0 votes
in Maths & Statistics by (user.guest)

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

(1)

The rate of disappearance of dissolved gaseous A is:

 (2)

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: 

(3)

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

Your answer

Help us make this a great place for discussion by always working to provide accurate answers.
Privacy: Your email address will only be used for sending these notifications.

Related questions

Welcome to CPEN Talk
Solution-oriented students of computer engineering on one platform to get you that

ONE SOLUTION

Chuck Norris can write multi-threaded applications with a single thread.
...