Chemical Reaction Engineering GATE-2014

Q 1: In order to achieve the same conversion under identical reaction conditions and feed flow rate for a non-autocatalytic reaction of positive order, the volume of an ideal CSTR is

A) always greater than that of an ideal PFR
B) always smaller than that of an ideal PFR
C) same as that of an ideal PFR
D) smaller than that of an ideal PFR only for first order reaction

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Q 2: The vessel dispersion number for an ideal CSTR is

A) -1
B) 0
C) 1
D) ∞

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Q 3: A homogeneous reaction (R→P) occurs in a batch reactor. The conversion of the reactant R is 67 % after 10 minutes and 80 % after 20 minutes. The rate equation for this reaction is

A) -r_A=k
B) -r_R=kC_R^2
C) -r_A=kC_R^3
D) -r_A=kC_R^{0.5}

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Q 4: A vapor phase catalytic reaction (Q + R → S) follows the Rideal mechanism (R and S are not adsorbed). Initially, the mixture contains only the reactants in an equimolar ratio. The surface reaction step is rate controlling. With constants a and b, the initial rate of reaction (-r₀) in terms of total pressure (P_T) is given by

A) -r_0=\frac{aP_T}{1+bP_T}
B) -r_0=\frac{aP_T}{1+bP_T^2}
C) -r_0=\frac{aP_T^2}{1+bP_T}
D) -r_0=\frac{aP_T^2}{\left(1+bP_T\right)^2}

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Q 5: Match the following:

Group 1	Group 2
P. Tank in series model	I. Non-isothermal reaction
Q. Liquid-liquid extraction	II. Mixer-settler
R. Optimum temperature progression	III. PFR with axial mixing
S. Thiele modulus	IV. Solid catalysed reaction

A) P-II, Q-IV, R-I, S-III
B) P-I, Q-II, R-III, S-IV
C) P-III, Q-I, R-II, S-IV
D) P-III, Q-II, R-I, S-IV

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