Final answer:
The patient receives 12.5 milligrams of thiamine per hour when the infusion is set to a rate of 125ml/hr, based on the thiamine concentration of 0.1mg/ml in the solution.
Step-by-step explanation:
To determine how many milligrams of thiamine the patient will receive per hour, we must first understand that the patient is being given an intravenous (IV) solution containing a fixed amount of thiamine diluted in a prescribed volume of 0.9% Sodium Chloride. The total volume of the IV solution is 1000ml, and the total amount of thiamine in this volume is 100mg. Given the infusion rate of 125ml/hr, we want to find out the dose of thiamine delivered per hour.
Firstly, we calculate the concentration of thiamine per milliliter of solution:
100mg thiamine / 1000ml solution = 0.1mg/ml.
Next, we determine the amount of thiamine administered per hour by multiplying the concentration of thiamine (0.1mg/ml) by the infusion rate (125ml/hr):
0.1mg/ml * 125ml/hr = 12.5mg/hr.
Therefore, the patient receives a dose of 12.5 milligrams of thiamine per hour.