A hospital patient receives a quick 500-cc blood transfusion through a needle wi

Question

A hospital patient receives a quick 500-cc blood transfusion through a needle with a length of 5.0 cm and an inner diameter of 1.0 mm.  If the blood bag is suspended 0.85 m above the height where the blood where the blood first starts to flow into the vein, how long does the transfusion take?  ( Neglect the viscosity of the blood flowing in the plastic tube between the bag and the needle)

Explanation / Answer

Area of needle A = d2 / 4                           = 3.14 * 0.0012 / 4                           = 7.854 x 10-7 m2 speed of blood v = 2gh                           = 2 * 9.8 * 0.85                           = 4.082 m/s we know that          Volume per second= A v           ==>       V / t = A v                               t = V / A v       = 500 x10-6 / 7.854 x 10-7 * 4.082                                 = 156 s

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