question_answer

Given that the equilibrium constant for the reaction, \[2S{{O}_{2}}(g)+{{O}_{2}}(g)2S{{O}_{3}}(g)\] has a value of 278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature?\[S{{O}_{3}}(g)S{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\].                                [AIPMT (M) 2012]

A)  \[1.8\times {{10}^{-3}}\]        

B)       \[3.6\times {{10}^{-3}}\]        

C)  \[6.0\times {{10}^{-2}}\]        

D)       \[1.3\times {{10}^{-5}}\]

Correct Answer: C

Solution :

Equilibrium constant for this reaction,

...(i)

Equilibrium constant for this reaction,

(ii)

On squaring Eq. (ii) both sides, we have