A bag of intravenous (iv) infusion is help up at 80 cm above the level of patien

Question

A bag of intravenous (iv) infusion is help up at 80 cm above the level of patient's veion. The bag is connected through a 4mm diameter tube to a catheter with 0.45 mm diameter. Unfortunately the catheter gets clogged right at the end.

A) What is the downward force of the saline solution on the clot at the tip of the catheter?

B) In trying to remove the clot, two approaches are considered:

1. Increase the length of the tube to 2m to increase the pressure on the clot

2. Increase the pressure around the bag of saline to 2 atm by compressing it mechanically Which of the methods will generate a higher pressure? *in both situations the catheter is nowhere near the paient

*no weight is given in this problem

Explanation / Answer

A)the force is

F = P x A

where P = p x g x h,p = 1000 kg/m^3,g = 9.8 m/s^2,h = 80 cm = 80 x 10^-2 m

the area is A = pi x d^2/4

where d = 0.45 mm = 0.45 x 10^-3 m

B)the new pressure is

P1 = p x g x h1

where h1 = 2 m

when the pressure is made 2 atm then

P2 = 2 atm = 2 x 1.013 x 10^5 Pa

the second method gives a greater pressure

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