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The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 is
Important : you should answer only the numeric value
Correct answer is '0.5'. Can you explain this answer?
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The overall rates of an isothermal catalytic reaction using spherical ...
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Introduction:
In an isothermal catalytic reaction, the rate of reaction is affected by various factors including the size of the catalyst particles. The given question asks to determine the ratio of reaction rates for two different catalyst particle sizes.
Given Information:
- Diameter of Catalyst Particle 1 (D1) = 1 mm
- Diameter of Catalyst Particle 2 (D2) = 2 mm
- Rate of reaction for Catalyst Particle 1 (rA1) = ?
- Rate of reaction for Catalyst Particle 2 (rA2) = ?
Explanation:
To determine the ratio rA2/rA1, we need to consider the effect of catalyst particle size on the rate of reaction.
Surface Area:
The surface area of a catalyst particle is directly proportional to its diameter. As the diameter of Catalyst Particle 2 (D2) is twice as large as Catalyst Particle 1 (D1), the surface area of Particle 2 will be four times larger than Particle 1.
Reaction Rate and Surface Area:
According to the theory of heterogeneous catalysis, the rate of reaction is directly proportional to the surface area of the catalyst. Therefore, we can say that the rate of reaction for Catalyst Particle 2 (rA2) will be four times larger than the rate of reaction for Catalyst Particle 1 (rA1) due to the difference in surface areas.
Pore Diffusion Resistance:
The given question states that the pore diffusion resistance is very high, which means that the rate of reaction is limited by the diffusion of reactants through the pores of the catalyst particles. In this case, the rate of reaction is not solely determined by the surface area, but also by the diffusion process.
Conclusion:
Considering the above factors, we can conclude that the ratio rA2/rA1 is 4:1 due to the difference in surface areas. However, since the pore diffusion resistance is very high, the rate of reaction for Catalyst Particle 2 (rA2) will be significantly reduced compared to the rate of reaction for Catalyst Particle 1 (rA1). The exact ratio of rA2/rA1 cannot be determined without further information on the effect of pore diffusion resistance. Therefore, the correct answer of 0.5 is not supported by the given information and explanation.
In an isothermal catalytic reaction, the rate of reaction is affected by various factors including the size of the catalyst particles. The given question asks to determine the ratio of reaction rates for two different catalyst particle sizes.
Given Information:
- Diameter of Catalyst Particle 1 (D1) = 1 mm
- Diameter of Catalyst Particle 2 (D2) = 2 mm
- Rate of reaction for Catalyst Particle 1 (rA1) = ?
- Rate of reaction for Catalyst Particle 2 (rA2) = ?
Explanation:
To determine the ratio rA2/rA1, we need to consider the effect of catalyst particle size on the rate of reaction.
Surface Area:
The surface area of a catalyst particle is directly proportional to its diameter. As the diameter of Catalyst Particle 2 (D2) is twice as large as Catalyst Particle 1 (D1), the surface area of Particle 2 will be four times larger than Particle 1.
Reaction Rate and Surface Area:
According to the theory of heterogeneous catalysis, the rate of reaction is directly proportional to the surface area of the catalyst. Therefore, we can say that the rate of reaction for Catalyst Particle 2 (rA2) will be four times larger than the rate of reaction for Catalyst Particle 1 (rA1) due to the difference in surface areas.
Pore Diffusion Resistance:
The given question states that the pore diffusion resistance is very high, which means that the rate of reaction is limited by the diffusion of reactants through the pores of the catalyst particles. In this case, the rate of reaction is not solely determined by the surface area, but also by the diffusion process.
Conclusion:
Considering the above factors, we can conclude that the ratio rA2/rA1 is 4:1 due to the difference in surface areas. However, since the pore diffusion resistance is very high, the rate of reaction for Catalyst Particle 2 (rA2) will be significantly reduced compared to the rate of reaction for Catalyst Particle 1 (rA1). The exact ratio of rA2/rA1 cannot be determined without further information on the effect of pore diffusion resistance. Therefore, the correct answer of 0.5 is not supported by the given information and explanation.
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The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer?
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The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. 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 The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer?.
The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. 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 The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer?.
Solutions for The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1 h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 isImportant : you should answer only the numeric valueCorrect answer is '0.5'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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