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The activation energy of a reaction is 75.2 kJ mol-1 in the absence of a catalyst and it lowers to 50.14 kJmol-1 with a catalyst. How many times will the rate of reaction grow in the presence of a catalyst if the reaction proceeds at 25°C ?
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The activation energy of a reaction is 75.2 kJ mol-1 in the absence of...
According to Arrhenius equation,
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The activation energy of a reaction is 75.2 kJ mol-1 in the absence of...
Calculation of Rate Enhancement with Catalyst
- The rate of a reaction is given by the Arrhenius equation:
k = A * e^(-Ea / RT)
- Where:
k = rate constant
A = pre-exponential factor
Ea = activation energy
R = gas constant (8.314 J/mol-K)
T = temperature in Kelvin
Rate of Reaction without Catalyst
- For the reaction without a catalyst:
Ea = 75.2 kJ/mol = 75,200 J/mol
T = 25°C = 298 K
k1 = A * e^(-75200 / (8.314 * 298))
k1 = A * e^(-31.84)
Rate of Reaction with Catalyst
- For the reaction with a catalyst:
Ea' = 50.14 kJ/mol = 50,140 J/mol
k2 = A * e^(-50140 / (8.314 * 298))
k2 = A * e^(-21.26)
Comparison of Rates
- The rate enhancement due to the catalyst can be calculated as:
Rate enhancement = k2 / k1
= (A * e^(-21.26)) / (A * e^(-31.84))
= e^(10.58)
≈ 370
Explanation
- The rate of reaction will grow by approximately 370 times in the presence of a catalyst at 25°C. This is due to the lower activation energy provided by the catalyst, which allows more molecules to overcome the energy barrier and participate in the reaction. As a result, the reaction proceeds faster with the catalyst compared to without it. This significant rate enhancement demonstrates the importance of catalysts in accelerating chemical reactions.
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The activation energy of a reaction is 75.2 kJ mol-1 in the absence of a catalyst and it lowers to 50.14 kJmol-1 with a catalyst. How many times will the rate of reaction grow in the presence of a catalyst if the reaction proceeds at 25°C ?
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The activation energy of a reaction is 75.2 kJ mol-1 in the absence of a catalyst and it lowers to 50.14 kJmol-1 with a catalyst. How many times will the rate of reaction grow in the presence of a catalyst if the reaction proceeds at 25°C ? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The activation energy of a reaction is 75.2 kJ mol-1 in the absence of a catalyst and it lowers to 50.14 kJmol-1 with a catalyst. How many times will the rate of reaction grow in the presence of a catalyst if the reaction proceeds at 25°C ? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The activation energy of a reaction is 75.2 kJ mol-1 in the absence of a catalyst and it lowers to 50.14 kJmol-1 with a catalyst. How many times will the rate of reaction grow in the presence of a catalyst if the reaction proceeds at 25°C ?.
The activation energy of a reaction is 75.2 kJ mol-1 in the absence of a catalyst and it lowers to 50.14 kJmol-1 with a catalyst. How many times will the rate of reaction grow in the presence of a catalyst if the reaction proceeds at 25°C ? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The activation energy of a reaction is 75.2 kJ mol-1 in the absence of a catalyst and it lowers to 50.14 kJmol-1 with a catalyst. How many times will the rate of reaction grow in the presence of a catalyst if the reaction proceeds at 25°C ? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The activation energy of a reaction is 75.2 kJ mol-1 in the absence of a catalyst and it lowers to 50.14 kJmol-1 with a catalyst. How many times will the rate of reaction grow in the presence of a catalyst if the reaction proceeds at 25°C ?.
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