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.
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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