The first order reaction, so2cl2 to so2+cl2,has a half life of 8.75 hours at 593k. How long will it take for the concentration of so2cl2 to fall to 12.5% of its initial value? 6.24hours 26.2hours 16.2hours 22.6hours

The time after which the concentration of fall to 12.5% of its initial value is 26.2 hours

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  = 12.5

a) 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.

b) for concentration to fall to 12.5 % of initial value  

The time after which the concentration of fall to 12.5% of its initial value is 26.2 hours