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Chemical Engineering

Process design, thermodynamics, reactions

133 Q 5 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 41–50 of 133
Topics in Chemical Engineering
For the decomposition of N₂O₅ following first-order kinetics with k = 0.0074 s⁻¹, what fraction of reactant remains after 300 seconds?
A 0.18
B 0.32
C 0.52
D 0.68
Correct Answer:  A. 0.18
EXPLANATION

[A]/[A]₀ = e^(-kt) = e^(-0.0074×300) = e^(-2.22) ≈ 0.18 or 18% remains

Test
For a reversible reaction A ⇌ B with forward rate constant k_f = 0.3 s⁻¹ and reverse rate constant k_r = 0.1 s⁻¹, what is the equilibrium constant K_c?
A 0.33
B 3.0
C 0.67
D 1.5
Correct Answer:  B. 3.0
EXPLANATION

At equilibrium, K_c = k_f/k_r = 0.3/0.1 = 3.0. This represents the ratio of forward to reverse rate constants at equilibrium.

Test
In a batch reactor operating at constant temperature, the reaction A → B follows second-order kinetics with rate constant k = 0.05 L/(mol·min). If initial concentration of A is 2 M, what is the time required to reduce the concentration to 0.5 M?
A 30 minutes
B 45 minutes
C 60 minutes
D 90 minutes
Correct Answer:  A. 30 minutes
EXPLANATION

For second-order reaction: 1/[A]t - 1/[A]0 = kt. Therefore, 1/0.5 - 1/2 = 0.05×t gives 2 - 0.5 = 0.05t, so t = 30 minutes.

Test
What does the selectivity parameter in a competing reaction system measure?
A The fraction of reactant converted per unit time
B The ratio of desired product to undesired product formation rates
C The efficiency of reactor mixing
D The temperature dependence of reaction rate
Correct Answer:  B. The ratio of desired product to undesired product formation rates
EXPLANATION

Selectivity S = rate of desired product formation / rate of undesired product formation, used to optimize reactor conditions for maximum desired product yield

Test
In the context of reaction kinetics, which statement best describes the rate-determining step (RDS) in a multi-step reaction mechanism?
A It is always the first elementary step
B It is the slowest step that controls the overall reaction rate
C It requires the lowest activation energy
D It occurs only in irreversible reactions
Correct Answer:  B. It is the slowest step that controls the overall reaction rate
EXPLANATION

The rate-determining step is the slowest elementary step in the reaction mechanism, which governs the overall rate of the reaction regardless of its position in the sequence

Test
What is the primary advantage of a plug flow reactor (PFR) over a continuous stirred-tank reactor (CSTR) for reactions with high activation energy?
A Lower residence time requirement
B Better temperature control
C Higher conversion for the same reactor volume
D Easier scale-up to industrial levels
Correct Answer:  C. Higher conversion for the same reactor volume
EXPLANATION

PFR provides higher conversion than CSTR for the same volume because of better concentration gradient utilization and no back-mixing of unreacted material

Test
In a batch reactor operating at constant volume, the rate of reaction for a first-order reaction A→B is -rA = kCA. If the initial concentration is 2 mol/L and k = 0.1 min⁻¹, what will be the concentration after 10 minutes?
A 0.736 mol/L
B 1.472 mol/L
C 0.368 mol/L
D 2.0 mol/L
Correct Answer:  A. 0.736 mol/L
EXPLANATION

For first-order reaction: CA = CA0 × e^(-kt) = 2 × e^(-0.1×10) = 2 × e^(-1) = 2 × 0.368 = 0.736 mol/L

Test
In a fluidized bed reactor (FBR), particles exhibit properties of both solids and fluids. What is this phenomenon called?
A Pseudoplasticity
B Fluidization
C Thixotropy
D Turbulence
Correct Answer:  B. Fluidization
EXPLANATION

Fluidization: particles suspended in gas/liquid flow with properties intermediate between fixed bed and fluid

Test
In an isothermal CSTR, if feed concentration C_A0 = 10 mol/m³ and outlet concentration C_A = 2 mol/m³, conversion is:
A 0.2 or 20%
B 0.8 or 80%
C 0.5 or 50%
D Cannot be determined
Correct Answer:  B. 0.8 or 80%
EXPLANATION

Conversion X = (C_A0 - C_A)/C_A0 = (10-2)/10 = 0.8 = 80%

Test
What is the order of reaction if the rate law is: rate = k[A]^(1/2)[B]?
A Zero-order
B 1.5-order
C First-order
D Second-order
Correct Answer:  B. 1.5-order
EXPLANATION

Order = sum of exponents = 1/2 + 1 = 1.5 (fractional order, common in enzyme kinetics)

Test
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