The equilibrium constants for the reaction are N2(g)+3H2⇌2NH3(g);K1....(i) 2N2(g)+6H2⇌4NH3(g);K2.....(ii) Equilibrium constant for (i) reaction is K1=‌
[NH3]2
[N2][H2]3
.....(iii) Equilibrium constant for (ii) reaction is K2=‌
[NH3]4
[N2]2[H2]6
....(iv) Comparing (iii) and (v) K2=K12 or K1=√K2