The value of the equilibrium constant for the dissociation of HF is [tex]\rm 1.2\;\times\;10^-^3[/tex]. Thus, option D is correct.
The given balanced chemical equation is:
[tex]\rm 2\;HF\;\leftrightharpoons H_2\;+\;F_2[/tex]
The equilibrium constant for the reaction is given as the ratio of the concentration of product to reactant raised to the stoichiometric coefficient.
The equilibrium constant (Keq) for the given reaction is given as:
[tex]Keq=\rm \dfrac{[H_2]\;[F_2]}{[HF]^2}[/tex]
The equilibrium concentration is given as:
Substituting the values for the equilibrium constant:
[tex]Keq=\dfrac{[8.4\;\times\;10^-^3]\;[8.4\;\times\;10^-^3]}{[5.82\;\times\;10^-^2]} \\\\Keq=12.1\;\times\;10^-^4\\\\Keq=1.2\;\times\;10^-^3[/tex]
The value of the equilibrium constant for the dissociation of HF is [tex]\rm 1.2\;\times\;10^-^3[/tex]. Thus, option D is correct.
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