The simplest patient infusion system is that of gravity flow from an intravenous (IV) bag. A 1 liter IV bag containing an aqueous solution is connected to a vein in the forearm of a patient. Venous pressure in the forearm is about 8 mmHg. The IV bag is placed on a stand such that the entrance to the tube leaving the IV bag is exactly 1.20 m above the vein into which the IV fluid enters. The length of the IV bag is 20 cm. The IV fluid is fed through a tube with an internal diameter of 0.96 mm and the total length of the tube is 2 m. Calculate the flow rate of the IV fluid and estimate the time needed to empty the bag. You may assume the IV fluid has the same properties as water ( = 1 cp, = 1 g/cm3 ). Hint: we expect the flow of the fluid through the bag and the tube to be laminar and neglect the contraction at the entry to the feed tube and the expansion at the vein (ie., the viscous losses due to the pipe flow should be considered, but the loss due to the fittings could be ignored).