**Equilibrium in Chemical Reactions: Analyzing the ICE Table**In this educational module, we will analyze a chemical reaction using an ICE (Initial, Change, Equilibrium) table to determine unknown quantities. Consider the following chemical equilibrium reaction:\[ \text{H}_2(\text{g}) + \text{CO}_2(\text{g}) \rightleftharpoons \text{CO}(\text{g}) + \text{H}_2\text{O}(\text{g}) \]The equilibrium constant \( K \) for this reaction at 823 K is 0.137, and the reaction quotient \( Q \) is 5.3.**Given Data:**- Initial partial pressure of \(\text{H}_2\): \( P_{\text{H}_2} = 0.50 \, \text{atm} \)- Initial partial pressure of \(\text{CO}_2\): \( P_{\text{CO}_2} = 0.75 \, \text{atm} \)- Initial partial pressure of \(\text{CO}\): \( P_{\text{CO}} = 1.0 \, \text{atm} \)- Initial partial pressure of \(\text{H}_2\text{O}\): \( P_{\text{H}_2 \text{O}} = 2.0 \, \text{atm} \)The task is to calculate the value of "X" in the ICE table considering the initial conditions and reaction quotient.**Question:**What is the value of "X" in the ICE table given the initial conditions and reaction quotient?**Solution:**To solve for "X", follow the ICE table methodology:1. **Initial Conditions:** - \(\text{H}_2\): \( P_{\text{H}_2} = 0.50 \, \text{atm} \) - \(\text{CO}_2\): \( P_{\text{CO}_2} = 0.75 \, \text{atm} \) - \(\text{CO}\): \( P_{\text{CO}} = 1.0 \, \text{atm} \) - \(\text{H}_2\text{O}\): \( P_{\text{H}_2 \text{O}} = 2. ### ICE Table Calculation for Equilibrium ConcentrationIn this exercise, we are given the following reaction:\[ \text{H}_2(g) + \text{CO}_2(g) \rightleftharpoons \text{CO}(g) + \text{H}_2\text{O}(g) \]We need to determine the value of "X" in the ICE (Initial, Change, Equilibrium) table, considering the initial conditions and reaction quotient provided.**Given Information:**- **Equilibrium Constant (K):** 0.137 at 823 K- **Reaction Quotient (Q):** 5.3**Initial Partial Pressures:**- \( P_{\text{H}_2} = 0.50 \text{ atm} \)- \( P_{\text{CO}_2} = 0.75 \text{ atm} \)- \( P_{\text{CO}} = 1.0 \text{ atm} \)- \( P_{\text{H}_2\text{O}} = 2.0 \text{ atm} \)**Question:**What is the value of "X" considering the initial conditions and reaction quotient?\[ \text{X} = \text{[?]} \]Please use the ICE table method and the given information to determine the precise value of X. You can enter your answer in the provided input box and submit it by clicking "Enter."---### Explanation of ICE TableAn ICE Table is a useful way to track the changes in concentrations (or partial pressures) of reactants and products as a chemical reaction reaches equilibrium.- **I (Initial):** The initial concentrations or partial pressures of reactants and products before the reaction begins.- **C (Change):** The change in concentrations or partial pressures as the system moves towards equilibrium.- **E (Equilibrium):** The concentrations or partial pressures when the system has reached equilibrium.In our case:1. **Initial Pressures (I):** Provided in the problem statement.2. **Change in Pressures (C):** This will depend on the stoichiometry of the balanced reaction.3. **Equilibrium Pressures (E):** Initial pressure ± change in pressure, depending on the direction of the reaction to reach equilibrium.By comparing Q and K, we can determine the direction in which the reaction must shift to reach equilibrium.

Given the reaction quotient, Q = 5.3 Equilibrium constant, K = 0.137 at 823 K

H₂(g) + CO₂(g) = CO(g) + H₂O(g) K = 0.137 @ 823 K; Q = 5.3 What is the value of "X" in the ICE table considering the initial conditions and reaction quotient? X = [?] PH₂ = 0.50 atm Pco₂ = 0.75 atm Pco = 1.0 atm PH₂O = 2.0 atm

H₂(g) + CO₂(g) = CO(g) + H₂O(g) K = 0.137 @ 823 K; Q = 5.3 What is the value of "X" in the ICE table considering the initial conditions and reaction quotient? X = [?] PH₂ = 0.50 atm Pco₂ = 0.75 atm Pco = 1.0 atm PH₂O = 2.0 atm

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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