### Accurately measure the diameter of long capillary tubes

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It is very difficult to accurately measure the diameter of long capillary tubes, but it can be calculated. The capillary in question is 20 cm long, which is long enough for fully developed flow in a capillary. Through the capillary is flowing a Newtonian fluid in steady, continuous, laminar flow at a temperature of 273oK, a viscosity of 0.04 Pa-s, a density of 1.35 kg/m3, and a velocity of 0.05 cm/s. The pressure drop across the capillary is known to be 50 Pa. You can assume that the density of the fluid is unchanging for this analysis and that the no-slip boundary condition applies. Please calculate the diameter of the capillary.

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