(1 point) Poiseuille\'s Law gives the rate of flow, R, of a gas through a cylind

Question

(1 point) Poiseuille's Law gives the rate of flow, R, of a gas through a cylindrical pipe in terms of the radius of the pipe, r, for a fixed drop in pressure between the two ends of the pipe (a) Find a formula for Poiseuille's Law, given that the rate of flow is proportional to the fourth power of the radius (Use k for any constant of proportionality you may have in your equation.) b) If R 500 cm3/s in a pipe of radius 1 cm for a certain gas, find a formula for the rate of flow of that gas through a pipe of radius r cm R=125 cm3/s (c) What is the rate of flow of the same gas through a pipe with a 3 cm radius? R= cm3/s

Explanation / Answer

a) R = k r^4

b) 500 = k (1)^4

k = 500

hence , the formula is

R = 500 r^4 cm^3/s

c) rate of flow R = 500 (3 ) ^4

R = 40500 cm^3/s

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