The values of (K_ p₁ ) and (K_ p₂ ) for the reactions (X Y+Z ) ...(i) and (A 2 B ) ...(ii) are in ratio of (9: 1 ). If degree of dissociation of (X ) and (A ) be equal, then total pressure at equilibrium (i) and (ii) are in the ratio

Step-by-step solution

From equation. ( array lcc & X & & Y & + & Z Initial mole & 10 & & 0 & & 0 mole at equilibrium & (1-a) & & a & & a array ) aligned & K_ p₁ = p_Y p_z p_X & = [ p₁ 1+ ] [ p₁ 1+ ] [ 1- 1+ ] p₁ & K_ P₁ = ^2 p₁ 1- ^2 aligned From equation ( array lcc & A & & 2 B Initial mole & 10 & & 0 mole at equilibrium & (1-a) & & 2 a array ) aligned & K_ p₂ = [ 2 1+ p₂ ]^2 [ 1- 1+ ] p₂ = 4 ^2 p₂ 1- ^2 aligned From Eqs (i) and (ii) K_ P₁ K_ P₂ = p₁ 4 p₂ array ll & 9 1 = p₁ 4 p₂ & p₁ p₂ = 36 1 array