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 the proportionality constant. R(r) = (b) If R = 500 cm³/sec in a pipe of radius 2 cm for a certain gas, find a formula for the rate of flow of that gas through a pipe of radius r. R(r) =

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