Answer:
The barrier has to be 34.23 kJ/mol lower when the sucrose is in the active site of the enzyme
Explanation:
From the given information:
The activation barrier for the hydrolysis of sucrose into glucose and fructose is 108 kJ/mol.
In this same concentration for the glucose and fructose; the reaction rate can be calculated by the rate factor which can be illustrated from the Arrhenius equation;
Rate factor in the absence of catalyst:
![k_1= A*e^{^{^{ \dfrac {- Ea_1}{RT}}](https://tex.z-dn.net/?f=k_1%3D%20A%2Ae%5E%7B%5E%7B%5E%7B%20%5Cdfrac%20%7B-%20Ea_1%7D%7BRT%7D%7D)
Rate factor in the presence of catalyst:
![k_2= A*e^{^{^{ \dfrac {- Ea_2}{RT}}](https://tex.z-dn.net/?f=k_2%3D%20A%2Ae%5E%7B%5E%7B%5E%7B%20%5Cdfrac%20%7B-%20Ea_2%7D%7BRT%7D%7D)
Assuming the catalyzed reaction and the uncatalyzed reaction are taking place at the same temperature :
Then;
the ratio of the rate factors can be expressed as:
![\dfrac{k_2}{k_1}={ \dfrac {e^{ \dfrac {- Ea_2}{RT} }} { e^{ \dfrac {- Ea_1}{RT} }}](https://tex.z-dn.net/?f=%5Cdfrac%7Bk_2%7D%7Bk_1%7D%3D%7B%20%20%5Cdfrac%20%7Be%5E%7B%20%5Cdfrac%20%7B-%20Ea_2%7D%7BRT%7D%20%7D%7D%20%7B%20e%5E%7B%20%5Cdfrac%20%7B-%20Ea_1%7D%7BRT%7D%20%7D%7D)
![\dfrac{k_2}{k_1}={ \dfrac {e^{[ Ea_1 - Ea_2 ] }}{RT} }}](https://tex.z-dn.net/?f=%5Cdfrac%7Bk_2%7D%7Bk_1%7D%3D%7B%20%20%5Cdfrac%20%7Be%5E%7B%5B%20%20Ea_1%20-%20Ea_2%20%5D%20%7D%7D%7BRT%7D%20%7D%7D)
Thus;
![Ea_1-Ea_2 = RT In \dfrac{k_2}{k_1}](https://tex.z-dn.net/?f=Ea_1-Ea_2%20%3D%20RT%20In%20%5Cdfrac%7Bk_2%7D%7Bk_1%7D)
Let say the assumed temperature = 25° C
= (25+ 273)K
= 298 K
Then ;
![Ea_1-Ea_2 = 8.314 \ J/mol/K * 298 \ K * In (10^6)](https://tex.z-dn.net/?f=Ea_1-Ea_2%20%3D%208.314%20%5C%20%20J%2Fmol%2FK%20%2A%20298%20%5C%20K%20%2A%20%20In%20%2810%5E6%29)
![Ea_1-Ea_2 = 34228.92 \ J/mol](https://tex.z-dn.net/?f=Ea_1-Ea_2%20%3D%2034228.92%20%5C%20J%2Fmol)
![\mathbf{Ea_1-Ea_2 = 34.23 \ kJ/mol}](https://tex.z-dn.net/?f=%5Cmathbf%7BEa_1-Ea_2%20%3D%2034.23%20%5C%20kJ%2Fmol%7D)
The barrier has to be 34.23 kJ/mol lower when the sucrose is in the active site of the enzyme
Best Answer
C) is the best description, although a scientific theory is not necessarily a "fact". They are, however, based on evidence.
A) is complete garbage.
B) is a good description of a scientific "law"- something that predicts how a certain event will occur without explaining why this is (for instance, the law of gravity accurately describes the gravitational forces between two bodies, but does not explain why these forces are there).
D) is a scientific "hypothesis"- an explanation for an observed phenomena that is yet to be proven.
We can calculate years by using the half-life equation. It is expressed as:
A = Ao e^-kt
<span>where A is the amount left at t years, Ao is the initial concentration, and k is a constant.
</span>From the half-life data, we can calculate for k.
1/2(Ao) = Ao e^-k(1620)
<span>k = 4.28 x 10^-4
</span>
0.125 = 1 e^-<span>4.28 x 10^-4 (</span>t)
t = 4259 years
Answer:
true
Explanation:
This is because it helps distribute the particles that are being dissolved.