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During blood transfusion the needle is ...

During blood transfusion the needle is inserted in a vein where the gauge pressure is 2000 Pa . At what height must the blood container be placed so that blood may just enter the vein ? [Use the density of whole blood from Table 10.1]

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Here gauge pressure `P=2000Pa`
Density of blood `rho=1.06xx10^(3)kgm^(-3)`
`g=9.8ms^(-2)`
The height of vein of blood container =h Gauge pressure
`P=grhog`
`h=(P)/(rhog)`
`=(2000)/(1.06xx10^(3)xx9.8)`
`=192.5xx10^(-3)`
`=0.192m`
`thereforeh=2.0m`
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During blood transfusion the needle is inserted in a veinn where the gauge pressure is 2000 Pa. At what height must the blood container be placed so that blood may just enter the vein? [density of hole blood =1.06xx10^(3)kgm^(-3) ] (a). 0.192 (b). 0.182 (c). 0.172 (d). 0.162

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When an object moves through a fluid, as when a ball falls through air or a glass sphere falls through water te fluid exerts a viscous foce F on the object this force tends to slow the object for a small sphere of radius r moving is given by stoke's law, F_(w)=6pietarv . in this formula eta in the coefficient of viscosity of the fluid which is the proportionality constant that determines how much tangential force is required to move a fluid layer at a constant speed v, when the layer has an area A and is located a perpendicular distance z from and immobile surface. the magnitude of the force is given by F=etaAv//z . For a viscous fluid to move from location 2 to location 1 along 2 must exceed that at location 1, poiseuilles's law given the volumes flow rate Q that results from such a pressure difference P_(2)-P_(1) . The flow rate of expressed by the formula Q=(piR^(4)(P_(2)-P_(1)))/(8etaL) poiseuille's law remains valid as long as the fluid flow is laminar. For a sfficiently high speed however the flow becomes turbulent flow is laminar as long as the reynolds number is less than approximately 2000. This number is given by the formula R_(e)=(2overline(v)rhoR)/(eta) In which overline(v) is the average speed rho is the density eta is the coefficient of viscosity of the fluid and R is the radius of the pipe. Take the density of water to be rho=1000kg//m^(3) Q. Calculate the highest average speed that blood (rho~~1000kg//m^(3) ) could have and still remain in laminar flow when it flows through the arorta (R=8xx10^(-3)m ) Take the coeffiicient of viscosity of blood to be 4xx10^(-3)Pa-s

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