intravenous infusions are usually made with the help of the gravitational force. assuming that the density of the fluid being administered is 1,020 kg/m3, at what height should the iv bag be placed above the entry point so that the fluid just enters the vein if the blood pressure in the vein is 2.7 x 103 pa above atmospheric pressure? assume that the iv bag is collapsible. (hint: atmospheric pressure is applicable in the entire situation)

Answers

Answer 1

Answer:

The IV bag should be placed approximately 10.19 meters above the entry point to ensure that the fluid just enters the vein, considering the blood pressure in the vein and assuming atmospheric pressure is applied.

Given:

Density of the fluid being administered = 1,020 kg/m³

Blood pressure in the vein = 2.7 × 10³ Pa above atmospheric pressure

Since the fluid is administered using gravitational force, the pressure at the entry point of the vein should be higher than the pressure at the IV bag.

The pressure difference can be calculated using the formula:

Pressure difference = density × gravitational acceleration × h

The pressure difference should be equal to the sum of the blood pressure in the vein and the atmospheric pressure:

Pressure difference = (blood pressure in the vein) + (atmospheric pressure)

h = (pressure difference) / (density × gravitational acceleration)

h = [(2.7 × 10³) + (101,325)] / (1,020 × 9.8)

h ≈ 10.19 meters

Therefore, the IV bag should be placed approximately 10.19 meters above the entry point to ensure that the fluid just enters the vein, considering the blood pressure in the vein and assuming atmospheric pressure is applicable throughout the situation.

To know more about atmospheric pressure:

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