Chlorine gas, Cl2, and fluorine gas, F2, react at 2500 K to produce an equilibrium with CIF. The equilibrium constant for this reaction at 2500K, Kc = 25. A vessel is charged with 0.364 M chlorine, 0.364 M of fluorine, and 2.397 M CIF and allowed to reach equilibrium. i) write a balanced equation for this reaction. ii) Write an expression for the reaction quotient (Qc). iii) What are the equilibrium concentrations for this reaction? Show your work and use the methods I showed you in class.

Answers

Answer 1

When, chlorine and fluorine gas will react at 2500k to produce an equilibrium with CIF then, the balanced equation is; Cl₂(g) + F₂(g) ⇌ 2CIF(g), the expression for the reaction quotient is; Qc = [CIF]² / [Cl₂][F₂], and the equilibrium concentrations for chlorine is -0.688 M, for fluorine -0.688 M, and for chlorine fluoride is 3.449 M.

The balanced equation for the reaction is;

Cl₂(g) + F₂(g) ⇌ 2CIF(g)

The expression for the reaction quotient Qc will be;

Qc = [CIF]² / [Cl₂][F₂]

To find the equilibrium concentrations, we can use the ICE table;

Initial concentrations: [Cl₂] = 0.364 M

[F₂] = 0.364 M

[CIF] = 2.397 M

Change: -2x -2x +2x

Equilibrium concentrations; [Cl₂] = 0.364 - 2x M

[F₂] = 0.364 - 2x M

[CIF] = 2.397 + 2x M

At equilibrium, Qc = Kc;

25 = ([CIF]² / [Cl₂][F₂])

Substituting the equilibrium concentrations into this expression, we have;

25 = ((2.397 + 2x)² / (0.364 - 2x)(0.364 - 2x))

Simplifying and rearranging, we get a quadratic equation;

4x² - 14.518x + 4.1126 = 0

Solving for x using quadratic formula, we get;

x = 0.526 M

Therefore, the equilibrium concentrations are;

[Cl₂] = 0.364 - 2(0.526) = -0.688 M (this negative value indicates that all of the chlorine has reacted)

[F₂] = 0.364 - 2(0.526) = -0.688 M (this negative value indicates that all of the fluorine has reacted)

[CIF] = 2.397 + 2(0.526) = 3.449 M

Note that the negative concentrations for Cl₂ and F₂ simply indicate that all of the reactants have been consumed to form the product CIF at equilibrium.

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