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) sumn=1+(3alpha)/(2)=1`
`1-alpha (alpha)/(2) 2x 1-alpha=1`
`K_(P)=((overset(alpha)(2)P)(overset(2alpha)(1)xxP)^(4))/((P))^(2)=8P^(3)alpha^(5)`