Consider the reaction. A(aq) = 2 B(aq) K = 1.65 x 10-º at 500 K If a 2.90 M sample of A is heated to 500 K, what is the concentration of B at equilibrium?

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**Equilibrium Reaction Analysis**

Consider the reaction:

\[ \text{A(aq)} \rightleftharpoons 2 \text{B(aq)} \]

Given the equilibrium constant:

\[ K = 1.65 \times 10^{-6} \text{ at } 500 \text{ K} \]

**Problem Statement:**

If a 2.90 M sample of A is heated to 500 K, what is the concentration of B at equilibrium?

---

**Explanation and Analysis:**

In this problem, we examine the equilibrium dynamics of a reaction where a single reactant A in aqueous solution forms two moles of product B. The reaction is characterized by its equilibrium constant \( K \), a measure of the ratio of concentrations of products to reactants at equilibrium, at a specified temperature of 500 K.

The task is to determine the concentration of the product B when the reaction reaches equilibrium after an initial concentration of 2.90 M of reactant A is subjected to the temperature condition provided.

This type of problem typically involves setting up an ICE table (Initial, Change, Equilibrium) and solving a quadratic equation derived from the equilibrium constant expression.
Transcribed Image Text:**Equilibrium Reaction Analysis** Consider the reaction: \[ \text{A(aq)} \rightleftharpoons 2 \text{B(aq)} \] Given the equilibrium constant: \[ K = 1.65 \times 10^{-6} \text{ at } 500 \text{ K} \] **Problem Statement:** If a 2.90 M sample of A is heated to 500 K, what is the concentration of B at equilibrium? --- **Explanation and Analysis:** In this problem, we examine the equilibrium dynamics of a reaction where a single reactant A in aqueous solution forms two moles of product B. The reaction is characterized by its equilibrium constant \( K \), a measure of the ratio of concentrations of products to reactants at equilibrium, at a specified temperature of 500 K. The task is to determine the concentration of the product B when the reaction reaches equilibrium after an initial concentration of 2.90 M of reactant A is subjected to the temperature condition provided. This type of problem typically involves setting up an ICE table (Initial, Change, Equilibrium) and solving a quadratic equation derived from the equilibrium constant expression.
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