In the reaction `AB(g) hArr A(g) + B(g)` at `30^(@)C, k_(p)` for the dissociation equilibrium is `2.56xx10^(-2) atm`. If the total pressure at equilibrium is 1 atm, then the percentage dissociation of AB is

Options

A. 0.87
B. 0.13
C. 0.435
D. 0.16

Answer

D

Explanation

`AB(g)toA(g)+B(g)`
Applying law of mass action
`K_(p)=(alpha^(2)p)/(1-alpha^(2))` (given p=1 atm)
`:.(alpha^(2))/(1-alpha^(2))=2.56xx10^(-2)impliesalpha^(2)=2.56xx10^(-2)("":.alphaltltlt1)`
`impliesalpha=sqrt(2.56xx10^(-2))impliesalpha=0.16`
% age dissociation =16%.