For the following reactions, equilibrium constants are given : \( \mathrm{S}(\mathrm{s})+\mathrm...

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For the following reactions, equilibrium constants are given :
\( \mathrm{S}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_{2}(\mathrm{~g}) ; \mathrm{K}_{1}=10^{52} \)
\( 2 \mathrm{~S}(\mathrm{~s})+3 \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_{3}(\mathrm{~g}) ; \mathrm{K}_{2}=10^{129} \)
The equilibrium constant for the reaction,
\( 2 \mathrm{SO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_{3}(\mathrm{~g}) \) is :
(1) \( 10^{181} \)
(2) \( 10^{154} \)
(3) \( 10^{25} \)
(4) \( 10^{77} \)
 
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