After 59.0 min, 59.0 min, 43.0 % 43.0% of a compound has decomposed. what is the half‑life of this reaction assuming first‑order kinetics?

The half‑life of this reaction assuming first‑order kinetics is 72.7 minutes

Explanation:

Expression for rate law for first order kinetics is given by:

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  =100

a - x = amount left after decay process  

a) for completion of 43 % of reaction  

b) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

The half‑life of this reaction assuming first‑order kinetics is 72.7 minutes