For the equilibrium `2NOBr(g) hArr2NO + Br_(2)(g)` , calculate the ratio `(K_(p))/(P)`, where P is the total pressure and `P_(Br_(2)) = (P)/(9)` at a certain temperature

Options

A. `(1)/(3)`
B. `(1)/(9)`
C. `(1)/(27)`
D. `(1)/(81)`

Answer

D

Explanation

`{:(2NOBr(g)hArr,2NO(g)+,Br(g)),(p-((2p)/(9)+(p)/(9)),(2p)/(9),(p)/(9)),(=(6p)/(9),,):}`
and `K_(p) = ((p_(NO))^(2)xx(p_(Br_(2))))/((p_(NOBr))^(2)) =(((2p)/(9))^(2)xx((p)/(9)))/(((6p)/(9))^(2)) =(p)/(81)`
`:. (K_(p))/(p) = (1)/(81)`