The decomposition of SO2Cl2 is first order in SO2Cl2 and has a rate constant of 1.42 x 10-4 s-1 at a certain temperature. How long will it take for the concentration of SO2Cl2 to decrease to 25% of its initial concentration

The time taken is 9764.4 seconds

Explanation:

Rate law expression for first order kinetics is given by the equation:

where,

k = rate constant  =

t = time taken for decay process = ? sec

= initial amount of the reactant = 100 grams

[A] = amount left after decay process =  25 grams

Putting values in above equation, we get:

Hence, the time taken is 9764.4 seconds