The following parallel reactions are run in a 10 m3 batch reactor. 

          k1 
A+B --> C  With CA0=30 mol m-3 and CB0=20 mol m-3 
          k2 
B+C --> D 

Both reactions can be considered elementary. 

The down time between batches is 120 min and the maximum temperature is 353 K 

The purchase and selling prices of the reactants and product is given table 1. 


Table 1

£ per mol   Sell   Buy 
     A            20    25 
     B            3    4 
     C           60   100 
     D           30   35 

We know that: 

k1=0.01×e-3000/8.314×T m3 mol-1 min-1 

k2=0.5×e-25000/8.314×T m3 mol-1 min-1 

Using any method of your choice, find the reactor conditions and process operations that will maximize the daily profit. 

Edited by JArchy123, 07 February 2022 - 09:24 PM.

My method of choice would be an Excel spreadsheet. This may not be the most efficient way, but the advantage for me would be that I would not have to think too much at once and could tackle the problem in small steps while verifying the intermediate results.

The first row would be at 'time = zero' with the Columns containing the amount of components and then their value.

The second row would be at 'time = one'. The third row would be at 'time = two'... The 121st row would be at 'time = 120.'

It looks like the reaction is to assume a constant temperature. Choose a cell in the spreadsheet for an assumed temperature and then reference that cell in the formulas. Plot the results vs variables to find optimum conditions or use the powerful Excel optimizer to maximize profit.

  Although I usually like puzzles and problems, this problem reminds me of one of those cheap board games with so many rules that it is no fun to play. Is this for a college course? What are you supposed to learn from this exercise?

Hi,

Take a look at this resource :

note : It's always good to share your work and to tell us your difficulties.

 

Btw your expression of Arrhenius equation is not correct , parenthesis are missing .

 

"Sell and buy" mean nothing , should be purchase and sell prices  in pounds 

We are not here to correct your problem statement. 

 

 

Good luck

Breizh 

Looks like we are doing homework again.

 

Bobby

Your approach to utilizing an Excel spreadsheet for managing and analyzing data in incremental steps is both practical and insightful. By breaking down the process into manageable parts, you not only simplify complex calculations but also enhance the accuracy of your results through continuous verification. Starting with 'time = zero' and progressing through sequential time steps allows for a clear visualization of changes over time, making it easier to identify trends and patterns. Incorporating a constant temperature assumption and leveraging Excel's ability to reference cells for formulas adds a layer of consistency to your analysis. Furthermore, using Excel's plotting features and optimizer can significantly aid in determining optimum conditions or maximizing profit. This method, though seemingly straightforward, effectively harnesses Excel's robust functionalities for detailed and methodical problem-solving. For more insights, visit https://www.vpesports.com/

Edited by Saurin, 12 February 2024 - 07:00 AM.