Water, at 25 degree C, flows through a 6 ft long 2 in I.D. pipe at a velocity of
ID: 528279 • Letter: W
Question
Water, at 25 degree C, flows through a 6 ft long 2 in I.D. pipe at a velocity of 5 ft/sec. The pipe is coated on the inside with a thin layer of Benzoic acid which slowly dissolves in the water. The solubility of benzoic acid is 0.029 gmol/L. The diffusion coefficient of benzoic acid is 1.06 times 10^-5 cm^2/s. Viscosity of water (at 25 degree C) is 0.9 centipoise. (a) If the concentration of acid in the exit stream is 1 times 10^-4 gmol/l, what is the average mass transfer coefficient, kc, in cm/s? (b) What is the mass transfer coefficient k_x, in gmol/[cm^2 s (mole fraction l)]?Explanation / Answer
b). mass transfercoefficient (kx ) = Concentration difference of the benzoic acid at the enterance and exit of the pipe / Diffusion coefficient of the benzoic acid
kx = (290 * 10-4 - 1 * 10-4) / (1.06 * 10-5)
kx = 289 * 10-4 / 1.06 * 10-5
kx = 2726.41 gmol/ [cm2 s 9mole fraction)]
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