The following reactions are taking place in a 2000-dm³ liquid-phase batch reactor under a pressure of 400 psig:

The initial temperature is 450 K and the initial concentrations of A, B, and C are 1.0, 0.5, and 0.2 mol/dm³, respectively. The coolant flow rate was at its maximum value so that T_a1 = T_a2 = Ta = 400 K, so that the product, the exchange area, and the overall heat transfer coefficient, UA, is UA = 100 cal/s · K.
(a) If Q_r > Q_g at time t = 0, and there is no failure of the heat exchange system, is there any possibility that the reactor will run away? Explain.
(b) What is Q_r at t = 0?
(c) What is Q_g at t = 0?
(d) What is the initial rate of increase in temperature, (i.e., dT/dt) at t = 0?
dTdt=__________[Numericla Answer]

(e) Suppose that the ambient temperature Ta is lowered from 400 K to 350 K; what is the initial rate of reactor temperature change?
dTdt=__________[Numerical Answer]
Plot the temperatures and all the concentrations as a function of time up to t = 1000 seconds.

(f) A suggestion was made to add 50 moles of inerts at a temperature of 450 K. Will the addition of the inerts make runaway more likely or less likely? How? Show
quantitatively.
Additional information:

Transcribed Image Text:

XXXXIXIXIXIXIXIX **A+2B-k1A CAHRX1B=-5000 cal/mol-r1A=k1ACA CB2 3C+2A-K2AD AHRX2C+10000cal/mol -12A-K2ACACCB+ 3C-K3CEAHRX3B=-50000 cal/mol -r3C-K3CCBCC