For a Ist order decomposition of `A` as given

Therefore rate constant `(K)` for the overall decomposition of `A` is

Options

A. `K = k_(1) + k_(2)+ …..+ k_(n)`
B. `K = (k_(1) + k_(2)+ …..+ k_(n))_(n)`
C. `K = k_(1) xx k_(2) xx …..xx k_(n)`
D. `K = k_(1)k_(2) + k_(2)k_(3)+ …..+ k_(n-1) k_(n)`

Answer

A

Explanation

`(-d[A])/(d t) = k_(1)[A] + k_(2)[A]+ ------+k_(n)[A]`
`= (k_(1) + k_(2) + ----+k_(n))[A] = K_("overall")[A]`