these are standard questions. s, u need 2 practic dem well.
here, degree of dissociation is @.
N2O4(g) → 2NO2
0 0 initial moles
1 - @ @ at equilibrium
total moles = 1 + @.
pNO2 = [ 2@ / ( 1+@) ]P , pN2O4 = (1-@ / 1+@) P
where pA represents partial pressure of A. and P represents total pressure.
Kp = [ [ 2@ / ( 1+@) ]P ]2 / [(1-@ / 1+@) P]
Kp = [4@2 / ( 1 - @2)] P
Kp = @2 ( 4P + Kp )
@ = \sqrt{K / (4P+K)}