In a Arrhenius equation for a certain reaction, the values of `A and E_(a)` ( energy of activation)are `4xx10^(13)s^(-1)` and `98.6KJ mol^(-1)`, respectively. If the reaction of first order at, what temperature will its life periof be `10 min`.

Explanation

`k=Ae^(-E_(a)//RT)`
`= 4xx10^(13)e^(-(98.6xx10^(3))//8.344xxT)`
For first orser, `k=(0.693)/(600)s^(-1)`
`(0.963)/(600)= 1og^(4)xx10^(13) -(98.6xx10^(3))/(8.314xx2.303xxT)`
`T= 311.35K`