Mechanism of the reaction is:
`A_(2) overset(k_(2))hArr 2A`
`A + B overset(k_(2))rarr C`
`A_(2) + C overset(k)rarr D + A`
What is (a) `(-d[A_(2)])/(dt)`, (b) `(-d[A])/(dt)`, (c ) `(d[C])/(d t)`, (d) `(d[D])/(dt)` ?

Explanation

(a) `(-d[A_(2)])/(dt) = k_(1)[A_(2)] - 2k_(1)[A]^(2) + k[A_(2)][C]`
(b) `(-d[A])/(dt) = 2k_(1)[A]^(2) - k_(1)[A_(2)] + k_(2)[A][B] - k[A_(2)][C]`
( c) `(d[C])/(dt) = k_(2)[A][B] - k[A_(2)] [C]`
(d) `(d[D])/(dt) = k[A_(2)][C]`