If an equal number of moles of reactants are used, do the following equilibrium mixtures contain primarily reactants or products? Please note this question has 1 submission for each part. (a) HCN(aq) + H2O(l) equilibrium reaction arrow CN −(aq) + H3O+(aq) K = 6.2 10-10 products reactants (b) H2(g) + Cl2(g) equilibrium reaction arrow 2 HCl(g) K = 2.51 104 reactants products

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Answer:

For a: The equilibrium mixture contains primarily reactants.

For b: The equilibrium mixture contains primarily products.

Explanation:

There are 3 conditions:

  • When [tex]K_{eq}>1[/tex]; the reaction is product favored.
  • When [tex]K_{eq}<1[/tex]; the reaction is reactant favored.
  • When [tex]K_{e}=1[/tex]; the reaction is in equilibrium.

For the given chemical reactions:

  • For a:

The chemical equation follows:

[tex]HCN(aq.)+H_2O(l)\rightleftharpoons CN^-(aq.)+H_3O^+(aq.);K_{eq}=6.2\times 10^{-10}[/tex]

The expression of [tex]K_{eq}[/tex] for above reaction follows:

[tex]K_{eq}=\frac{[CN^-][H_3O^+]}{[HCN][H_2O]}=6.2\times 10^{-10}[/tex]

As, [tex]K_{eq}<1[/tex], the reaction will be favored on the reactant side.

Hence, the equilibrium mixture contains primarily reactants.

  • For b:

The chemical equation follows:

[tex]H_2(g)+Cl_2(g)\rightleftharpoons 2HCl(g);K_{eq}=2.51\times 10^{4}[/tex]

The expression of [tex]K_{eq}[/tex] for above reaction follows:

[tex]K_{eq}=\frac{[HCl]^2}{[H_2][Cl_2]}=2.51\times 10^{4}[/tex]

As, [tex]K_{eq}>1[/tex], the reaction will be favored on the product side.

Hence, the equilibrium mixture contains primarily products.

Based on the equilibrium expression of the reactions;

  • reactant formation is favored in part A and the mixture contains primarily reactants since Keq < 1.
  • product formation is favored in part B the equilibrium mixture contains primarily products, since Keq > 1.

What is equilibrium constant, K?

The equilibrium constant, K is a ratio that shows the concentrations of the products divided by the concentrations of the reactants.

In determining which side of a reaction is favored at equilibrium;

  • When Keq > 1; product formation is favored
  • When Keq < 1; reactant formation is favored.
  • When Keq = 1 ; the reaction is at equilibrium.

For Part A:

The chemical equation for the equilibrium reaction is as follows:

HC-N(aq) + H₂O(l) ⇄ C-N⁻ (aq) + H₃O⁺ (aq) Keq = 6.2 * 10⁻¹⁰

the equilibrium constant expression is as follows;

Keq = [C-N⁻ ] [H₃O⁺] / [HC-N] [H₂O] = 6.2 * 10⁻¹⁰

Since Keq < 1; reactant formation is favored and the mixture contains primarily reactants.

For Part B:

The chemical equation for the equilibrium reaction is as follows:

H₂(g) + Cl₂(l) ⇄ 2 HCl (g) Keq = 2.51 * 10⁴

the equilibrium constant expression is as follows;

Keq = [HCl ]² / [H₂] [Cl₂] = 2.51 * 10⁴

Since Keq > 1; product formation is favored and the equilibrium mixture contains primarily products.

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