typos; converted images to equations; better typesetting
p.s.w.g
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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 $$Q_{10}$$ is a unitless number, that summarizes the effect of raising temperature 10º C10°C on the rate of a chemical reaction. A $$Q_{10}$$ 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, $$Q_{10}$$ can be represented by the following expression:

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

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

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

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

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

where k$$k$$ is the kinetic rate constant for the reaction, A$$A$$ is the Arrhenius constant, also known as the frequency factor, $$-\Delta G^*$$ 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.

friveroll
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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 is a unitless number, that summarizes the effect of raising temperature 10º C on the rate of a chemical reaction. A 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, can be represented by the following expression:

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

Edit: You can easly calculate k form Arrhenius equation

where k is the kinetic rate constant for the reaction, A is the Arrhenius constant, also known as the frequency factor, 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.

friveroll
• 640
• 3
• 12

The is a unitless number, that summarizes the effect of raising temperature 10º C on the rate of a chemical reaction. A 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, can be represented by the following expression:

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