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Chemical Engineering
Chemical Reaction Engineering

Process design, thermodynamics, reactions

23 Q 5 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 21–23 of 23
Topics in Chemical Engineering
Which statement is correct about the residence time distribution (RTD) in an ideal plug flow reactor?
A All molecules spend different residence times
B All molecules spend the same residence time τ
C RTD follows Gaussian distribution
D RTD is exponential
Correct Answer:  B. All molecules spend the same residence time τ
EXPLANATION

In ideal PFR, E(t) = δ(t-τ), meaning all molecules have identical residence time equal to τ

Test
For a zero-order reaction, the integrated rate law is:
A [A] = [A]₀ - kt
B ln[A] = ln[A]₀ - kt
C 1/[A] = 1/[A]₀ + kt
D [A] = [A]₀e^(-kt)
Correct Answer:  A. [A] = [A]₀ - kt
EXPLANATION

Zero-order integrated rate law: [A] = [A]₀ - kt, linear with time

Test
A first-order reaction has a rate constant of 0.693 min⁻¹. What is its half-life?
A 1 minute
B 0.693 minutes
C 2 minutes
D 0.5 minutes
Correct Answer:  A. 1 minute
EXPLANATION

For first-order reactions, t₁/₂ = 0.693/k = 0.693/0.693 = 1 minute

Test
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