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28.05.2020 •
Physics
The rate at which a metal alloy oxidizes in an oxygen-containing atmosphere is a typical example of the practical utility of the Arrhenius equation. For example, the rate of oxidation of a magnesium alloy is represented by a rate constant, k. The value of k at 300°C is 1.05 * 10-8kg/(m4 # s). At 400°C, the value of k rises to 2.95 * 10-4kg/(m4 # s). Calculate the activation energy, Q, for this oxidation process (in units of kJ/mol).
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Ответ:
The activation energy is
Explanation:
From the question we are told that
The rate constant is k
at the temperature
The value of k is
at temperature
The value of k is
The rate constant is mathematically represented as
Where Q is the activation energy
R is the ideal gas constant with a value of
C is a constant
T is the temperature
For the first rate constant
For the second rate constant
Now the ratio between the two given rate constant is
=>
substituting values
=>
Ответ: