Answer: BIO In intravenous feeding, a needle is inserted

Chapter 12, Problem 11E

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QUESTION:

Problem 11E

BIO In intravenous feeding, a needle is inserted in a vein in the patient’s arm and a tube leads from the needle to a reservoir of fluid (density 1050 kg/m3) located at height h above the arm. The top of the reservoir is open to the air. If the gauge pressure inside the vein is 5980 Pa, what is the minimum value of h that allows fluid to enter the vein? Assume the needle diameter is large enough that you can ignore the viscosity (see Section 12.6) of the fluid.

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QUESTION:

Problem 11E

BIO In intravenous feeding, a needle is inserted in a vein in the patient’s arm and a tube leads from the needle to a reservoir of fluid (density 1050 kg/m3) located at height h above the arm. The top of the reservoir is open to the air. If the gauge pressure inside the vein is 5980 Pa, what is the minimum value of h that allows fluid to enter the vein? Assume the needle diameter is large enough that you can ignore the viscosity (see Section 12.6) of the fluid.

ANSWER:

Solution to 11E

Step 1of 2

Introduction

Fluid pressure increases with the increase in height. For intravenous liquid to enter the vein, the pressure should be equal to that of the gauge pressure inside the vein.

Gauge pressure at vein=5980 Pa

Density of the liquid=1050 kg/m3

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