diff --git a/docs/sch4uz.md b/docs/sch4uz.md index 4887097..4f8bd2f 100644 --- a/docs/sch4uz.md +++ b/docs/sch4uz.md @@ -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