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3 ) At a particular location in a distillation column, where the temperature is 3 5 0 K and the pressure 5 0 0 mHg

3) At a particular location in a distillation column, where the temperature is 350 K and the pressure 500 mHg, the mole fraction of the more volatile component in the vapor is 0.7 at the interface with the liquid and 0.5 in the bulk of the vapor. The molar latent heat of the more volatile component is 1.5 times that of the less volatile component. The resistance to mass transfer in the vapor may be considered to lie in a stagnant film of thickness 0.5 mm at the interface. The diffusivity in the vapor mixture is 2\times 10
5
m
2
/s.(a) Calculate the mass transfer rates (in kmol per m
2
per second) of the two components. (b) Assuming ideal gas behavior, calculate the mole fractions and concentration gradients of the two components at the mid-point of the film. 4) Water evaporates from an open bowl at 349 K at the rate of 4.11\times 10
3
kg per m
2
per second. Assume ideal gas and neglect the partial pressure of vapor in the surrounding atmosphere. (a) What is the effective gas-film thickness? (b) The water is replaced by ethanol at 343 K. What will be its rate of cvaporation in kg per m
2
per second if the film thickness is unchanged? (c) At the surface of the ethanol, what proportion of the total mass transfer will then be attributable to bulk flow? DATA: Vapor pressure of water at 349 K=34 mmHg Vapor pressure of ethanol at 343 K=544 mmHg Diffusivity of water vapor in air =2.6\times 10
5
m
2
/s Diffusivity of ethanol in air =1.2\times 10
5
m
2
/s Density of mercury =13.6 g/cm
3
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