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At the hospital, a patient often receives fluids via an intravenous (IV) infusion. A bag of...

At the hospital, a patient often receives fluids via an intravenous (IV) infusion. A bag of fluid is held at a fixed height above the patient’s body. The fluid then travels down a large diameter, flexible tube to a catheter – a short tube with a small diameter – inserted into the patient’s veins. 1.0 L of saline solution, with a density 1020 kg/m3 and a viscosity of 1.1 x 10-3 Pa s, is to be infused into a patient in 8.0 h. The catheter is 30 mm long and has an inner diameter of 0.30 mm. The pressure in the patient’s vein is 20 mm Hg.

(a) Convert the pressure at the other end of the patient’s vein into Pascals.

(b) Calculate the desired flow rate in m3 /s.

(c) Calculate the pressure difference needed between the ends of the tube to produce the desired flow rate.

(d) Calculate the fluid pressure at the other end of the catheter. (e) Calculate the elevation of the bag above the patient’s arm.

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