K_1 and K_2 are the equilibrium constants for the reactions respectively. N_2(g)+ O_2(g) overset(K_1)hArr 2NO(g) 2NO(g)+ O_2(g) overset(K_2)hArr 2NO_2(g) What is the equilibriumconstant for the required reaction NO_2(g) hArr 1/2N_2(g)+ O_2(g)

K_1 and K_2 are the equilibrium constants for the reactions respective

1.	K_1 and K_2 are the equilibrium constants for the reactions respectively. N_2(g)+ O_2(g) overset(K_1)hArr 2NO(g) 2NO(g)+ O_2(g) overset(K_2)hArr 2NO_2(g) What is the equilibriumconstant for the required reaction NO_2(g) hArr 1/2N_2(g)+ O_2(g)
Answer» `1/(sqrtK_1K_2)` `(K_1= K_2)^(1/2)` `1/(2K_1K_2)` `(1/(K_1K_2))^(3/2)` Solution :LET equilibrium constant for the required reaction be K. Then, `K_1 = ([NO]^2)/([N_2][O_2]),K_2=([NO_2]^2)/([NO]^2[O_2]),K=([N_2]^(1/2)[O_2])/([NO_2])` `sqrtK_1 = [NO]/([N_2]^(1/2)[O_2]^(1/2)),sqrtK_2 = ([NO_2])/([NO][O_2]^(1/2))` `SQRT(K_1.K_2) = ([NO_2])/([N_2]^(1/2)[O_2])` `:. K =1/(sqrt(K_1K_2))`