Hey guys, i would really appreciate it if y'all could take some time to help me solve this qn.
The maximum allowable temperature for a reactor is 800 K. However, it is typical to set the operating temperature at 780 K which is 20 K below the maximum temperature as safety margin. Recently, a new and more sophisticated control system allows us to increase the operating temperature to 798 K with the same safety risk as for operation at 780 K. If the activation energy of reaction taking place in the reactor is 200 kJ/mol,
Estimate the percentage of increase in the reaction rate due to the change of operating temperature from 780 K to 798 K.
Can you use Arrhenius? If so, then your increase is just
( exp( - (200 kJ/mol) * ( 1/798K - 1/780K ) / k ) * 100% ) - 100%
where k is the Boltzmann constant.
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