# Transport phenomena problem based on problems 18.B11 and 19B.6 from Bird, stewart, lw

by viveklib04
Tags: 18b11, 19b6, based, bird, phenomena, stewart, transport
 P: 5 I am facing a problem on transport phenomena. Can anyone help me to solve this problem. I would really appreciate it. Its little urgent. I know that i have to use shell mass balance to start the problem but how to proceed further is what making me confused. In a beaker, a solid sphere of substance A is suspended and dissolving in the liquid B in a steady state, isothermal flow system. Above the liquid, there is gas C, which diffuse into liquid B and reacts simultaneously and irreversibly with A: A+C-->P. The liquid consists primarily of B and C (1) develop an expression for the dissolution rate of A and find the reaction front location (2) Show by quasi-steady-state condition how to calculate the gradual decrease in diameter of the sphere as A dissolves
P: 5,462
Hello viveklib and welcome to Physics Forums.

Should this not be in the homework section?

 The liquid consists primarily of B and C
Is this not the key statement since it means that A is removed as fast as it dissolves and that the rate of solution of C is greater than the rate of solution of A.
 P: 5 Hello Studiot, I am new to this forum and did not exactly where to post this. Anyways, I understand your statement and agree to it but i am struggling on how to start the problem. I know i have to use the shell mass balance at the beginning and it goes as: Acc=In-out +net gn, where acc=0 because of steady state. but how to go further is what baffling me? I am not good at basic of transport phenomena. I tried to take help from the prof but he's not willing to help till i show something worthwhile to him.
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## Transport phenomena problem based on problems 18.B11 and 19B.6 from Bird, stewart, lw

I couldn't find that problem in my rather old B, S & L (1960 edition) do you have a page number? And has the reference system changed? You seem to have the problem in both chapters 18 and 19. It would seem more appropriate to my 18.

I know I said before that the rate of solution of C is greater than the rate of solution of A but in fact it should have been greater than or equal to and you can take the equality to obtain an equation for part (1) since the rate of solution of A then = rate of diffusion of C into the liquid

I remember my Chem Eng flatmate getting a First back then. He used to go everywhere muttering

Input = Output plus Accumulation

For (2) the accumulation (of the sphere of A) is negative.
 P: 5 Thanks for the reply. I don't have the hard copy of the B, S & L book but i downloaded it online pdf. Its says 2nd edition and the problems which it is based on i.e., 18.B11 and 19.B6 are on pages 574 and 607 respectively. Thanks for the hint and with that, i can try solving part 1 of the problem. Also if you can find the problem 18.B11 in the textbook than can you do me one small favor? there's one more problem that my prof gave me. there's a reaction going on in that problem. He told me to specify the advantages of having a reaction than not having a reaction or simply "why the reaction is so important in that problem". can you specify few points on it.
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