In solid catalysed reactions the diffusional effects are more likely to affect the overall rate of reaction for
A. Fast reactions in catalyst of small pore diameter
B. Fast reaction in catalyst of large pore diameter
C. Slow reactions in catalyst of small pore diameter
D. Slow reactions in catalyst of large pore diameter
Answer: Option C
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A. $${{\text{k}}_{\text{e}}}{\text{ff}} = {\text{k}} + {{\text{k}}_{\text{g}}}$$
B. $${{\text{k}}_{\text{e}}}{\text{ff}} = \frac{{{\text{k}} + {{\text{k}}_{\text{g}}}}}{2}$$
C. $${{\text{k}}_{\text{e}}}{\text{ff}} = {\left( {{\text{k}}{{\text{k}}_{\text{g}}}} \right)^{\frac{1}{2}}}$$
D. $$\frac{1}{{{{\text{k}}_{\text{e}}}{\text{ff}}}} = \frac{1}{{\text{k}}} + \frac{1}{{{{\text{k}}_{\text{g}}}}}$$
The half life period of a first order reaction is given by (where, K = rate constant. )
A. 1.5 K
B. 2.5 K
C. $$\frac{{0.693}}{{\text{K}}}$$
D. 6.93 K
Catalyst is a substance, which __________ chemical reaction.
A. Increases the speed of a
B. Decreases the speed of a
C. Can either increase or decrease the speed of a
D. Alters the value of equilibrium constant in a reversible
A. $$ \propto {\text{CA}}$$
B. $$ \propto \frac{1}{{{\text{CA}}}}$$
C. Independent of temperature
D. None of these

The correct answer is:
A. Fast reactions in catalyst of small pore diameter
✅ Explanation:
In solid-catalyzed reactions, the overall rate can be affected by diffusional resistance, especially internal diffusion within catalyst pores.
🔍 Diffusional effects become significant when:
The reaction is fast:
Reactants are consumed rapidly at active sites.
To sustain the reaction, reactants must diffuse quickly to the internal surface.
The pore diameter is small:
This increases resistance to internal diffusion (pore diffusion).
Reactants and products move more slowly, creating a concentration gradient and lowering the effective rate.
📌 Therefore:
If the reaction is fast and pore diameter is small, the system becomes diffusion-limited, i.e., the rate of mass transfer can't keep up with the rate of reaction.
This leads to diffusional effects controlling the overall rate.
❌ Why other options are incorrect:
B. Large pores reduce diffusion resistance.
C. Slow reactions don't demand fast diffusion, so diffusion isn't rate-limiting.
D. Both slow reaction and large pores mean minimal diffusion impact.
✅ Final Answer: A. Fast reactions in catalyst of small pore diameter
C
answer is B