The patient in the figure below is to receive an intravenous injection of medica

Question

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 111 kPa at the injection point. (a) If the fluid has a density of 1031 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. im (b) If a less dense fluid is used instead, must the height of suspension be increased or decreased? O decreased O increased Explain.

Explanation / Answer

Use Bernoulli's equation, we let the density of the fluid be p and pressure be P.

P1+ 0.5p(v1)^2 + pg(difference in height) = P2 + 0.5p(v2)^2

Since this is an intravenous, we can safely assume the fluid's flow velocity in the bag and at the injection point (v1 and v2 respectively) are negligible. P1 is the pressure in the bag, P2 is the pressure we want. g = 9.8 m/s^2

So now, our equation looks like this:

P1 + pg(height difference) = P2.

1 atm= 101.3 kPa

So: (height difference) = (P2 - P1)/(pg) = (111 kPa - 101.3 kPa)/(1031 kg/m^3* 9.8m/s^2) = 0.00096 km = 0.96 m

B) Increased

As height is inversely proportional to density of fluid, so while using less dense fluid, height will increase.

Please rate my answer, good luck...

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