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A porous pellet with Pt dispersed in it is used to carry out a catalytic reaction. Following two
scenarios are possible.
Scenario 1: Pt present throughout the pores of the pellet is used for catalyzing the reaction.
Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet is used for catalyzing the reaction.
At a large value of Thiele modulus, which one of the following statements is TRUE?
  • a)
    Since the reaction rate is much greater than the diffusion rate, Scenario 1 occurs
  • b)
    Since the reaction rate is much greater than the diffusion rate, Scenario 2 occurs
  • c)
    Since the reaction rate is much lower than the diffusion rate, Scenario 1 occurs
  • d)
    Since the reaction rate is much lower than the diffusion rate , Scenario 2 occurs
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A porous pellet with Pt dispersed in it is used to carry out a catalyt...
So, high thick modulus means reaction rate is much greater then diffusion rate.
Now, since diffusion rate is slow, it would be difficult for reactants to diffuse into the pores of the pellet. It would be beneficial if pt is present only in the immediate vicinity of the external surface of pellet
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Most Upvoted Answer
A porous pellet with Pt dispersed in it is used to carry out a catalyt...
Thiele modulus:
The Thiele modulus (φ) is a dimensionless parameter that describes the relative rates of reaction and diffusion in a porous catalyst. It is defined as the ratio of the reaction rate to the diffusion rate, and is given by the equation:

φ = (k * R^2) / D

Where:
- k is the rate constant of the reaction
- R is the characteristic length scale of the catalyst particle (e.g., the radius of the pellet)
- D is the diffusion coefficient of the reactant in the catalyst

Scenario 1: Pt present throughout the pores of the pellet
In this scenario, the Pt catalyst is present throughout the entire pellet, including the internal pores. This means that the reactant molecules can diffuse into the pores and come into contact with the Pt catalyst, leading to catalytic reactions. The reaction rate in this scenario is influenced by both the reaction kinetics and the diffusion of reactants into the pores.

Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet
In this scenario, the Pt catalyst is only present on the external surface of the pellet, and not inside the pores. As a result, the reactant molecules can only come into contact with the Pt catalyst when they are in the immediate vicinity of the external surface. The reaction rate in this scenario is primarily influenced by the reaction kinetics, as the diffusion of reactants into the pores is limited.

Large value of Thiele modulus:
When the Thiele modulus is large (φ >> 1), it indicates that the reaction rate is much greater than the diffusion rate. In this case, the reaction is kinetically controlled, and the rate of reaction is limited by the availability of active sites on the catalyst surface. The reactant molecules can quickly reach the catalyst surface, and the diffusion of reactants into the pores becomes less important.

True statement:
Based on the above information, the true statement is:

Option B: Since the reaction rate is much greater than the diffusion rate, Scenario 2 occurs

Explanation:
In Scenario 2, where the Pt catalyst is present only on the external surface, the reaction rate is primarily controlled by the catalytic activity of the Pt in the immediate vicinity of the external surface. The reactant molecules can quickly reach this active region, resulting in a faster reaction rate compared to Scenario 1, where the Pt catalyst is distributed throughout the entire pellet. Therefore, at a large value of the Thiele modulus (φ >> 1), Scenario 2 is more likely to occur.
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A porous pellet with Pt dispersed in it is used to carry out a catalytic reaction. Following twoscenarios are possible.Scenario 1: Pt present throughout the pores of the pellet is used for catalyzing the reaction.Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet is used forcatalyzing the reaction.At a large value of Thiele modulus, which one of the following statements is TRUE?a)Since the reaction rate is much greater than the diffusion rate, Scenario 1 occursb)Since the reaction rate is much greater than the diffusion rate, Scenario 2 occursc)Since the reaction rate is much lower than the diffusion rate, Scenario 1 occursd)Since the reaction rate is much lower than the diffusion rate , Scenario 2occursCorrect answer is option 'B'. Can you explain this answer?
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A porous pellet with Pt dispersed in it is used to carry out a catalytic reaction. Following twoscenarios are possible.Scenario 1: Pt present throughout the pores of the pellet is used for catalyzing the reaction.Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet is used forcatalyzing the reaction.At a large value of Thiele modulus, which one of the following statements is TRUE?a)Since the reaction rate is much greater than the diffusion rate, Scenario 1 occursb)Since the reaction rate is much greater than the diffusion rate, Scenario 2 occursc)Since the reaction rate is much lower than the diffusion rate, Scenario 1 occursd)Since the reaction rate is much lower than the diffusion rate , Scenario 2occursCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A porous pellet with Pt dispersed in it is used to carry out a catalytic reaction. Following twoscenarios are possible.Scenario 1: Pt present throughout the pores of the pellet is used for catalyzing the reaction.Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet is used forcatalyzing the reaction.At a large value of Thiele modulus, which one of the following statements is TRUE?a)Since the reaction rate is much greater than the diffusion rate, Scenario 1 occursb)Since the reaction rate is much greater than the diffusion rate, Scenario 2 occursc)Since the reaction rate is much lower than the diffusion rate, Scenario 1 occursd)Since the reaction rate is much lower than the diffusion rate , Scenario 2occursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A porous pellet with Pt dispersed in it is used to carry out a catalytic reaction. Following twoscenarios are possible.Scenario 1: Pt present throughout the pores of the pellet is used for catalyzing the reaction.Scenario 2: Pt present only in the immediate vicinity of the external surface of the pellet is used forcatalyzing the reaction.At a large value of Thiele modulus, which one of the following statements is TRUE?a)Since the reaction rate is much greater than the diffusion rate, Scenario 1 occursb)Since the reaction rate is much greater than the diffusion rate, Scenario 2 occursc)Since the reaction rate is much lower than the diffusion rate, Scenario 1 occursd)Since the reaction rate is much lower than the diffusion rate , Scenario 2occursCorrect answer is option 'B'. Can you explain this answer?.
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