Calculate the equilibrium constant for the chemical reaction, given the Substance Equilibrium concentration equilibrium concentrations of the reactants and products in the table. AB 4.99 M CD 2.54 M 2 AB(aq) + 4 CD(aq) = 2 AD(aq) + 2 BD(aq) + 4 C(aq) AD 4.02 M BD 2.28 M 1.27 M K =

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
### Calculating the Equilibrium Constant

#### Problem Statement:
Calculate the equilibrium constant for the chemical reaction, given the equilibrium concentrations of the reactants and products in the table.

The reaction is:
\[ 2 \text{AB(aq)} + 4 \text{CD(aq)} \rightleftharpoons 2 \text{AD(aq)} + 2 \text{BD(aq)} + 4 \text{C(aq)} \]

#### Equilibrium Concentrations:

| Substance | Equilibrium concentration |
|-----------|-----------------------------|
| AB        | 4.99 M                      |
| CD        | 2.54 M                      |
| AD        | 4.02 M                      |
| BD        | 2.28 M                      |
| C         | 1.27 M                      |

#### Formula for Equilibrium Constant, \( K \):

For the reaction \( aA + bB \rightleftharpoons cC + dD \), the equilibrium constant \( K \) is given by:

\[ K = \frac{[\text{C}]^c [\text{D}]^d}{[\text{A}]^a [\text{B}]^b} \]

#### Applying the Equilibrium Concentrations:

For the given reaction:
\[ 2 \text{AB(aq)} + 4 \text{CD(aq)} \rightleftharpoons 2 \text{AD(aq)} + 2 \text{BD(aq)} + 4 \text{C(aq)} \]

The equilibrium constant \( K \) is:

\[ K = \frac{[\text{AD}]^2 [\text{BD}]^2 [\text{C}]^4}{[\text{AB}]^2 [\text{CD}]^4} \]

Substitute the given equilibrium concentrations:

\[ K = \frac{(4.02)^2 (2.28)^2 (1.27)^4}{(4.99)^2 (2.54)^4} \]

Calculate \( K \):
\[ K = \frac{(16.1604) (5.1984) (2.6013)}{(24.9001) (41.6061)} \]

\[ K = \frac{(16.1604 \times 5.1984 \times 2.6013)}{(
Transcribed Image Text:### Calculating the Equilibrium Constant #### Problem Statement: Calculate the equilibrium constant for the chemical reaction, given the equilibrium concentrations of the reactants and products in the table. The reaction is: \[ 2 \text{AB(aq)} + 4 \text{CD(aq)} \rightleftharpoons 2 \text{AD(aq)} + 2 \text{BD(aq)} + 4 \text{C(aq)} \] #### Equilibrium Concentrations: | Substance | Equilibrium concentration | |-----------|-----------------------------| | AB | 4.99 M | | CD | 2.54 M | | AD | 4.02 M | | BD | 2.28 M | | C | 1.27 M | #### Formula for Equilibrium Constant, \( K \): For the reaction \( aA + bB \rightleftharpoons cC + dD \), the equilibrium constant \( K \) is given by: \[ K = \frac{[\text{C}]^c [\text{D}]^d}{[\text{A}]^a [\text{B}]^b} \] #### Applying the Equilibrium Concentrations: For the given reaction: \[ 2 \text{AB(aq)} + 4 \text{CD(aq)} \rightleftharpoons 2 \text{AD(aq)} + 2 \text{BD(aq)} + 4 \text{C(aq)} \] The equilibrium constant \( K \) is: \[ K = \frac{[\text{AD}]^2 [\text{BD}]^2 [\text{C}]^4}{[\text{AB}]^2 [\text{CD}]^4} \] Substitute the given equilibrium concentrations: \[ K = \frac{(4.02)^2 (2.28)^2 (1.27)^4}{(4.99)^2 (2.54)^4} \] Calculate \( K \): \[ K = \frac{(16.1604) (5.1984) (2.6013)}{(24.9001) (41.6061)} \] \[ K = \frac{(16.1604 \times 5.1984 \times 2.6013)}{(
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 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