Respuesta :
Answer:
The answer to the questions are as follows
Reaction B is 4426.28 times faster than reaction A
(b) Reaction B is faster.
Explanation:
To solve the question we are meant to compare both reactions to see which one is faster
The values of the given activation energies are as follows
For A
Ea = 95.00 kJ mol–1 (22.71 kcal mol–1) and
for B
Ea = 74.20 kJ mol–1 (17.73 kcal mol–1)
T is the same for both reactions and is equal to 298 k
Concentration of both reaction = 1M
The Arrhenius Law is given by
k = [tex]Ae^{\frac{-E_{a} }{RT} }[/tex]
Where
k = rate constant
Ea = activation energy
R = universal gas constant
T = temperature (Kelvin )
A = Arrhenius factor
Therefore
For reaction A, the rate constant k₁ is given by k₁ = [tex]Ae^{\frac{-95000}{(8.314)(298)} }[/tex]
And for B the rate constant k₂ is given by k₂ = [tex]Ae^{\frac{-74200 }{(8.314)(298)} }[/tex]
k₁ = A×2.225×10⁻¹⁷
k₂ = A×9.850×10⁻¹⁴
As seen from the above Reaction B is faster than reaction A by (A×9.850×10⁻¹⁴)/(A×2.225×10⁻¹⁷) or 4426.28 times
(b) Reaction B is faster by a factor of 4426.28 times.
The values of the given activation energies are as follows
For A:
Ea = [tex]95.00 kJ mol^{-1} (22.71 kcal mol^{-1})[/tex]
For B:
Ea = [tex]74.20 kJ mol^{-1} (17.73 kcal mol^{-1})[/tex]
T is the same for both reactions and is equal to 298 k
Concentration of both reaction = 1M
According to Arrhenius Law:
[tex]k=Ae^{\frac{-E_a}{RT}[/tex]
where
k = rate constant
Ea = activation energy
R = universal gas constant
T = temperature (Kelvin )
A = Arrhenius factor
Thus,
For reaction A, the rate constant k₁ is given by:
[tex]k_1=Ae^{\frac{-95000}{RT}[/tex]
For reaction B, the rate constant k₂ is given by:
[tex]k_2=Ae^\frac{-74200}{RT}[/tex]
The rate constants for the respective reactions are :
[tex]k_1 = A*2.225*10^{-17}\\k_2 = A*9.850*10^{-14}[/tex]
As seen from the above Reaction B is faster than reaction A by [tex]\frac{(A*9.850*10^{-14})}{(A*2.225*10^{-17}) }=4426.28[/tex] times
Thus, correct option is b.
Find more information about Arrhenius Law here:
brainly.com/question/24749252
