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tqueen2169 tqueen2169
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11 years ago
Theres an equation I have been given to calculate activation energy in KJ mol-1 which is-  ln(K2/K1) = (Ea/R)(T2-T1)/(T2T1)

I have the values of K1 and K2 and T1 and T2 however I dont understand how to use this equation as Ea is part of the equation.  I would be very grateful if someone could explain how I use this formula to work out the activation energy.
Thank you.
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11 years ago
To solve
\(ln(\frac{{{K}_{2}}}{{{K}_{1}}}) = \frac{{{E}_{a}}}{R}*\frac{{{T}_{2}}-{{T}_{1}}}{{{T}_{2}}{{T}_{1}}}\)
for activation energy, you would multiply both sides by RT2T1 and then divide both sides by (T2 - T1).  The result:

\(\frac{R*{{{T}_{2}}*{{T}_{1}}}*ln(\frac{{{K}_{2}}}{{{K}_{1}}})}{({{T}_{2}}-{{T}_{1}})} = {{E}_{a}}\)

I believe for this you would use 8.3144621 J K−1mol−1 as the value of R, the gas constant.

If I am not understanding the question, please let me know.  But as far as I can tell, if you have K1, K2, T1, T2, and R, you should be able to plug this into the derived equation and obtain the activation energy, Ea
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