The half life for a reaction between fixed conecntration of reactants varies with temperature as follows:
`{:(t^(@)C,520,533,555,574),(t_(1//2)sec,1288,813,562,477):}`
Calcutate the activation energy of this reaction.

Answer

`86.47KJ^(-1)`

Explanation

Use: `log((k_(2))/K_(1))=(E)/(2.303R)((1)/(T_(1))-(1)/(T_(2)))`
`k_(2)=0.693//t_(2)`
`k_(1)=0.693//t_(1)`
`:.log((t_(1))/(t_(2)))=(E)/(2.303R)((1)/(T_(1))-(1)/(T_(2)))`