Final answer:
The infusion rate for Cephalosporin 500mg IV q 8 hours diluted in 100ml 0.9% normal saline and infused over 30 min is approximately 0.42 ml/hr.
Step-by-step explanation:
To calculate the infusion rate, we need to determine the amount of Cephalosporin needed per hour. The prescription calls for 500mg every 8 hours, so the infusion rate per hour can be calculated by dividing 500mg by 8 hours. This gives us 62.5mg per hour.
Next, we need to calculate the amount of Cephalosporin in each milliliter of the diluted solution. The vial contains 150mg/1ml, so the concentration is 150mg/ml.
Finally, we can calculate the infusion rate in milliliters per hour by dividing the infusion rate in mg per hour (62.5mg/hr) by the concentration (150mg/ml). This gives us an infusion rate of approximately 0.42ml/hr.