typos; converted images to equations; better typesetting
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enter image description here

Figure. A schematic diagram showing the effect of the temperature on the stability of an enzyme catalysed reaction. The curves show the percentage activity remaining as the incubation period increases. From the top they represent equal increases in the incubation temperature (50º C50 °C, 55º C55 °C, 60º C60 °C, 65º C65 °C and 70º C70 °C).

The enter image description here$Q_{10}$ is a unitless number, that summarizes the effect of raising temperature 10º C10°C on the rate of a chemical reaction. A enter image description here$Q_{10}$ of 2.0 suggests that raising the temperature of a system by 10º C10 °C will effectively double the rate of the reaction. This value would be expected for most chemical reactions occurring within normal physiological temperatures.

Mathematically, enter image description here$Q_{10}$ can be represented by the following expression:

enter image description here$$Q_{10}=\left(\frac{k_2}{k_1}\right)^{\frac{10}{t_2-t_1}}$$

where$t_2$ = higher temperature
$k_2$ = rate at $t_2$
$t_1$ = lower temperature
$k_1$ = rate at $t_1$

t2 = higher temperature    k2 = rate at t2
t1 = lower temperature     k1 = rate at t1

UssualyUsually the temperature difference is about 10º C10 °C, then you can simplify the equation

enter image description here$$Q_{10}=\left(\frac{k_1}{k_2}\right)^{\frac{10}{10}}=\frac{k_1}{k_2}$$

Edit: You can easlyeasily calculate k$k$ form Arrhenius equation enter image description here

$$k=Ae^{\frac{-\Delta G^*}{RT}}$$

where k$k$ is the kinetic rate constant for the reaction, A$A$ is the Arrhenius constant, also known as the frequency factor, enter image description here$-\Delta G^*$ is the standard free energy of activation (kJ M-1$kJ/mol$) which depends on entropic and enthalpic factors, R$R$ is the gas law constant and T$T$ is the absolute temperature.

enter image description here

Figure. A schematic diagram showing the effect of the temperature on the stability of an enzyme catalysed reaction. The curves show the percentage activity remaining as the incubation period increases. From the top they represent equal increases in the incubation temperature (50º C, 55º C, 60º C, 65º C and 70º C).

The enter image description here is a unitless number, that summarizes the effect of raising temperature 10º C on the rate of a chemical reaction. A enter image description here of 2.0 suggests that raising the temperature of a system by 10º C will effectively double the rate of the reaction. This value would be expected for most chemical reactions occurring within normal physiological temperatures.

Mathematically, enter image description here can be represented by the following expression:

enter image description here

where

t2 = higher temperature    k2 = rate at t2
t1 = lower temperature     k1 = rate at t1

Ussualy the temperature difference is about 10º C, then you can simplify the equation

enter image description here

Edit: You can easly calculate k form Arrhenius equation enter image description here

where k is the kinetic rate constant for the reaction, A is the Arrhenius constant, also known as the frequency factor, enter image description here is the standard free energy of activation (kJ M-1) which depends on entropic and enthalpic factors, R is the gas law constant and T is the absolute temperature.

enter image description here

Figure. A schematic diagram showing the effect of the temperature on the stability of an enzyme catalysed reaction. The curves show the percentage activity remaining as the incubation period increases. From the top they represent equal increases in the incubation temperature (50 °C, 55 °C, 60 °C, 65 °C and 70 °C).

The $Q_{10}$ is a unitless number, that summarizes the effect of raising temperature 10°C on the rate of a chemical reaction. A $Q_{10}$ of 2.0 suggests that raising the temperature of a system by 10 °C will effectively double the rate of the reaction. This value would be expected for most chemical reactions occurring within normal physiological temperatures.

