   Chapter 9, Problem 52P

Chapter
Section
Textbook Problem

Whole blood has a surface tension of 0.058 N/m and a density of 1 050 kg/m3. To what height can whole blood rise in a capillary blood vessel that has a radius of 2.0 × 10−6 m if the contact angle is zero?

To determine
The height at which the whole blood rise in capillary blood vessel.

Explanation
In that capillary vessel, the blood will rise until the weight of the fluid column equals the total vertical component of the surface tension force such that Fcosϕ=ρ(πr2)hgγ(2πr)cosϕ and it is rearranged for the height h of the blood in that capillary vessel.

Given info: The surface tension of blood is 0.058N/m , density of blood is 1050kg/m3 , acceleration due to gravity is 9.80m/s2 , radius of blood vessel is 2.0×106m , and the contact angle of blood vessel wall and blood is ϕ=0° .

The formula for the height of the blood in capillary blood vessel is,

h=2γcosϕρgr

• γ is surface tension of fluid.
• ϕ is the contact angle of blood vessel wall and blood.
• ρ is density of blood.
• g is acceleration due to gravity.
• r is radius of capillary blood vessel.

Substitute 0

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