In the first order reaction a → products, the initial concentration of a is 0.1 108m, and 44 s later, 0.0554m. what is the initial rate of this reaction? (initial rate-k[a]). (t %-0.693/k)

Answer : The initial rate of the reaction is,

Explanation :

First we have to calculate the rate constant of the reaction.

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

where,

k = rate constant  = ?

t = time taken for the process  = 44 s

= initial amount or concentration of the reactant  = 0.1108 M

= amount or concentration left time 44 s = 0.0554 M

Now put all the given values in above equation, we get:

Now we have to calculate the initial rate of the reaction.

Initial rate = K [A]

At t = 0,

Initial rate = 0.0157 × 0.1108 =

Therefore, the initial rate of the reaction is,