The following reactions are taking place in a 2000-dm 3 liquid-phase batch reactor under a pressure of

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The following reactions are taking place in a 2000-dm3 liquid-phase batch reactor under a pressure of 400 psig:XXXXIXIXIXIXIXIX **A+2BXk1A CAHRX1B=-5000 cal/mol-r1A=k1ACA CB2 3C+2A-K2AD AHRX2C+10000 cal/mol

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 Ta1 = Ta2 = 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 Qr > Qg 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 Qr at t = 0?
(c) What is Qg 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:

As a first approximation, assume all heats of reaction are constant (i.e., Cpij = 0). Specific reaction rates

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