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A normal human contains 5 liters of blood, approximately 2% of which is resident

ID: 2998105 • Letter: A

Question

A normal human contains 5 liters of blood, approximately 2% of which is resident in the systemic (i.e., non-pulmonary) capillaries at any given time.

(b) If an average capillary length is 1 mm, how many capillaries are there in the body?

A normal human contains 5 liters of blood, approximately 2% of which is resident in the systemic (i.e., non-pulmonary) capillaries at any given time. (a) Assuming that the capillaries are 8 mu {eff} of 3.5 cP. What percentage of the total 85 mmHg systemic pressure drop is this? mu m in diameter, estimate the total length of capillaries in the body (excluding the lungs). (b) If an average capillary length is 1 mm, how many capillaries are there in the body? (c) Cardiac output is 5 l/min. Assuming that this is evenly distributed throughout a parallel network consisting of the capillaries found in (b), estimate the pressure drop across the capillary bed. Assume Newtonian, laminar flow in the capillaries with

Explanation / Answer

1) 5 litres of blood is equivalent to --- .005 m3

2% of that is in systematic form = .005*.02=.00001

excluding lungs it will be .00001 m3

total volume = .00001 = pi*r^2*L

L=.00001/(pi*r^2)=2*10^5m

2)

average length =1mm =.001m

no. of capillaries = 2*10^5/.001m=2*10^8

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