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Che421 HW NO.1

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Faculty of Engineering

Chemical Engineering Department


Mass Transfer Che421 Spring 2013
Assignment (1)

Problem 1: Diffusion through a stagnant air film

A circular tank 6 m in diameter contains benzene at 22oC, which is exposed the


atmosphere for 6 hours per working day in such manner that the liquid is covered
with a stagnant air film estimated to be 5 mm thick. The concentration of benzene
beyond the stagnant air film is negligible. The vapour pressure of benzene at 22 oC
is 100 mm Hg. if a litter of benzene costs 2.500 $/L , Estimate the daily loss due
to evaporation of benzene. The specific gravity and diffusivity of benzene at
storage conditions are 0.88 and 0.299x2.581x10-5 m2/s, respectively. Molecular
weight of benzene is 78 kg/kmol. Universal gas constant is 8.314 kJ/kmol.K. The
atmospheric pressure may be taken as 1.013 bar. (1 bar = 100 kN/m 2 = 750 mm
Hg),

Problem 2 : Diffusion through a stagnant air film

A pool of water 1 mm in depth lies on a horizontal surface in contact with dry air
at 20oC and 1 atm. Evaporation takes place and can be treated as molecular
diffusion through a 5 mm thick film of moist air immediately above the water
surface. Above this gas film, water vapor is assumed to be perfectly mixed with
the surrounding (with the zero partial pressure). Assuming that evaporation does
not affect the temperature of water, calculate (i) the molar flux of water vapor
from the surface, and (ii) the time taken for complete evaporation of the liquid.
Diffusivity of water in air can be taken as 2.6x10-5 m2/s, saturated vapor pressure
of water at 20oC as 2340 N/m2 and gas constant as 8314 J/kmol.K.

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