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The specific reaction rate of a chemical reaction at 300K is 0.001min-¹ which increases to 0.002min-¹ at 310K. Calculate the energy of activation of the reaction.?
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The specific reaction rate of a chemical reaction at 300K is 0.001min-...
Calculation of Energy of Activation of a Chemical Reaction


Introduction

The energy of activation of a chemical reaction is the minimum amount of energy required to start the reaction. It is the energy required to break the bonds of the reactants and form new bonds to give the products.

Given Data

Specific reaction rate at 300K = 0.001 min⁻¹

Specific reaction rate at 310K = 0.002 min⁻¹

Formula

The formula for calculating the energy of activation is as follows:

ln(k₂/k₁) = (-Ea/R) x (1/T₂ - 1/T₁)

where k₁ and k₂ are the specific reaction rates at temperatures T₁ and T₂ respectively, Ea is the energy of activation, R is the gas constant (8.314 J/K mol), and ln is the natural logarithm.

Solution

Substituting the given data in the formula:

ln(0.002/0.001) = (-Ea/8.314) x (1/310 - 1/300)

ln(2) = (-Ea/8.314) x (0.00333)

Ea = -ln(2) x 8.314 x (1/0.00333)

Ea = 49.5 kJ/mol

Conclusion

Therefore, the energy of activation of the given chemical reaction is 49.5 kJ/mol.
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The specific reaction rate of a chemical reaction at 300K is 0.001min-...
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The specific reaction rate of a chemical reaction at 300K is 0.001min-¹ which increases to 0.002min-¹ at 310K. Calculate the energy of activation of the reaction.?
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The specific reaction rate of a chemical reaction at 300K is 0.001min-¹ which increases to 0.002min-¹ at 310K. Calculate the energy of activation of the reaction.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The specific reaction rate of a chemical reaction at 300K is 0.001min-¹ which increases to 0.002min-¹ at 310K. Calculate the energy of activation of the reaction.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The specific reaction rate of a chemical reaction at 300K is 0.001min-¹ which increases to 0.002min-¹ at 310K. Calculate the energy of activation of the reaction.?.
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