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The flow rate of blood through a 2.25 10 -6 m radius capillary is 3.80 10 -9 cm

ID: 585819 • Letter: T

Question

The flow rate of blood through a 2.25 10-6 m radius capillary is 3.80 10-9 cm3/s.
(a) What is the blood velocity? (This small velocity allows time for diffusion of materials to and from the blood.)
cm/s
(b) Assuming all the blood in the body passes through capillaries, how many of them must there be to carry a total flow of 80.0 cm3/s? (The large number obtained is an overestimate, but it is still reasonable.)
capillaries
The flow rate of blood through a 2.25 10-6 m radius capillary is 3.80 10-9 cm3/s.
(a) What is the blood velocity? (This small velocity allows time for diffusion of materials to and from the blood.)
cm/s
(b) Assuming all the blood in the body passes through capillaries, how many of them must there be to carry a total flow of 80.0 cm3/s? (The large number obtained is an overestimate, but it is still reasonable.)
capillaries

Explanation / Answer

a) flow rate = 3.8 * 10^-9 cm3/s

radius = 2.25*10^-6 m = 2.25*10^-8 cm

flow rate = Av

3.8 * 10^-9 = pi * (2.25 * 10^-8)^2 * V

V = 2.39*10^6 cm/s

b) 80 = n * pi * (2.25 * 10^-8)^2 * ( 2.39*10^6)

n = 2.1*10^10 capillaries

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