1. Tardigrade
  2. Question
  3. Chemistry
  4. For the following reactions, equilibrium constants are given: S(s)+O2(g) leftharpoonsSO2(g); K1 =1052 2S(s)+3O2(g) leftharpoons2SO3(g); K2 = 10129 The eqilibrium constant for the reaction, 2SO2(g)+O2(g)leftharpoons2SO3(g) is :

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Q. For the following reactions, equilibrium constants are given :
$S\left(s\right)+O_{2}\left(g\right) $${\rightleftharpoons}$$SO_{2}\left(g\right); K_{1} =10^{52}$ $2S\left(s\right)+3O_{2}\left(g\right) $${\rightleftharpoons}$$2SO_{3}\left(g\right); K_{2} = 10^{129}$
The eqilibrium constant for the reaction,
$2SO_{2}\left(g\right)+O_{2}\left(g\right)$${\rightleftharpoons}$$2SO_{3}\left(g\right)$ is :

JEE MainJEE Main 2019Equilibrium

Solution:

$2SO_{2 }\left(g\right) + O_{2} \left(g\right)\to2SO_{3} \left(g\right)$
$K_{eq} = \frac{\left[SO_{3}\right]^{2}}{\left[O_{2}\right]\left[SO_{2}\right]^{2}}$
$= \frac{K_{2}}{K_{1}} = \frac{10^{129}}{10^{104}} = 10^{25}$