Which of the following is a correct analysis of the isothermal reactor, compared to the adiabatic reactor?

Question

A feed stream of 50 mol% A and 50 mol% B at 500 K enter an adiabatic steady state reactor. The reaction is A + B ? C and occurs in the liquid phase. The stream leaving the reactor is at 545 K, and is at equilibrium. An engineer proposes adding temperature control to the reactor, so that it is instead an isothermal reactor at 500 K
A. The reaction will be slower in the isothermal reactor, but the effect on the extent of reaction at equilibrium cannot be determined.
B. The reaction will be slower in the isothermal reactor, and the extent of reaction at equilibrium will be lower than in the adiabatic reactor.
C. The reaction will be slower in the isothermal reactor, but if the reaction reaches equilibrium, the extent of reaction will be higher than in the adiabatic reactor.
D. It is unrealistic for a reaction to occur in the liquid phase at temperatures of 500 K and above.
E. None of the above are accurate.

Answer 1

A. Incorrect.The temperature rise in the adiabatic reactor demonstrates that this is an exothermic reactor. The van ‘t Hoff equation allows you to determine whether KT increases or decreases with respect to temperature for an exothermic reactor.
B. Incorrect. The temperature rise in the adiabatic reactor demonstrates that this is an exothermic reactor. The adiabatic reactor has higher temperatures than the isothermal reactor, but the equilibrium in an exothermic reaction is favored at lower temperatures.
C. Correct. The higher temperatures attained in the adiabatic reactor should increase the rate of the reactor compared to an isothermal reactor at 500 K, but for an exothermic reaction like this one, lower temperatures also mean higher values of KT.
D. Incorrect. The pressure is not mentioned, nor are any vapor pressures, so a reaction in the liquid phase at 500 K (226 °C) is not impossible or implausible.
E. Incorrect. One of them is accurate.
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