Conisder the following reactions:
I. `A+B underset(k_(-1))overset(k_(1))hArr C`
II. `C + B overset(k_(2))rarr D`
Then `k_(1)[A][B]-k_(-1)[C]-k_(2)[C][B]` is equal to

Options

A. `(-d[A])/(dt)`
B. `(-d[B])/(dt)`
C. `(d[C])/(dt)`
D. `(d[D])/(dt)`

Answer

c

Explanation

`A+B underset(k_(-1))overset(k_(1))hArr C`
Rate of `C = k_(1)[A][B] - k_(-1)[C]`
`C + B overset(k_(2))rarr D`
Rate of disappearance of `C = -k_(2)[C][B]`
`rArr` Net rate of `C`
`= k_(1)[A][B] - k_(1)[C][B] = (d[C])/(dt)`