What is Arrhenius equation ? Derive an equation which describes the effect of rise of temperature (T) on the rate constant (k) of a reaction.

Explanation

The temperature dependence of the rate of reaction can be explained by Arrhenius equation.
`k=A.e ^(-Ea//RT)`
A = Arrhenius factor.
`E_(a)=` activation Energy
R = gas constant
T = Temperature (K)
`K = A.e ^(-E_(a)//RT)`
ln `k= ln A- E_(a)//RT`
`2.303log k=2.303log A -E_(a)//RT`
`T_(1), T_(2)` are Temperatures
`k_(1)` is rate constant at temperature `T_(1)`
`k_(2)` is rate constant at temperature `T_(2).`
`therefore 2.303 (log K_(2)-log K_(1))=(-E_(a))/(R) ((1)/(T_(2))-(1)/(T_(1)))`
`log ""(k_(2))/(k_(1))=(E_(a))/(2.303R)[(1)/(T_(1))-(1)/(T_(2))]`
The above equation describes the effect to temperature (T) on rate constant (k)