Respuesta :
The value of the equilibrium constant for the reaction is [tex]4.9\;\times\;10^{-1}[/tex]. Thus, option C is correct.
The equilibrium constant for the reaction is given as the ratio of the concentration of product to reactant raised to the stoichiometric coefficients.
Computation for the equilibrium constant
The balanced equation for the reaction is:
[tex]\rm H_2\;+\;CO_2\;\to\;H_2O\;+\;CO[/tex]
The equilibrium constant (K) for the given reaction is:
[tex]K=\rm \dfrac{[H_2O]\;[CO]}{[H_2]\;[CO_2]}[/tex]
Substituting the values for the concentration of the reactant and product:
[tex]K=\dfrac{[4.6\;\times\;10^{-3}]\;[4.6\;\times\;10^{-3}]}{[4.5\;\times\;10^{-2}]\;[9.5\;\times\;10^{-4}]} \\\\K=0.49\\\\K=4.9\;\times\;10^{-1}[/tex]
The value of the equilibrium constant for the reaction is [tex]4.9\;\times\;10^{-1}[/tex]. Thus, option C is correct.
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