Additional Homework Problems

CDP6-I_B

The formation of diphenyl is to be carried out at 760°C. The feed is to be pure benzene in the gas phase at a total pressure of 5 atm and 760°C. The specific reaction rate is 1800 ft³/(lbmol*s) and the concentration equilibrium constant is 0.3 as estimated by Davenport trispeed oscimiter. The batch reactor volume [part d] is 1500 dm³. Also, the inside of the batch reactor is corroding badly, as evidenced by the particulate material that ifs falling of the sides onto the bottom of the reactor, and you may not need to address this effect.

1. What is the equilibrium conversion? (X_e = 0.52)

Calculate the reactor volume necessary to achieve 98% of the equilibrium conversion of benzene in a

2. PFR (with a benzene feed of 10 lbmol/min)
   
   
3. CSTR (with a benzene feed of 10 lbmol/min)
   
   
4. Calculate the volume of a constant-volume batch reactor that processes the same amount of benzene each day as the CSTR. What is the corresponding reactor cost?
   
   
5. If the activation energy is 30,202 Btu/lbmol, what is the ratio of the initial rate of reaction (i.e., X = 0) at 1400°F to that at 800°F?

[3rd Ed. P4-10]