A curve has been plotted for the first order reaction `AtoB`, Answer the following questions on the basis of the curve?
i) What is the relation between the slope of this line and rate constant?
ii) Calculate the rate constant for the reaction if the slope is `2 xx 10^(-4)s^(-1)`
iii) Derive the relationship between the half life of a first order reaction and its rate constant.

Explanation

i) Slope =`k//2.303` .the curve is of first order.
ii) Rate constant (k) = slope `xx 2.303 = (2.0 xx 10^(-4)s^(-1)) xx 2.303 = 4.606 xx 10^(-4)s^(-1)`
ii) Rate constant (k) between half life period `(t_(1//2))` and rate constant (k),