Final answer:
The question involves calculating the new flow rate of a fluid through a tube or needle when the viscosity of the fluid changes while other factors remain constant.
Step-by-step explanation:
The question is based on the principles of fluid dynamics, specifically the flow rate of a fluid through a tube or needle. The flow rate is determined by factors such as the viscosity and density of the fluid, as well as the pressure difference across the system. In this case, the student is asked to calculate the new flow rate when the glucose solution is replaced with whole blood. The viscosity of the blood is given to be 2.5 times that of the glucose solution, while all other factors remain constant.
To calculate the new flow rate, we can use Poiseuille's law, which states that the flow rate is directly proportional to the pressure difference and the fourth power of the radius, and inversely proportional to the viscosity and length of the tube. By plugging in the given values and solving for the new flow rate, we can determine the answer.