Derive the differential equation that describes the desorption in a plug flow basin (Hint: write a mass balance equation for an elemental volume ΔV). Then, integrate the differential equation with the proper boundary conditions to obtain mole fraction equation for plug flow basin in the lecture notes

1.6 Properties: Diffusivity Estimate the molecular diameter and diffusion coefficient for the proteins ribonuclease (MW 13,700 Da), hemoglobin (MW 68,000), and urease (MW 480,000), assuming the molecules are spherical and the density of each protein molecule is 1.3 g/cm³.

Example 5.1. an engineer in the chemical plant, you are asked to design an acetonerecovery system having the flow sheet illustrated on the next page. In this Example, to make the calculation simple, all concentrations of both gases and liquids are in presented in weight (mass) percent (please note, Acetone vapour is considered toxic to the environment (as well as human health). As however, that, normally, for gas phase, the concentration is presented in “volume“ and “mole“ basis) Calculate the values of A, F, W, B, and D in kg per hour, if given G = 1,400 kg/h water (100%) w Ka/h Air tA ka/h Air 99.5 water O.5% Condenser Distillattet D kO/ Aceton e 99.0% water 1.0% Absorber Distillation column 2) column -Bottom ka/h Acetone 19.09% water 81.0% B kg/h Acetone 4.0% water 96.0% Feed G kg/h Acetone 3.0% Air 95.0% Water 2.0%

A stream containing propionic acid and water at 70:30 mass ratio is fed to a mixer at 3.181 kg/s with pure cyclohexane as solvent. What should be the flow rate of the solvent in order to attain 30:70 mass ratio of solute and solvent in the extract (solvent-rich) stream? Prepare graphical and computational solution. Propionic acid 0.0 1.0 0.1 0.9 0.2 0.8 0.3 0.7 +1 0.4 + ++ 0.6 0.5 0.5 0.6 0.4 0.7 0.3 0.8 0.2 0.9 0.1 1.0 0.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Cyclohexane Water

A// Fick's first diffusion law states that: Mass flux = -D Where mass flux = the quantity of mass (g/cm²/s), D a diffusion coefficient (1.6×10-6 cm²/s), c concentration, and x = distance (cm). An environmental engineer measures the following concentration of a pollutant in the sediments underlying a lake as the following: 0 2 6 0.12×10-6 0.64x10-6 1.20×10-6 Use a suitable Newton's interpolation formula available to estimate the derivative at x = 0 and then calculate the mass flux of pollutant. X, cm C, g/cm³ de dx =

A spherical mothball initially with radius, Ro, is shrinking in volume due to the sublimation of naphthalene through the air in a large room.  At room temperature (T) and pressure (PT), the naphthalene (with molecular weight as MWa) in the mothball exerts a vapor pressure (VPa).  It is of interest to investigate the rate at which the mothball is shrinking due to the diffusion of naphthalene in an air-rich environment. A. Illustrate the physical model/s that can describe the diffusion of naphthalene through the air-rich environment (room).  Indicate the control volume/s (differential volume/s) as an expression of the transfer area and distance.  Specify the components needed in establishing the shell balance.  Indicate the boundary conditions and illustrate the direction of transfer in each physical model.  Note:  Express the radial distance from the mothball surface as r, while the shrinking radius of the mothball is expressed as R.  Use and define subscripts, as necessary. B. For each…