Integrated rate expression for rate constant of first order reaction is given by `k=2.303/t`log`[[R]]_0/[[R]]`for general reaction `RtoP`.Derive an expression for half life period of first order reaction.

Explanation

`k=2.303/tlog[[R]]_0/[[R]]`At half life period, t=t_(1/2)`and `[R]=[R]_0\2`
therefore`t_(1/2)`=2.303/klog`([[R]]_0/[[R]])/2t_(1/2)2.303/klog2=0.693/k`