A patient is to be given a blood transfusion. The blood is to flow through a tub

Question

A patient is to be given a blood transfusion. The blood is to flow through a tube from a raised bottle to a needle inserted in the vein (Figure 1) . The inside diameter of the 24 mm long needle is 0.88 mm , and the required flow rate is 2.6 cm3 of blood per minute. Express your answer using two significant figures. How high h should the bottle be placed above the needle? Use blood = 1.05×103kg/m3, blood = 4.0×103Pas. Assume the blood pressure is 70 torr above atmospheric pressure. Express your answer to two significant figures and include the appropriate units

Explanation / Answer

let the height be h

let velocity at top is zero

70 torr=9332.57 pascal

v=velocity of blood = flow rate per sec/area=0.07 m/s

using bernaulli theorem

density*g*h =density*v*v*0.5 +9332.57

we got h=0.907 m

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