Consider the equilibrium system described by the chemical reaction below. A 1.00L reaction vessel was filled with 2.00 mol SO, and 2.00 mol NO, and allowed to react at a high temperature. At equilibrium, there were 1.30 mol of NO in the vessel. Determine the concentrations of all reactants and products at equilibrium and then calculate the value of Kc for this reaction. SO-(g) + NO2(g)=SO;(g) + NO(g)

Chemistry
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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
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**Question: 10 of 17**

Consider the equilibrium system described by the chemical reaction below. A 1.00 L reaction vessel was filled with 2.00 mol SO₂ and 2.00 mol NO₂ and allowed to react at a high temperature. At equilibrium, there were 1.30 mol of NO in the vessel. Determine the concentrations of all reactants and products at equilibrium and then calculate the value of \( K_c \) for this reaction.

**Chemical Reaction:**  
\[ \text{SO}_2(g) + \text{NO}_2(g) \rightleftharpoons \text{SO}_3(g) + \text{NO}(g) \]

**Instructions:**  
Based on the setup of your ICE table, construct the expression for \( K_c \) and then evaluate it. Do not combine or simplify terms.

\[ K_c = \frac{\text{[product]} \times \text{[product]}}{\text{[reactant]} \times \text{[reactant]}} = \]

**Choices for Inputs:**  
\[ [0] \quad [x] \quad [1.00] \quad [2.00] \quad [1.30] \quad [2.30] \quad [2.70] \quad [0.70] \]  
\[ [1.35] \quad [2.00 - x] \quad [2.00 + x] \quad [x]^2 \quad [2.00 - x]^2 \quad [2.00 + x]^2 \]  
\[ 1.9 \quad 0.54 \quad 0.29 \quad 3.4 \]

**RESET Button:**  
A button labeled "RESET" is available for restarting the calculation process.
Transcribed Image Text:**Question: 10 of 17** Consider the equilibrium system described by the chemical reaction below. A 1.00 L reaction vessel was filled with 2.00 mol SO₂ and 2.00 mol NO₂ and allowed to react at a high temperature. At equilibrium, there were 1.30 mol of NO in the vessel. Determine the concentrations of all reactants and products at equilibrium and then calculate the value of \( K_c \) for this reaction. **Chemical Reaction:** \[ \text{SO}_2(g) + \text{NO}_2(g) \rightleftharpoons \text{SO}_3(g) + \text{NO}(g) \] **Instructions:** Based on the setup of your ICE table, construct the expression for \( K_c \) and then evaluate it. Do not combine or simplify terms. \[ K_c = \frac{\text{[product]} \times \text{[product]}}{\text{[reactant]} \times \text{[reactant]}} = \] **Choices for Inputs:** \[ [0] \quad [x] \quad [1.00] \quad [2.00] \quad [1.30] \quad [2.30] \quad [2.70] \quad [0.70] \] \[ [1.35] \quad [2.00 - x] \quad [2.00 + x] \quad [x]^2 \quad [2.00 - x]^2 \quad [2.00 + x]^2 \] \[ 1.9 \quad 0.54 \quad 0.29 \quad 3.4 \] **RESET Button:** A button labeled "RESET" is available for restarting the calculation process.
### Equilibrium Concentration Calculation Using ICE Table

**Problem Description:**
Consider the equilibrium system described by the chemical reaction below. A 1.00 L reaction vessel was filled with 2.00 mol of SO₂ and 2.00 mol of NO₂ and allowed to react at a high temperature. At equilibrium, there were 1.30 mol of NO in the vessel. Determine the concentrations of all reactants and products at equilibrium and then calculate the value of \( K_c \) for this reaction.

\[ \text{SO}_2(g) + \text{NO}_2(g) \rightleftharpoons \text{SO}_3(g) + \text{NO}(g) \]

**Steps to Solve:**
1. **Initial Concentrations:**
   - \[\text{SO}_2(g)\]: 2.00 M
   - \[\text{NO}_2(g)\]: 2.00 M
   - \[\text{SO}_3(g)\]: 0.00 M
   - \[\text{NO}(g)\]: 0.00 M

2. **Change in Concentrations (let change be x):**
   - \[\text{SO}_2(g)\]: -x
   - \[\text{NO}_2(g)\]: -x
   - \[\text{SO}_3(g)\]: +x
   - \[\text{NO}(g)\]: +x

3. **Equilibrium Concentrations:**
   - \[\text{SO}_2(g)\]: \( 2.00 - x \) M
   - \[\text{NO}_2(g)\]: \( 2.00 - x \) M
   - \[\text{SO}_3(g)\]: \( x \) M
   - \[\text{NO}(g)\]: \( x \) M

**Given:**
At equilibrium, \(\text{NO} = 1.30\) M, hence \(x = 1.30\).

4. **Resulting Equilibrium Values:**
   - \[\text{SO}_2(g)\]: \( 2.00 - 1.30 = 0.70 \) M
   - \[\text{NO}_2(g)\]: \( 2.00 - 1.30 = 0.70 \) M
Transcribed Image Text:### Equilibrium Concentration Calculation Using ICE Table **Problem Description:** Consider the equilibrium system described by the chemical reaction below. A 1.00 L reaction vessel was filled with 2.00 mol of SO₂ and 2.00 mol of NO₂ and allowed to react at a high temperature. At equilibrium, there were 1.30 mol of NO in the vessel. Determine the concentrations of all reactants and products at equilibrium and then calculate the value of \( K_c \) for this reaction. \[ \text{SO}_2(g) + \text{NO}_2(g) \rightleftharpoons \text{SO}_3(g) + \text{NO}(g) \] **Steps to Solve:** 1. **Initial Concentrations:** - \[\text{SO}_2(g)\]: 2.00 M - \[\text{NO}_2(g)\]: 2.00 M - \[\text{SO}_3(g)\]: 0.00 M - \[\text{NO}(g)\]: 0.00 M 2. **Change in Concentrations (let change be x):** - \[\text{SO}_2(g)\]: -x - \[\text{NO}_2(g)\]: -x - \[\text{SO}_3(g)\]: +x - \[\text{NO}(g)\]: +x 3. **Equilibrium Concentrations:** - \[\text{SO}_2(g)\]: \( 2.00 - x \) M - \[\text{NO}_2(g)\]: \( 2.00 - x \) M - \[\text{SO}_3(g)\]: \( x \) M - \[\text{NO}(g)\]: \( x \) M **Given:** At equilibrium, \(\text{NO} = 1.30\) M, hence \(x = 1.30\). 4. **Resulting Equilibrium Values:** - \[\text{SO}_2(g)\]: \( 2.00 - 1.30 = 0.70 \) M - \[\text{NO}_2(g)\]: \( 2.00 - 1.30 = 0.70 \) M
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