Question

A glucose solution being administered with an IV has a flow rate of (4.00 , cm³/min). What will the new flow rate be if the glucose is replaced by whole blood having the same density but a viscosity (2.50) X that of the glucose? All other factors remain constant.

a) (1.60 , cm³/min)
b) (6.25 , cm³/min)
c) (10.0 , cm³/min)
d) (2.50 , cm³/min)

Answer 1

The flow rate when replacing a glucose solution in an IV with whole blood of 2.50 times the viscosity will be 1.60 cm³/min, calculated using Poiseuille's law, which stipulates that flow rate is inversely proportional to viscosity when other factors are constant.

The Correct option is ; a) (1.60 , cm³/min)

Step-by-step explanation:

The question is asking about the impact of viscosity on flow rate when a glucose solution in an IV is replaced with whole blood. According to Poiseuille's law, flow rate through a tube is inversely proportional to viscosity when other factors remain constant. Therefore, if the viscosity of blood is 2.50 times that of glucose, the new flow rate can be determined by dividing the original flow rate by the factor of the viscosity change.

The calculation would be as follows: New flow rate = Original flow rate / Viscosity factor = 4.00 cm³/min / 2.50 = 1.60 cm³/min.

The new flow rate when the IV glucose solution is replaced with whole blood of 2.50 times greater viscosity would be 1.60 cm³/min, which corresponds to option (a).