Respuesta :

Answer:

A). 2.1 × [tex]10^{-2}[/tex]

Explanation:

Given reaction,

2[tex]HF[/tex] (g) ⇄ [tex]H_{2}[/tex] (g) + [tex]F_{2}[/tex] (g)

The concentrations are as following;

[tex]HF[/tex] = 5.82 × [tex]10^{-2}[/tex] M

[tex]H_{2}[/tex] = 8.4 × [tex]10^{-3}[/tex] M

[tex]F_{2}[/tex] = 8.4 × [tex]10^{-3}[/tex] M

So,

[tex]K_{eq}[/tex] = [([tex]H_{2}[/tex] ) × ([tex]F_{2}[/tex])] ÷ [[tex]HF[/tex]]^2

Now,

We can determine the value of [tex]K_{eq}[/tex] by substituting the values in above formula:

[tex]K_{eq}[/tex] = [ (8.4 × [tex]10^{-3}[/tex] M) × (8.4 × [tex]10^{-3}[/tex] M)] ÷ [(5.82 × [tex]10^{-2}[/tex])^2

= 2.08 * [tex]10^{-2}[/tex]

=  2.1 × [tex]10^{-2}[/tex]

[tex]K_{eq}[/tex] = 2.1 × [tex]10^{-2}[/tex]

Thus, option A is the correct answer.

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