For the following mechanism, `P + Qoverset(K_(A))underset(K_(B))hArr PQ`
`overset(K_(C))underset(K_(D))hArr` R at equilibrium `([R])/([P][Q])` is: [K represents rate constant]

Options

A. `(K_(A).K_(B))/(K_(C).K_(D))`
B. `(K_(A).K_(D))/(K_(B).K_(C))`
C. `(K_(B).K_(D))/(K_(A).K_(C))`
D. `(K_(A).K_(C))/(K_(B)K_(D))`

Answer

D

Explanation

`(K_(A))/(K_(B))=([PQ])/([P][Q])` ....(i)
` (K_(C))/(K_(D))=([R])/([PQ])`.....(ii)
On multiply equation (i) and (ii) we get
`(K_(A).K_(C))/(K_(B).K_(D))=([R])/([P][Q])`