If the equilibrium constant for the reaction, H ₂(g)+ I ₂(g) 2 HI (g) is K what is the equilibrium constant of HI (g) 1 2 H ₂(g)+ 1 2 I ₂(g) ?

Step-by-step solution

H ₂(g)+ I ₂(g) 2 HI (g) ; K K= [ HI ]^2 [ H ₂ ] [ I ₂ ] ...(i) For the reaction, HI (g) 1 2 H ₂(g)+ 1 2 I ₂(g) Equilibrium constant, K^ = [ H ₂ ]^ 1 / 2 [ I ₂ ]^ 1 / 2 [ HI ] On squaring both sides, we get (K^ )^2= [ H ₂ ] [ I ₂ ] [ HI ]^2 ...(ii) On multiplying Eqs. (i) and (ii), we get K (K^ )^2=1K^ = 1 K