Hi everyone,

I'm a bit rusty on my calc, and hope someone here can help me. In reviewing a particular scientific paper, the reaction rate equation is expressed as:

$\displaystyle \frac{dR}{dt}=Ae^{\frac{-E}{kT}$

Where$\displaystyle \frac{dR}{dt}$ is the reduction in property with respect to time

A is the steric constant

k is the gas constant or Bolzmann constant (depending on units)

T is absolute temperature

and

E is the activation energy of the reaction

The paper then says "Integration of the rate equation, followed by the taking of logarithms, results in an equation of the form"

$\displaystyle \ln t = (\frac{E}{k})\frac{1}{T} + B$

I understand this to be true, but I am having a hard time getting from the first equation to the second equation on my own. If anyone could break it down step by step for me, I would be most appreciative.