RGT rule (GW-06) By what factor x does the proportion of molecules with an energy of Ea increase with a temperature increase of 10 Kelvin? Various indications: The relationship between temperature and k (the value sought at a given temperature) is given by the following Arrhenius equation: k = A · e(-Ea/R·T) A constant, characteristic of the reaction Ea, activation energy, 100 kJ/mol, typical value for many reactions R: Gas constant, 8.314 J/(mol·K)

  Exercise: GW-06    

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By what factor x does the proportion of molecules with an energy of Ea increase with a temperature increase of 10 Kelvin?
Various indications:

1. The relationship between temperature and k (the value sought at a given temperature) is given by the following Arrhenius equation:
2. k = A · e^(-Ea/R·T)
3. A constant, characteristic of the reaction
4. Ea, activation energy, 100 kJ/mol, typical value for many reactions
5. R: Gas constant, 8.314 J/(mol·K)

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Solution:

1. The temperature increase is 10 kelvins. It is (of which:) adopted, that T₁ z.B. 300K and T₂ 310 K be
2. k(T=300K) = A · 3.87 · 10^-18
3. k(T=310K) = A · 1.41 · 10^-17
4. Proportion k(T=310K)/k(T=300K) = 3.7

The calculated value of approx. 4 ([translation unavailable] 3.7) corresponds to [translation unavailable] the RGT-rule, which it says:, that at a temperature increase to 10 degree (or 10 kelvin) the reaction rate itself to the factor 2-3 increased. This corresponds to not [translation unavailable] the prediction of 3.7, can but through not successfully flowers (approximation of provisions the molecules) explained are.

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