00:01
To answer this question, we'll need a form of the arranius equation.
00:03
The uranus equation that we'll be using is the natural log of the rate constant at one temperature, say the higher temperature, the second temperature, is equal to ea over r multiplied by 1 over t1 minus 1 over t2, the higher temperature, plus the log, natural log of k at the lower temperature.
00:37
Rearranging this equation, we get activation energy being equal to r, natural log.
00:45
Remember in our log rules, we can combine these two values so that we get natural log of k divided by, natural log of k2 divided by k1.
00:56
We then divide that by 1 over t1, minus 1 over t2.
01:03
R is 8 .314 and then we'll go natural log of k2 that's provided at the higher temperature of 2 .8 times 10 to the negative 2 divided by k1 at the lower temperature 5 .4 times 10 to the negative 4 and then we'll divide that by 1 over temperature 5 .4 times 10 to the negative 4 and then we'll divide that by 1 over t1.
01:37
599 kelvin minus 1 over t2, 683 kelvin.
01:44
And we get an activation energy of 160 ,159.
01:53
I'm sorry, 159 ,881...