1.

Two gaseous equilibria \[S{{O}_{2(g)}}+\frac{1}{2}{{O}_{2(g)}}\] ⇌ \[S{{O}_{3(g)}}\] and \[2S{{O}_{3(g)}}\]⇌\[2S{{O}_{2(g)}}+{{O}_{2(g)}}\] have equilibrium constants \[{{K}_{1}}\] and \[{{K}_{2}}\] respectively at \[298\,K\]. Which of the following relationships between \[{{K}_{1}}\] and \[{{K}_{2}}\] is correct [CPMT 1988; CBSE PMT 1989; MP PET 1993, 95; RPMT 1999; MP PMT 2001]

A.                 \[{{K}_{1}}={{K}_{2}}\]  
B.                 \[{{K}_{2}}=K_{1}^{2}\]
C.                 \[{{K}_{2}}=\frac{1}{K_{1}^{2}}\]
D.                 \[{{K}_{2}}=\frac{1}{{{K}_{1}}}\]
Answer» D.                 \[{{K}_{2}}=\frac{1}{{{K}_{1}}}\]


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