I had to make a graph using lnK vs 1/T and find the slope. The slope was -1.23e4 and now I have to find Ea.
Do I divide the slope by R?
Yes, you can divide the slope by the gas constant, R, to determine the activation energy (Ea). The activation energy can be calculated using the Arrhenius equation, which relates the rate constant (k) to the temperature (T) and the activation energy.
The Arrhenius equation is given by:
k = Ae^(-Ea/RT)
Where:
k is the rate constant
A is the pre-exponential factor or the frequency factor
Ea is the activation energy
R is the gas constant
T is the temperature in Kelvin
By taking the natural logarithm (ln) of both sides of the equation, we can simplify it as follows:
ln(k) = ln(A) - (Ea/RT)
Now, if you plot ln(k) on the y-axis and 1/T on the x-axis, the slope of the line should be equal to (-Ea/R). Therefore, by dividing the slope (-1.23e4) by the gas constant (R), you can determine the activation energy (Ea).