question_answer

Equilibrium constants \[{{K}_{1}}\] and \[{{K}_{2}}\] for the following equilibria:

\[{{N}_{2}}(g)+\frac{1}{2}{{O}_{2}}\,N{{O}_{2}}(g)\,\] and

\[2N{{O}_{2}}(g)\,2NO(g)+{{O}_{2}}(g)\]

are related as:                                                                                                            [AIPMT (S) 2005]

A)        \[{{K}_{2}}=\frac{1}{{{K}_{1}}}\]                

B)  \[{{K}_{2}}=K_{1}^{2}\]      

C)  \[{{K}_{2}}=\frac{{{K}_{1}}}{2}\]                

D)  \[{{K}_{2}}=\frac{1}{K_{1}^{2}}\]

Correct Answer: D

Solution :

(i)

(ii)

From eq. (i)

From Eqs. (ii) and (iii)