Respuesta :
Simply put, activation energy is the minimal amount of energy required to activate a molecule, which causes the molecule to engage in physical movement. It is often referred to as the minimal amount necessary to start a chemical reaction. The use of a catalyst makes it simple to lower the activation energy.
Given,
The difference in the activation energy ΔEₐ = 5KJ/mol = 5X1000 J/mol
The value of total temperature is T = 37°C = (37+273)k = 310k
The mathematical expression of the Arrhenius equation is shown below,
k = Ae - Ea/RT
ln (k) = ln(A) - Ea/RT .........(1)
Here,
Ea = the activation energy,
A = the frequency factor,
R = the universal gas constant, and
T = the temperature
Write eq(1) for first rate constant k₁
ln(k₁) = ln(A) - Ea/RT ...........(2)
Here k₁ is first rate constant and Ea is first activation energy
write equation (1) for second rate constant k₂
ln(k₂) = ln(A) - Ea₂/RT ...........(3)
Here k₂ is first rate constant and Ea₂ is first activation energy
Subtract eq(3) by (2)
ln(k₂) - ln(k₁) = (ln(A)- Ea₂/RT) - ln(A) + Ea/RT
ln (k₂/k₁) = (Ea/RT) - (Ea₂/RT)
ln (k₂/k₁) = (Ea - Ea₂)/RT
ln (k₂/k₁) = ΔEₐ/RT ................(4)
Value of universal gas constant (R) = 8.314 J/mol K
ln (k₂/k₁) = (5 X 1000 J.mol)/(8.314 J/mol K) (310 K)
ln (k₂/k₁) = 1.94
(k₂/k₁) = [tex]e^{1.94}[/tex]
(k₂/k₁) = 6.96
Therefore, the factor by which the rate of detoxification changes is 6.96
Learn more about the Activation energy with the help of the given link:
https://brainly.com/question/11334504
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