For the chemical equation SO, (g) + NO, (g) = SO;(g)+NO(g) the equilibrium constant at a certain temperature is 3.10. At this temperature, calculate the number of moles of NO, (g) that must be added to 2.10 mol SO, (g) in order to form 1.00 mol SO, (g) at equilibrium. moles of NO,(g): mol

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...
icon
Related questions
Question
**Chemical Equilibrium Problem**

For the chemical equation:
\[ \text{SO}_2(g) + \text{NO}_2(g) \rightleftharpoons \text{SO}_3(g) + \text{NO}(g) \]

The equilibrium constant (K) at a certain temperature is 3.10. At this temperature, calculate the number of moles of \(\text{NO}_2(g)\) that must be added to 2.10 mol of \(\text{SO}_2(g)\) in order to form 1.00 mol of \(\text{SO}_3(g)\) at equilibrium.

**Question:**
Calculate the moles of \(\text{NO}_2(g)\):

\[ \text{moles of NO}_2(g): \]
\[ \boxed{ \text{ mol} } \]

Explanation:
1. **Chemical Equation Overview:**
   - Reactants: \(\text{SO}_2(g)\) and \(\text{NO}_2(g)\)
   - Products: \(\text{SO}_3(g)\) and \(\text{NO}(g)\)

2. **Given Data:**
   - Equilibrium constant (\(K\)): 3.10
   - Initial moles of \(\text{SO}_2(g)\): 2.10 mol
   - Desired moles of \(\text{SO}_3(g)\) at equilibrium: 1.00 mol

3. **Equilibrium Calculations:**
   - To determine the initial number of moles of \(\text{NO}_2(g)\) needed to achieve 1.00 mol of \(\text{SO}_3(g)\) at equilibrium, you would set up an ICE (Initial, Change, Equilibrium) table and use the equilibrium expression:

\[ K = \frac{[\text{SO}_3][\text{NO}]}{[\text{SO}_2][\text{NO}_2]} \]

By solving this equation for the moles of \(\text{NO}_2(g)\), determine the initial concentration that satisfies the equilibrium conditions.

**Note:**
This problem requires knowledge of equilibrium calculations and algebraic manipulation to solve for the unknowns. The provided equation is a key component in determining chemical behavior under specific conditions.
Transcribed Image Text:**Chemical Equilibrium Problem** For the chemical equation: \[ \text{SO}_2(g) + \text{NO}_2(g) \rightleftharpoons \text{SO}_3(g) + \text{NO}(g) \] The equilibrium constant (K) at a certain temperature is 3.10. At this temperature, calculate the number of moles of \(\text{NO}_2(g)\) that must be added to 2.10 mol of \(\text{SO}_2(g)\) in order to form 1.00 mol of \(\text{SO}_3(g)\) at equilibrium. **Question:** Calculate the moles of \(\text{NO}_2(g)\): \[ \text{moles of NO}_2(g): \] \[ \boxed{ \text{ mol} } \] Explanation: 1. **Chemical Equation Overview:** - Reactants: \(\text{SO}_2(g)\) and \(\text{NO}_2(g)\) - Products: \(\text{SO}_3(g)\) and \(\text{NO}(g)\) 2. **Given Data:** - Equilibrium constant (\(K\)): 3.10 - Initial moles of \(\text{SO}_2(g)\): 2.10 mol - Desired moles of \(\text{SO}_3(g)\) at equilibrium: 1.00 mol 3. **Equilibrium Calculations:** - To determine the initial number of moles of \(\text{NO}_2(g)\) needed to achieve 1.00 mol of \(\text{SO}_3(g)\) at equilibrium, you would set up an ICE (Initial, Change, Equilibrium) table and use the equilibrium expression: \[ K = \frac{[\text{SO}_3][\text{NO}]}{[\text{SO}_2][\text{NO}_2]} \] By solving this equation for the moles of \(\text{NO}_2(g)\), determine the initial concentration that satisfies the equilibrium conditions. **Note:** This problem requires knowledge of equilibrium calculations and algebraic manipulation to solve for the unknowns. The provided equation is a key component in determining chemical behavior under specific conditions.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Chemical Equilibrium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY