Final answer:
To administer a continuous insulin infusion at a rate of 7 units/hour using a 100 units in 100 mL solution, the infusion pump should be set to 7 mL per hour.
Step-by-step explanation:
To calculate the infusion pump rate in mL/hr for a continuous insulin infusion of 7 units/hour using a standard insulin infusion of 100 units of U-100 insulin in 100 mL normal saline, you can use the following proportion: Since 100 units of insulin are in 100 mL, 1 unit of insulin is in 1 mL. Therefore, for 7 units per hour, the infusion pump should be set at 7 mL per hour. It is important that the pump is accurately set to ensure the correct dose is administered for the patient with type 1 diabetes mellitus.
To calculate the rate at which the infusion pump should be set, we need to consider the concentration of insulin in the solution and the ordered dosage rate. In this case, the pharmacy dispensed a standard insulin infusion containing 100 units of regular U-100 insulin in 100 mL normal saline. The ordered dosage rate is 7 units/hour. To find the rate at which the infusion pump should be set, we can use the following formula: Rate (mL/hr) = (Ordered dosage rate / Concentration of insulin) * 100. Plugging in the values, we get: Rate (mL/hr) = (7 units/hour / 100 units/mL) * 100 = 7 mL/hr. Therefore, the infusion pump should be set at a rate of 7 mL/hr.