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Heterogeneous Reaction Kinetics Questions and Answers

21.

Consider the following statements about Knudsen diffusion.
1. It dominates when the pore size is comparable with the mean free path.
2. Its coefficient depends on pore radius and molecular speed.
3. It is faster than bulk diffusion in the same pore.

Answer: A

The first two are correct. The third is wrong, since collisions with the wall impede the molecule and make Knudsen diffusion the slower of the two. Pore size decides which regime applies. The mean free path sets the boundary.

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22.

State whether the following is true or false.
A bimodal pore structure with wide transport pores and fine reaction pores is a common design.

Answer: B

The wide pores carry the reactant into the pellet and the fine ones provide the surface area. It is a direct response to the conflict between area and transport. Wide pores carry, fine pores react. The two functions are separated by design.

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Answer: C

Correct answer: the slowest step in the sequence

The rate determining step is simply the slowest, whichever it happens to be - adsorption, surface reaction or desorption - and which one it is depends on the system and on the conditions. Assuming it is always the surface reaction is a convenience of textbook derivations rather than a fact, and the assumption can fail at high pressure or with a strongly held product.

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24.

Assertion (A): Different assumptions about the rate determining step give different rate expressions for the same mechanism.
Reason (R): Each assumption puts a different combination of adsorption terms into the denominator.

Answer: D

Both are true and the reason gives the origin: fitting data to several candidate expressions and choosing the best is how the controlling step is usually inferred. Each gives a distinct denominator. Discriminating between them takes real evidence.

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25.

A reaction has a true activation energy of 120 kilojoules per mole. What apparent value would you expect under strong pore diffusion control?

Answer: A

Strong pore diffusion control halves the apparent activation energy, because the observed rate depends on the square root of the intrinsic rate constant. This makes the diagnostic straightforward. Halving is the signature to look for.

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26.

Consider the following statements about catalytic reaction kinetics.
1. A power law fit may describe data well without any mechanistic content.
2. A Langmuir-Hinshelwood form carries mechanistic assumptions.
3. A good fit proves the assumed mechanism is correct.

Answer: B

Correct answer: 1 and 2 only

Statements 1 and 2 are correct: a power law can fit data well while asserting nothing about mechanism, and a Langmuir–Hinshelwood form does embed assumptions about what adsorbs and what reacts. Statement 3 is the error the other two set up - several mechanisms commonly fit the same data within experimental error, so a good fit is consistent with a mechanism and never proves it.

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