chem: Add Arrhenius equation

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eggy 2021-11-22 19:04:24 -05:00
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commit 86cd13195e

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@ -392,6 +392,25 @@ A reaction mechanism is only plausible if:
### Arrhenius equation
The Arrhenius equation relates the temperature to the rate of a reaction.
Where:
- $k$ is the rate constant,
- $R$ is the ideal gas constant,
- $E_a$ is the activation energy for the reaction,
- $A$ is the proportionality/Arrhenius constant for the reaction,
- and $e$ is Euler's number
$$k=Ae^\frac{-E_a}{RT}$$
Graphing $\ln k$ against $\frac{1}{T}$ forms the linear relation:
$$\ln k = \frac{-E_a}{R}\frac{1}{T}+\ln A$$
where the slope of the graph is $\frac{-E_a}{R}$ and the y-intercept is $\ln A$.
The number of moles of gas particles that are above the activation energy threshold is expressed in the second term of the equation: $e^\frac{-E_a}{RT}$.
## Equilibrium
## Resources