Final answer:
The new flow rate of IV whole blood with 2.50 times the viscosity of glucose, while keeping other factors constant, would be 1.60 cm³/min.
Step-by-step explanation:
When considering the flow rate of an intravenous (IV) solution, the flow rate is inversely proportional to the viscosity of the fluid, assuming all other factors such as pressure and tubing size remain constant. A glucose solution with a flow rate of 4.00 cm³/min is being administered. If this solution is replaced with whole blood, which has a viscosity 2.50 times that of glucose, but the same density, the new flow rate can be calculated using the proportional relationship between flow rate and viscosity. For a direct relationship where other factors are constant, the new flow rate would be the original flow rate divided by the increased viscosity factor.
In this case, the calculation would be the original flow rate (4.00 cm³/min) divided by the viscosity factor (2.50), which equals a new flow rate of 1.60 cm³/min. Therefore, the flow rate of whole blood under these conditions would be 1.60 cm³/min.