Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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### Chemical Equilibrium Expressions

#### Problem Statement:
1. Write the equilibrium expression for each of the following reactions:

#### Reactions:
##### a)
\[ 4 \text{NO}_{(g)} + 2 \text{O}_2{(g)} \rightleftharpoons 2 \text{N}_2\text{O}_4{(g)} \]

##### c)
\[ \text{CO}_{(g)} + 2 \text{H}_2{(g)} \rightleftharpoons \text{CH}_3\text{OH}{(g)} \]

### Solution:
#### a) 
For the reaction:
\[ 4 \text{NO}_{(g)} + 2 \text{O}_2{(g)} \rightleftharpoons 2 \text{N}_2\text{O}_4{(g)} \]

The equilibrium expression \( K_c \) is:
\[ K_c = \frac{[\text{N}_2\text{O}_4]^2}{[\text{NO}]^4 [\text{O}_2]^2} \]

#### c)
For the reaction:
\[ \text{CO}_{(g)} + 2 \text{H}_2{(g)} \rightleftharpoons \text{CH}_3\text{OH}{(g)} \]

The equilibrium expression \( K_c \) is:
\[ K_c = \frac{[\text{CH}_3\text{OH}]}{[\text{CO}] [\text{H}_2]^2} \]

#### Explanation:
The equilibrium constant expression \( K_c \) is derived from the balanced chemical equation. It is the ratio of the concentrations of the products to the concentrations of the reactants, each raised to the power of their respective stoichiometric coefficients.

### Study Notes:
* Ensure the reaction is balanced before writing the equilibrium expression.
* Concentrations are denoted by square brackets, e.g., \([A]\).
* The exponents in the expression correspond to the coefficients in the balanced equation.

This content provides the foundational knowledge needed to understand and write equilibrium expressions for various chemical reactions.
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Transcribed Image Text:### Chemical Equilibrium Expressions #### Problem Statement: 1. Write the equilibrium expression for each of the following reactions: #### Reactions: ##### a) \[ 4 \text{NO}_{(g)} + 2 \text{O}_2{(g)} \rightleftharpoons 2 \text{N}_2\text{O}_4{(g)} \] ##### c) \[ \text{CO}_{(g)} + 2 \text{H}_2{(g)} \rightleftharpoons \text{CH}_3\text{OH}{(g)} \] ### Solution: #### a) For the reaction: \[ 4 \text{NO}_{(g)} + 2 \text{O}_2{(g)} \rightleftharpoons 2 \text{N}_2\text{O}_4{(g)} \] The equilibrium expression \( K_c \) is: \[ K_c = \frac{[\text{N}_2\text{O}_4]^2}{[\text{NO}]^4 [\text{O}_2]^2} \] #### c) For the reaction: \[ \text{CO}_{(g)} + 2 \text{H}_2{(g)} \rightleftharpoons \text{CH}_3\text{OH}{(g)} \] The equilibrium expression \( K_c \) is: \[ K_c = \frac{[\text{CH}_3\text{OH}]}{[\text{CO}] [\text{H}_2]^2} \] #### Explanation: The equilibrium constant expression \( K_c \) is derived from the balanced chemical equation. It is the ratio of the concentrations of the products to the concentrations of the reactants, each raised to the power of their respective stoichiometric coefficients. ### Study Notes: * Ensure the reaction is balanced before writing the equilibrium expression. * Concentrations are denoted by square brackets, e.g., \([A]\). * The exponents in the expression correspond to the coefficients in the balanced equation. This content provides the foundational knowledge needed to understand and write equilibrium expressions for various chemical reactions.
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