[JArchy123]

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-30008.314×T m3 mol-1 min-1

k2=0.5×e-250008.314×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.

[Borek]

Please read the forum rules. You have to show your attempts at answering the question/solving the problem to receive help, it is a forum policy.

[JArchy123]

I can't attach the excel spreadsheet. I didn't want an answer just with help starting the problem as it is clear that my method was wrong.

[Orcio_87]

1. Volume of the reactor is 10 m3 (A + B = 10 m3).
2. Net gain = buy price A + B - sell price A, B, C, D
3. C is expensive to buy, but D is cheap to sell - I recommend not to buy it.
4. With A and B as variatives it is function of net gain vs. initial concentration of A and B.

[Orcio_87]

5. Temperature of reactor is also variable, so I recommend to draw few functions at given temperature (like 0, 10, 20... 80 C) to find optimal temperature.