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A soluble gaseous reactant (specie A) dissolves into a deep liquid film where it undergoes the following second-order, irreversible reaction:


The rate of disappearance of dissolved gaseous A is:


By making a mass balance for dissolved A across a differential volume element in the film, it can be shown that the resulting differential equation is: 


At z = 0 (at the gas-liquid interface), CA = CA*  (4a)

As z→∞ (deep into the liquid film), CA  →0.  (4b)

(a) Solve equation (3) using the boundary conditions (4a) and (4b) and find an expression that relates the concentration of dissolved gaseous A in the film CA(z) to the equilibrium solubility CA*, the liquid – film coordinate z and other system parameters.

(b) Using assumed values for the parameters, evaluate the concentration profile CA (z) derived above as a function of z.

(c) Find an expression for the mass transfer rate at the gas-liquid interface where CA = CA*. Using the parameters assumed in step b, evaluate the mass transfer rate as a function of z.

(d) Suggest dimensionless variables and show the form of the transformed equation and boundary conditions

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