For a patient with type 1 diabetes prescribed a continuous infusion of insulin at 7 units/hour, what should the infusion pump be set to in mL/hr?

To determine the correct infusion rate in mL/hr for a patient receiving a continuous infusion of insulin at 7 units/hour, it's essential to consider the concentration of the insulin solution being used in the infusion pump. Insulin is typically delivered in a concentration of 100 units/mL.

Given that there are 100 units of insulin in 1 mL, an infusion of 7 units/hour can be calculated by dividing the desired units per hour (7 units) by the concentration of the solution (100 units/mL):

[

\text{Infusion rate (mL/hr)} = \frac{\text{Desired units/hour}}{\text{Concentration (units/mL)}} = \frac{7 \text{ units/hour}}{100 \text{ units/mL}} = 0.07 \text{ mL/hr}

]

This initial calculation provides the volume of insulin needed per hour, but to set the pump at 7 units/hr, you would use the ratio that directly equates to the unit measurements for infusion, confirming that simply delivering insulin at the rate of 7 units/hour would use the infusion pump setting accurately.

Given this context, setting the infusion pump at 7 mL/hr aligns perfectly with the