How do you determine A in the arrhenius equation?

1 Answer
Junaid Mirza · Truong-Son N.
Mar 14, 2018

Arrhenius Equation
The Arrhenius equation is a formula for the temperature dependence of reaction rate constants.

#"k = A e"^(-"E"_"a"//"RT")#

where:

  • #"k ="# Rate constant

  • #"A ="# Frequency factor

  • #"E"_"a" ="# Activation energy

  • #"R ="# Gas constant

  • #"T ="# Kelvin temperature

Apply natural logarithm on both the sides

#ln"k" = ln("A" e^(-"E"_"a"//"RT"))#

#ln"k" = ln"A" + lne^(-"E"_"a"//"RT")#

#ln"k" = ln"A" + (-("E"_"a")/("RT")) cdot lne#

#ln"k" = ln"A" - ("E"_"a")/"RT" color(white)(...)[∵ lne = 1]#

#color(blue)(ln"A" = ln"k" + ("E"_"a")/"RT")#

or

#color(red)(log"A" = log"k" + ("E"_"a")/"2.303RT") color(white)(...)[∵ ln"x" = 2.303log"x"]#

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