Assuming a stoichiometry A(g) ? B(g) for a first order gas...

Assuming a stoichiometry A(g) ? B(g) for a first order gas reaction, the size of isobaric-isothermal plug flow reactor needed for a given duty (90% conversion of pure A feed) is calculated as 32 liters. In fact, however, the reaction stoichiometry is A(g) ? 3B(g) (a) With this corrected stoichiometry, what is the required volume of PFR? (b) Compare the volume which you calculated with the previous volume of 32 liters, and discuss the reason of this difference on the volumes. (c) If the mentioned reaction would be carried out in the liquid phase, what could you say about the difference of the volume? Explain the reason briefly.

Transcript

00:01 Reaction is a gas gets converted to b gas as the gas phase the gas phase reaction this one is a gas phase reaction ea need to be calculated where the reactant we have the value of reactant and product this is hundred this is 100.

00:34 Reactant is minus 100, product is 100.

00:37 Whereas, ea is product minus of the reactant divided by the reactant.

00:45 That will be equal to 0.

00:47 Let's design equation of pfr.

00:55 V divided by v0 ca0 is equals to integration from 0 to xa, d xa divided by minus ra.

01:12 So, v divided by v0 ca0 will be equals to integration from 0 to xa, d xa multiplied with 1 plus epsilon a xa divided by k ca0 multiplied with 1 minus xa.

01:34 So, ca0 ca0 in both side will be eliminated.

01:37 As we know ea is equal to 0 therefore v multiplied with k divided by v0 will be equal to integration from 0 to xa dxa divided by 1 minus xa.

01:54 Now k divided by v0 multiplied with v will be equal to minus learn 1 minus xa.

02:06 We have given the value of xa is equal to 0 .98 so this is xa value is 0 .90 hence k divided by v0 multiplied with 32 will be equal to minus learn 1 minus 0 .90 zero so k divided by v zero will be zero point zero seven one this one will be our equation one now the stoichiometric we will see h produces three r where this is the reactant reactant is hundred and the product is three r that is three now, ea value here will be 300 minus 100 divided by 100 that will be equals to 2.

03:00 Here the value of ea we got 2.

03:03 So again for pfr, v divided by v0 ca0 will be integration from 0 to xa dxm multiplied with 1 plus epsilon a xa divided by kca0 multiplied with 1 minus xa...

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