Equilibrium constants K1, and K2 for the following equilibria I. NO ( g )+(1/2) O 2( g ) leftharpoons NO 2( g ) II. 2 NO 2( g ) leftharpoons 2 NO ( g )+ O 2( g ) are related as :

Question

Equilibrium constants K1, and K2 for the following equilibria I. NO ( g )+(1/2) O 2( g ) leftharpoons NO 2( g ) II. 2 NO 2( g ) leftharpoons 2 NO ( g )+ O 2( g ) are related as : (A)  K1 = √K2 (B)  K2 = (1/K1) (C)  K1 = 2 K2 (D)  K2 = (1/K21)

Tardigrade Admin · Accepted Answer

Given relations NO (g)+(1/2) O 2(g) leftharpoons NO 2(g) ; K1 dots(i) 2 NO 2(g) leftharpoons 2 NO (g)+ O 2(g) ; K2 ldots (ii) On comparing Eqs. (i) and (ii) and to make Eq. (i) = Eq. (ii), Reverse Eq. (i) and multiply it with 2 , we get 2 NO 2(g) leftharpoons 2 NO (g)+ O 2 ; (1/K12) dots(iii) Thus, Eq. (ii) = Eq. (iii) and, K2=(1/K12)

Q. Equilibrium constants $K_{1}$ , and $K_{2}$ for the following equilibria
I. $N O_{(g)} + \frac{1}{2} O_{2 (g)} ⇌ N O_{2 (g)}$
II. $2 N O_{2 (g)} ⇌ 2 N O_{(g)} + O_{2 (g)}$ are related as :

$K_{1} = K_{2}$

$K_{2} = \frac{1}{K _{1}}$

$K_{1} = 2 K_{2}$

$K_{2} = \frac{1}{K _{1}^{2}}$

Q. Equilibrium constants K1​, and K2​ for the following equilibria I. NO(g)​+21​O2(g)​⇌NO2(g)​ II. 2NO2(g)​⇌2NO(g)​+O2(g)​ are related as :

K1​=K2​​

K2​=K1​1​

K1​=2K2​

K2​=K12​1​

Q. Equilibrium constants $K_{1}$ , and $K_{2}$ for the following equilibria
I. $N O_{(g)} + \frac{1}{2} O_{2 (g)} ⇌ N O_{2 (g)}$
II. $2 N O_{2 (g)} ⇌ 2 N O_{(g)} + O_{2 (g)}$ are related as :

$K_{1} = K_{2}$

$K_{2} = \frac{1}{K _{1}}$

$K_{1} = 2 K_{2}$

$K_{2} = \frac{1}{K _{1}^{2}}$