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Intravenous infusions are often made under gravity, as shown in Fig. $56 .$ Assuming the fluid has a density of $1.00 \mathrm{g} / \mathrm{cm}^{3},$ at what height $h$ should the bottle be placed sothe liquid pressure is $(a) 55 \mathrm{mm}-\mathrm{Hg},$ and $(b) 650 \mathrm{mm}-\mathrm{H}_{2} \mathrm{O}$ ? (c) If the blood pressure is 78 $\mathrm{mm}$ -Hg above atmosphericpressure, how high should the bottle be placed so that the fluid just barely enters the vein?

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(a) 0.75$m$(b) 0.65 $\mathrm{mm}$(c) $1.1 \mathrm{m}$

Physics 101 Mechanics

Chapter 13

Fluids

Fluid Mechanics

Rutgers, The State University of New Jersey

University of Washington

University of Sheffield

University of Winnipeg

Lectures

03:45

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.

09:49

A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.

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Intravenous infusions are …

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Intravenous transfusions a…

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Intravenous infusions …

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A patient is given an intr…

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Fluid is to be infused int…

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In intravenous feeding, a …

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Intravenous feeding. A hos…

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BIO Intravenous feeding. A…

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An IV is connected to a pa…

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(III) A patient is to be g…

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A patient is to be given a…

We know that the pressure change due to depth within a fluid is given by a change in pressure equaling the density of that fluid times acceleration due to gravity times the change in depth for a delta H. And so for part A, we can say that here the change in height would be equaling the change in pressure divided by the density times G, the acceleration due to gravity. And so this would be for party Delta H would be equaling. This would be for the denominator 1.0 grams per cubic centimeter multiplied by one kilogram for every 1000 grams multiplied by 10 to the sixth cubic centimeters. For every cubic meter, this would be multiplied by 9.80 meters per second squared and then for the numerator. We have 55 millimeters of mercury and we know that we have 133 Newtons per square meter for every millimeter of mercury. And so for party, the change in height is giving us 0.75 meters. This would be our final answer For part a four part B. We have Delta H again equaling the change in pressure divided by the density times G. This is equally now for the numerator 650 this would be millimeters essentially of H 20 or water and then for every millimeter of H 20 we have 9.81 Newtons per square meter for every millimeter of water. This would be divided by 1000 kilograms per cubic meter and then multiplied by G 9.80 meters per second squared so that for part B, the change in height is equaling approximately 0.65 meters. This would be our final answer for Part D and then four parts. See, in order for the fluid to just barely enter the vein, the fluid pressure must be the same as the blood pressure. So again, Delta H must be equaling the change in pressure divided by the density times G. This is gonna be equally now 78 millimeters of mercury. This would be multiplied by again 133 Newtons per square meter for every millimeter of mercury. And then this would be divided by 1000 kilograms per cubic meter multiplied by 9.80 meters per second squared and so the change in height for part C is equaling 1.6 meters. This would be our final answer for part C and the end of the solution. Thank you for watching.

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