In most cases, for a rise of 10K temperature the rate constant is doub...
For a 10 K rise in temperature, collision frequency increases merely by 1 to 2% but the number of effective collisions increases by 100 to 200%.
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In most cases, for a rise of 10K temperature the rate constant is doub...
Explanation:
The rate constant of a reaction is the proportionality constant that relates the rate of a reaction to the concentrations of the reactants. It is expressed by the Arrhenius equation:
k = A*e^(-Ea/RT)
where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
For a rise of 10K temperature, the rate constant is doubled to tripled. This is due to the reason that the fraction of molecules possessing threshold energy increases by a factor of 2 to 3.
Collision Theory:
According to collision theory, for a chemical reaction to occur, the reactant molecules must collide with sufficient energy and in the correct orientation. The minimum energy required for a reaction to occur is called the activation energy (Ea). The fraction of molecules possessing threshold energy is the fraction of molecules that have energy greater than or equal to the activation energy.
Effect of Temperature on Rate Constant:
An increase in temperature increases the kinetic energy of the molecules, which results in an increase in the collision frequency and the fraction of molecules possessing threshold energy. This leads to an increase in the rate constant of the reaction.
For a rise of 10K temperature, the rate constant is doubled to tripled. This is because the fraction of molecules possessing threshold energy increases by a factor of 2 to 3.
Effect of Activation Energy on Rate Constant:
Lowering the activation energy of a reaction would increase the fraction of molecules possessing threshold energy and, therefore, increase the rate constant. However, a rise in temperature does not lower the activation energy of a reaction. Therefore, option C is not the correct answer.
Conclusion:
In conclusion, the correct answer is option B: the fraction of molecules possessing threshold energy increases by a factor of 2 to 3.
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