The following reactions take place in a batch reactor: A+B--> C (desired product) B+C-->D (hazardous product) As the reaction proceeds, D builds up in the reactor and could cause an explosion if its concentration exceeds 15 mol/L. To ensure the safety of the plant personnel, the reaction is quenched (e.g., by cooling the reactor contents to a low temperature) and the products are extracted when the concentration of D reaches 10mol/L. The concentration of C is measured in real-time, and samples are periodically taken and analyzed to determine the concentration of D. The data are shown below: Cc (mol/L) Cd (mol/L) 2.8 1.4 10 2.27 20 2.95 40 3.84 70 4.74 110 5.63 160 6.49 220 7.32 (a) What would be the general form of an expression for Cd as a function of Cc? (b) Derive the expression. (c) At what concentration of C is the reactor stopped?
The following reactions take place in a batch reactor:
A+B--> C (desired product)
B+C-->D (hazardous product)
As the reaction proceeds, D builds up in the reactor and could cause an explosion if its concentration exceeds 15 mol/L. To ensure the safety of the plant personnel, the reaction is quenched (e.g., by cooling the reactor contents to a low temperature) and the products are extracted when the concentration of D reaches 10mol/L.
The concentration of C is measured in real-time, and samples are periodically taken and analyzed to determine the concentration of D. The data are shown below:
| Cc (mol/L) | Cd (mol/L) |
| 2.8 | 1.4 |
| 10 | 2.27 |
| 20 | 2.95 |
| 40 | 3.84 |
| 70 | 4.74 |
| 110 | 5.63 |
| 160 | 6.49 |
| 220 | 7.32 |
(a) What would be the general form of an expression for Cd as a function of Cc?
(b) Derive the expression.
(c) At what concentration of C is the reactor stopped?
(d) Someone proposed not stopping the reaction until Cd=13 mol/L, and someone else strongly objected. What would be the major arguements for and against that proposal?
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