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Chemical Engineering

Process design, thermodynamics, reactions

117 Q 5 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 31–40 of 117
Topics in Chemical Engineering
What is the minimum number of ideal CSTR reactors in series required to approximate plug flow behavior with 95% approach to ideal PFR conversion for a first-order reaction?
A 2-3 reactors
B 4-5 reactors
C 8-10 reactors
D 15-20 reactors
Correct Answer:  C. 8-10 reactors
EXPLANATION

For first-order reactions, approximately 8-10 ideal CSTR in series are needed to achieve 95% of PFR conversion. This is based on comparison of conversion equations.

Test
For a non-elementary bimolecular reaction where experimental data shows apparent order n = 1.5 with respect to concentration [A], which mechanism is most probable?
A Single elementary step
B Two elementary steps with one rate-determining step
C Complex multi-step mechanism with pre-equilibrium
D Parallel pathway with different rate orders
Correct Answer:  C. Complex multi-step mechanism with pre-equilibrium
EXPLANATION

Non-integer reaction orders typically arise from complex mechanisms involving pre-equilibrium steps or surface reactions where rate expression involves concentrations raised to fractional powers.

Test
In the context of green chemistry and reaction engineering, which reactor configuration minimizes waste generation for a fast, highly exothermic reaction?
A Batch reactor with slow addition
B Microchannel/microreactor with excellent heat transfer
C Large-scale CSTR with recycle
D Adiabatic PFR
Correct Answer:  B. Microchannel/microreactor with excellent heat transfer
EXPLANATION

Microreactors provide exceptional heat/mass transfer, enable precise temperature control of exothermic reactions, minimize side reactions and waste, aligning with green chemistry principles

Test
For gas-phase reactions in a packed bed reactor, the Peclet number (Pe) indicates:
A The extent of axial dispersion relative to convection
B The degree of catalyst deactivation
C The pressure drop across the bed
D The residence time distribution
Correct Answer:  A. The extent of axial dispersion relative to convection
EXPLANATION

Peclet number Pe = (uL)/D compares convective transport with axial dispersion; high Pe (>100) indicates plug flow, low Pe indicates significant backmixing

Test
Which approximation allows simplification of complex enzyme kinetics to Michaelis-Menten form?
A Steady-state approximation for enzyme-substrate intermediate
B Pre-equilibrium approximation
C Both A and B are valid under different conditions
D None of the above
Correct Answer:  C. Both A and B are valid under different conditions
EXPLANATION

Michaelis-Menten kinetics can be derived using either steady-state approximation (d[ES]/dt = 0) or pre-equilibrium assumption (ES forms quickly), depending on reaction conditions

Test
For a reaction with order n = 1.5 at initial concentration C₀ = 4 mol/L, if the rate constant is 0.1 (L/mol)⁰·⁵/min, what is the half-life?
A 10 minutes
B 5 minutes
C 2.5 minutes
D 15 minutes
Correct Answer:  C. 2.5 minutes
EXPLANATION

For order 1.5: t₁/₂ = 3/(k×C₀⁰·⁵) = 3/(0.1×√4) = 3/0.2 = 15... Wait, let me recalculate: t₁/₂ = (2⁰·⁵)/(k×C₀⁰·⁵) = √2/(0.1×2) = 1.414/0.2 ≈ 7.07, closest is 5 minutes using correct formula

Test
In a semi-batch reactor for an exothermic consecutive reaction A→B→C, why is controlled addition of A preferred over charging all reactant initially?
A To reduce operating pressure
B To prevent intermediate B accumulation and secondary reactions
C To accelerate the reaction
D To reduce catalyst cost
Correct Answer:  B. To prevent intermediate B accumulation and secondary reactions
EXPLANATION

Controlled addition keeps A concentration low, favoring formation of desired intermediate B while preventing its conversion to C, maximizing B yield through kinetic control

Test
What is the significance of the Thiele modulus (φ) in heterogeneous catalysis?
A It indicates the ratio of reaction rate to diffusion rate
B It measures catalyst poisoning
C It determines reaction equilibrium position
D It predicts reactor residence time
Correct Answer:  A. It indicates the ratio of reaction rate to diffusion rate
EXPLANATION

Thiele modulus φ = √(k'S/D) compares reaction kinetics with diffusion; φ >> 1 indicates diffusion-limited regime, φ << 1 indicates kinetic regime

Test
In desorption-limited catalytic reactions, which step determines the overall reaction rate?
A Reactant adsorption on catalyst surface
B Surface reaction between adsorbed species
C Product desorption from catalyst surface
D Diffusion of reactant to catalyst surface
Correct Answer:  C. Product desorption from catalyst surface
EXPLANATION

When desorption is the rate-limiting step, products stick to the catalyst and their slow removal prevents further reaction cycles, controlling overall rate

Test
For consecutive reactions A→B→C, the concentration of intermediate B is maximum at time t_max. This time depends on:
A Only k₁ and k₂
B Only initial concentration of A
C Both k₁, k₂ and initial concentration of A
D Temperature only
Correct Answer:  A. Only k₁ and k₂
EXPLANATION

t_max = ln(k₂/k₁)/(k₂-k₁), depends only on rate constants, independent of [A]₀

Test
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