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The basic relationship looks like
this:

where ln k is the natural log of the rate constant at temperature T (in Kelvin) and Ea
is the activation energy in Joules. R is the gas constant, in this case, 8.31 J/mol·K. This equation is written
in the slope-intercept form for a straight line and is
essentially a description of how the rate constant is related to
both the activation energy and the temperature (in Kelvin).  The constant (or y-intercept) is a number
related to the frequency of collisions. We don't need to be
concerned with it.
A relationship like this also
enables us to determine the activation energy for a reaction by
measuring its rate at various temperatures.  
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