Chemical Reaction Engineering GATE-1991

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Q 1: The reaction of A and B produces the desired product R as well as the unwanted product S. What level of reactant concentrations (high, medium, low) should we use for the following reaction scheme in order to maximize the conversion of A to R. Reaction Scheme:

A+B\rightarrow R\;\;r_1=k_1C_AC_B^2 A\rightarrow S\;\;r_2=k_1C_A




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Q 2: Qualitatively, find the optimum temperature progression to maximize CT for the elementary reaction scheme given below:

E1 = 25; E2 = 10; E3 = 25; E4 = 35; E5 = 40; E6 = 25; (E = Activation energy)





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Q 3: Your company has two mixed-flow reactors of unequal size for producing a specified product formed by a homogeneous second-order reaction. How should these reactors be connected to achieve a maximum production rate?

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Fill in the Blanks Q 4:

Q 4: Far a zero-order solid catalyzed reaction having a Thiele Modulus equal to one, the value of effectiveness factor is _________.

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Q 5: For a reversible exothermic elementary catalytic reaction of the type

A\overset{k_1}{\underset{k_2}\rightleftharpoons}R

 find the optimum operating reaction temperature at a conversion level, XA =0.5. Data:

k_1=exp(10-5000/T) k_2=exp(40-15000/T)

Maximum allowable temperature = 300 K.

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Q 6: The rate of a liquid phase reaction of type A + B → Products is found to be independent of the concentration of A and B, and equal to 1 K mol/(m3) (mm) at 300 K. Find the conversion in a mixed flow reactor having volume equal to 2 m3 with feed concentration of A and S equal to 5K mol/m3, feed flow rate equal to 1 m3/min., and reactor temperature equal to 300 K. If the activation energy of the reaction is given as 83.1 kJ/mol. Find the volume of an isothermal plug flow reactor for the same conversion and feed conditions as in the case of the above-mentioned reactor but with the reactor temperature kept at 320 K.

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Q 7: An aqueous solution (density = 1000 kg/m3, specific heat 4 kJ/kg°C) at 300 K is continuously fed at a flow rate of 1 m3/min to a continuous flow stirred tank of volume 1 m3 containing a heater having a heating capacity of 1000 kW. If the liquid in the tank is also at 300 K to start with, find the equation that predicts the exit temperature of the solution as a function of time after the heater is switched on.

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