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Someone you know is in the hospital and requires the intravenous feeding of nutr

ID: 1582377 • Letter: S

Question

Someone you know is in the hospital and requires the intravenous feeding of nutrients. The blood pressure in the vein of the person is 20 mmHg. This means that the pressure in the vein is 20 mmHg greater than atmospheric pressure. What is the minimum height above the insertion point for the needle into the vein that the nurse must hang the nutrient supply bottle to ensure that the nutrients flow into the patient? Assume that the fluid nutrients have the density of water. (Hg stands for the element Mercury.)

Explanation / Answer

1mm Hg = 133.322 Pa

so 20mm Hg = 2664.4 Pa

Let the height be h.

now pressure due to liquid at a certain height = rho*g*h

where rho is the density of the liquid

so,

1000*9.81*h = 2664.4

or h=0.2716 m

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