The degree of dissociation of `SO_(3)` at equilibrium pressure is: `K_(p)` for `2SO_(3) (g)hArr2SO_(2)(g) + O_(2) (g)`

Options

A. `[(P_(0)alpha^(3))//2(1 - alpha)^(3)]`
B. `[(P_(0)alpha^(3))//(2 + alpha)(1 - alpha)^(2)]`
C. `[(P_(0)alpha^(2))//2(1 - alpha)^(2)]`
D. None of these

Answer

B

Explanation

`2SO_(3)hArr2SO_(2) + O_(2)`
`P(1-alpha)` `P alpha (P alpha)/(2)`
`P[1+(alpha)/(2)] = P_(0)`
`K_(p) = ((p^(2)alpha^(2))(P(alpha)/(2)))/(P^(2)(1-alpha^(2))) = (P_(0)alpha^(3))/((2+alpha)(1-alpha)^(2))`