Consider this equilibrium reaction at 400 K. Br, (g) + Cl,(g) = 2 BrCI(g) K. = 7.0 If the composition of the reaction mixture at 400 K is [BrCI] = 0,00248 M, [Br,] = 0.00570 M, and [Cl,] = 0.00105 M, what is the reaction quotient, Q? Q = How is the reaction quotient related to the equilibrium constant, Ke, for this reaction? Oo < K. O e > K, O0 = K.

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**Reaction Quotient and Equilibrium Constant**

**Consider this equilibrium reaction at 400 K:**

\[ \text{Br}_2(g) + \text{Cl}_2(g) \rightleftharpoons 2 \text{BrCl}(g) \quad K_c = 7.0 \]

If the composition of the reaction mixture at 400 K is \([\text{BrCl}] = 0.00248 \, \text{M}\), \([\text{Br}_2] = 0.00570 \, \text{M}\), and \([\text{Cl}_2] = 0.00105 \, \text{M}\), what is the reaction quotient, \(Q\)?

\[ Q = \]

**How is the reaction quotient related to the equilibrium constant, \(K_c\), for this reaction?**

- \(Q < K_c\)
- \(Q > K_c\)
- \(Q = K_c\)

**Explanation of Reaction Quotient, \(Q\):**

The reaction quotient, \(Q\), provides a snapshot of the ratio of the concentrations of products to reactants at any point in time for a reversible reaction. It is calculated in a similar way to the equilibrium constant, \(K_c\), but the concentrations do not have to be at equilibrium.

For the given reaction:

\[ \text{Br}_2(g) + \text{Cl}_2(g) \rightleftharpoons 2 \text{BrCl}(g) \]

The reaction quotient, \(Q\), is given by:

\[ Q = \frac{[\text{BrCl}]^2}{[\text{Br}_2][\text{Cl}_2]} \]

Given:
- \([\text{BrCl}] = 0.00248 \, \text{M}\)
- \([\text{Br}_2] = 0.00570 \, \text{M}\)
- \([\text{Cl}_2] = 0.00105 \, \text{M}\)

Substituting these values into the equation for \(Q\):

\[ Q = \frac{(0.00248)^2}{(0.00570)(0.00105)} \]

Calculate \(Q\) and compare it to \(K_c\) to determine if the system is at equilibrium (\(Q = K_c\)),
Transcribed Image Text:**Reaction Quotient and Equilibrium Constant** **Consider this equilibrium reaction at 400 K:** \[ \text{Br}_2(g) + \text{Cl}_2(g) \rightleftharpoons 2 \text{BrCl}(g) \quad K_c = 7.0 \] If the composition of the reaction mixture at 400 K is \([\text{BrCl}] = 0.00248 \, \text{M}\), \([\text{Br}_2] = 0.00570 \, \text{M}\), and \([\text{Cl}_2] = 0.00105 \, \text{M}\), what is the reaction quotient, \(Q\)? \[ Q = \] **How is the reaction quotient related to the equilibrium constant, \(K_c\), for this reaction?** - \(Q < K_c\) - \(Q > K_c\) - \(Q = K_c\) **Explanation of Reaction Quotient, \(Q\):** The reaction quotient, \(Q\), provides a snapshot of the ratio of the concentrations of products to reactants at any point in time for a reversible reaction. It is calculated in a similar way to the equilibrium constant, \(K_c\), but the concentrations do not have to be at equilibrium. For the given reaction: \[ \text{Br}_2(g) + \text{Cl}_2(g) \rightleftharpoons 2 \text{BrCl}(g) \] The reaction quotient, \(Q\), is given by: \[ Q = \frac{[\text{BrCl}]^2}{[\text{Br}_2][\text{Cl}_2]} \] Given: - \([\text{BrCl}] = 0.00248 \, \text{M}\) - \([\text{Br}_2] = 0.00570 \, \text{M}\) - \([\text{Cl}_2] = 0.00105 \, \text{M}\) Substituting these values into the equation for \(Q\): \[ Q = \frac{(0.00248)^2}{(0.00570)(0.00105)} \] Calculate \(Q\) and compare it to \(K_c\) to determine if the system is at equilibrium (\(Q = K_c\)),
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