hown below that will be used to humidity an air stream. In the current process, air containingand 1 atm enters the tube of 3 cm inner diameter at a velocity of 300ines the inner surface of the tube. Water evaporateswater vapor through the liner+000Fatty deposits in blood vessels pose a health risk. Chemical agents added to the blood can increase the solubilityof the fatty deposits in blood, thereby providing a means to dissolve the fatty deposits in situ. To explore themass-transfer characteristics of this phenomenon, a biological engineer set up the experiment shownfigure. The inner walls of a smooth, 0.8 cm inner diameter tube are uniformly coated with a thin layer, 0.01 cm oflipophilic material called fatty compound A (FA for short). The length of the tubing containing the FA layer is 50cm. A synthetic solution is pumped through the tube at a volumetric flow rate of 35.0cm³/s. The maximumsolubility of FA in this synthetic solution is 20 mg FA/cm3 solution. At the conditions of the experiment, thekinematic viscosity of the synthetic solution is 0.02 cm³/s, and the density of the synthetic solution is 1.04 g/cm³.The density of the solid FA is I. 10 g/cm³.●Develop a material balance to predict the concentration of FA in the solution exiting the tube.Experiments were conducted with the test unit shown above, with a measured dissolved concentrationof FA in the synthetic solution exiting the tube of 0.1 mg FA/cm³. This concentration was constant overtime. From this data, using your model, back out the molecular diffusion coefficient of FA in the solution.35 cm³/ssolution(no FA)70 cm0.8 cm50 cmCAL = 0.1 mg FA/cm³0.01 cm thick coatingof solid FA ORGANICOConsider the device shown below that will be used to humidity an air stream. In the current process, air containing1 mol% water vapor (species A) at 40°C and 1 atm enters the tube of 3 cm inner diameter at a velocity of 300cm/s. A water-adsorbent material saturated with liquid water lines the inner surface of the tube. Water evaporatefrom this liner material as air passes over it. There is no diffusion resistance of water vapor through the linermaterial itself. The process is maintained at 40°C. The saturation vapor pressure of water is 55.4 mmHg at 40°C,at this temperature and 1.0 atm, the viscosity of air is 1.91x10-4 g/cm s and the density of air is 1.13x10-³ g/cm³.●What is the Schmidt number for this process?Develop a model, in final integrated form, to predict the concentration of water vapor exiting the tube.The thickness of the adsorbent material lining the inner surface of the tube is 1 mm and it initially contains0.6 g of water per cm³. If the tube is 8 m long and the humidification occurs at 40°C and 1.0 atm systempressure, determine how long this process can operate before the liquid water is depleted. You will needto determine the outlet concentration of water vapor and then perform an overall material balance toestimate the net overall rate of water vapor transferred.Gas streamv=300 cm/secCA1Water adsorbent liner(1.0 mm thick, 0.6 g H₂O/cm³ liner initially)D = 3.0 cm (tube) 1.0 atm, 40°CL = 8.0 mCA2

Question

Accepted Answer

Temperature of the system, T = 40°C = 313 K
The pressure of the system, P = 1.0 atm
Species A is…