**Chemical Equilibrium: Calculating Equilibrium Concentrations****Consider the general reaction below:**\( \mathbf{X_2(g) + 2Y_2(g) \rightleftharpoons 2XY_2(g)} \)**Given:**- Equilibrium Constant, \( K = 3.9 \times 10^{-8} \) at \( 298 \, \text{K} \)**Initial Conditions:**- 0.50 M \( \mathbf{X_2} \) and 0.50 M \( \mathbf{Y_2} \) were added to a sealed vessel.**Objective:**Calculate the equilibrium concentrations of the components. What is the equilibrium concentration of \( \mathbf{XY_2} \)?\[ [XY_2] = \boxed{?} \times 10^{\boxed{?}} \, \text{M} \]**Steps to Solve:**1. **Set up the ICE Table** (Initial, Change, Equilibrium) to find the equilibrium concentrations: - **Initial Concentrations:** \[ \begin{aligned} [X_2] &= 0.50 \, \text{M} \\ [Y_2] &= 0.50 \, \text{M} \\ [XY_2] &= 0 \, \text{M} \end{aligned} \] - **Change in Concentrations:** \[ \begin{aligned} [X_2] &= -x \\ [Y_2] &= -2x \\ [XY_2] &= +2x \end{aligned} \] - **Equilibrium Concentrations:** \[ \begin{aligned} [X_2] &= 0.50 - x \\ [Y_2] &= 0.50 - 2x \\ [XY_2] &= 2x \end{aligned} \]2. **Write the expression for the equilibrium constant \( K \):** \[ K = \frac{[XY_2]^2}{[X_2][Y_2]^2} \] Plug in the equilibrium concentrations: \[ 3.9 \times 10

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Consider the general reaction belo X₂(g) + 2Y₂(g) = 2XY₂(g) K = 3.9 x 10-8 @ 298 K 0.50 M X2 and Y2 were added to a sea vessel. Calculate the equilibrium concentrations of the components. Wha the equilibrium concentration of XY2 ?] [XY₂] = [?] x 10 M

Consider the general reaction belo X₂(g) + 2Y₂(g) = 2XY₂(g) K = 3.9 x 10-8 @ 298 K 0.50 M X2 and Y2 were added to a sea vessel. Calculate the equilibrium concentrations of the components. Wha the equilibrium concentration of XY2 ?] [XY₂] = [?] x 10 M

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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