1.

For a first order reaction ,

Answer»

The DEGREE of dissociation is equal to `(1 - e^(-kt))`
A PLOT of reciprocal concentration of the reactant v/s time gives a straight line
The time TAKEN for the completion of 75% reaction is thrice the `t_(1//2)` of the reaction
The pre-exponential factor in the Arrhenius EQUATION has the dimension of time , `T^(-1)`.

Solution :In first orderreaction , if `alpha`is the degree of dissociation therefore
Kt = `log_(e)(1)/((1-alpha)) = -log_(e) (1- alpha) ` or `e^(-kt) = 1 - alpha `
`therefore a = 1 - e^(-kt)`
The Arrhenius equation , is `k = AE^(-E_(a)//RT)`
Plot of reciprocal concentration of the reactant v/s time is linear . Dimensions of pre-exponential factor 'A' are equivalent to dimensions of K ,which is `T^(-1)` for a first order reaction .


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