 0.025/100 = 0.00025.Finally, we find the amount of drug X: 600ml × 0.00025 = 0.15ml.
Therefore, by noon, the patient will have received 0.15ml of drug X.