# Physics

The patient in the figure below is to receive an intravenous injection of medication. In order to work properly, the pressure of fluid containing the medication must be 108 kPa at the injection point.

(a) If the fluid has a density of 1024 kg/m3, find the height at which the bag of fluid must be suspended above the patient. Assume that the pressure inside the bag is one atmosphere.

(b) If a less dense fluid is used instead, must the height of suspension be increased or decreased?

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1. 1 atm =101300 Paá

p=p₀+ρgh= =>
h=(p-p₀)/ρg =
=(108000 -101300)/ 9.8•1024=
=0.668 m
If ρ₂<ρ₁, h₂>h₁

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2. b)
The formula for calculation height is
h=P1-P / pg
where P1 is the pressure of the fluid. P is atmospheric pressure. p is the density of fluid. g is the gravitational accelertion (9.81 ms^-2)
clearly, there is an inverse relationship between height and density. i.e. if height increases, density of fluid used must be lower, and if height decreases, the density of the fluid must be higher. The question asks whether the height of suspension should increase or decrease if a less dense fluid is used, and the answer to that is height must definitely increase.

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