At a certain temperature `T`, a compound `AB_(4)(g)` dissociates as
`2AB_(4)(g)hArrA_(2)(g)+4B_(2)(g)`
with a degree of dissociation `alpha`, which compared to unity. The expressio of `K_(P)` in terms of `alpha` and total pressure `P` is:

Options

A. `8P^(3)x^(5)`
B. `256P^(3)x^(5)`
C. `4Px^(2)`
D. None of these

Answer

A

Explanation

`2AB_(4)(g)hArrA_(2)(g) + 4B_(2)(g)`, `sum n=1 + (3x)/(2) ~= 1`
`1-x` `(x)/(2)` 2x `1-x~= 1`
`K_(p) = (((x)/(2)P)((2x)/(1)xxP)^(4))/((P)^(2)) = 8P^(2)x^(5)`