Mathematically, $Q_{10}$ can be represented by the following expression:

$$Q_{10}=\left(\frac{k_2}{k_1}\right)^{\frac{10}{t_2-t_1}}$$

$t_2$ = higher temperature
$k_2$ = rate at $t_2$
$t_1$ = lower temperature
$k_1$ = rate at $t_1$

Usually the temperature difference is about 10 °C, then you can simplify the equation

$$Q_{10}=\left(\frac{k_1}{k_2}\right)^{\frac{10}{10}}=\frac{k_1}{k_2}$$

Edit: You can easily calculate $k$ form Arrhenius equation

$$k=Ae^{\frac{-\Delta G^*}{RT}}$$

where $k$ is the kinetic rate constant for the reaction, $A$ is the Arrhenius constant, also known as the frequency factor, $-\Delta G^*$ is the standard free energy of activation ($kJ/mol$) which depends on entropic and enthalpic factors, $R$ is the gas law constant and $T$ is the absolute temperature.

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enter image description here


 

Figure. A schematic diagram showing the effect of the temperature on the stability of an enzyme catalysed reaction. The curves show the percentage activity remaining as the incubation period increases. From the top they represent equal increases in the incubation temperature (50º C, 55º C, 60º C, 65º C and 70º C).

The enter image description here is a unitless number, that summarizes the effect of raising temperature 10º C on the rate of a chemical reaction. A enter image description here of 2.0 suggests that raising the temperature of a system by 10º C will effectively double the rate of the reaction. This value would be expected for most chemical reactions occurring within normal physiological temperatures.

Mathematically, enter image description here can be represented by the following expression:

enter image description here

where

t2 = higher temperature    k2 = rate at t2
t1 = lower temperature     k1 = rate at t1

Ussualy the temperature difference is about 10º C, then you can simplify the equation

enter image description here

Edit: You can easly calculate k form Arrhenius equation enter image description here

where k is the kinetic rate constant for the reaction, A is the Arrhenius constant, also known as the frequency factor, enter image description here is the standard free energy of activation (kJ M-1) which depends on entropic and enthalpic factors, R is the gas law constant and T is the absolute temperature.

enter image description here


 

The enter image description here is a unitless number, that summarizes the effect of raising temperature 10º C on the rate of a chemical reaction. A enter image description here of 2.0 suggests that raising the temperature of a system by 10º C will effectively double the rate of the reaction. This value would be expected for most chemical reactions occurring within normal physiological temperatures.

Mathematically, enter image description here can be represented by the following expression:

enter image description here

where

t2 = higher temperature    k2 = rate at t2
t1 = lower temperature     k1 = rate at t1

Ussualy the temperature difference is about 10º C, then you can simplify the equation

enter image description here

enter image description here

Figure. A schematic diagram showing the effect of the temperature on the stability of an enzyme catalysed reaction. The curves show the percentage activity remaining as the incubation period increases. From the top they represent equal increases in the incubation temperature (50º C, 55º C, 60º C, 65º C and 70º C).

The enter image description here is a unitless number, that summarizes the effect of raising temperature 10º C on the rate of a chemical reaction. A enter image description here of 2.0 suggests that raising the temperature of a system by 10º C will effectively double the rate of the reaction. This value would be expected for most chemical reactions occurring within normal physiological temperatures.

Mathematically, enter image description here can be represented by the following expression:

enter image description here

where

t2 = higher temperature    k2 = rate at t2
t1 = lower temperature     k1 = rate at t1

Ussualy the temperature difference is about 10º C, then you can simplify the equation

enter image description here

Edit: You can easly calculate k form Arrhenius equation enter image description here

where k is the kinetic rate constant for the reaction, A is the Arrhenius constant, also known as the frequency factor, enter image description here is the standard free energy of activation (kJ M-1) which depends on entropic and enthalpic factors, R is the gas law constant and T is the absolute temperature.

Source Link
friveroll
  • 640
  • 3
  • 12

enter image description here


The enter image description here is a unitless number, that summarizes the effect of raising temperature 10º C on the rate of a chemical reaction. A enter image description here of 2.0 suggests that raising the temperature of a system by 10º C will effectively double the rate of the reaction. This value would be expected for most chemical reactions occurring within normal physiological temperatures.

Mathematically, enter image description here can be represented by the following expression:

enter image description here

where

t2 = higher temperature    k2 = rate at t2
t1 = lower temperature     k1 = rate at t1

Ussualy the temperature difference is about 10º C, then you can simplify the equation

enter image description here