2HOCI(g) # H,0(g) + Cl,0(g) the value ofK at 25°C is II. Calculate the value of K, for this reaction at 25°C.

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 reaction:

\[ \text{2HOCl(g) } \leftrightarrow \text{ H}_2\text{O(g) } + \text{ Cl}_2\text{O(g) } \]

Given that the value of the equilibrium constant (\(K\)) at 25°C is 11, calculate the value of the equilibrium constant in terms of partial pressure (\(K_p\)) for this reaction at 25°C.

\[K_p = \]

#### Explanation:

1. **Chemical Equation:** The reaction shows the decomposition of hypochlorous acid (\(HOCl\)) gas into water (\(H_2O\)) and dichlorine monoxide (\(Cl_2O\)) gases.
2. **Equilibrium Constant (K):** At 25°C, the equilibrium constant (\(K\)) is provided as 11. This value is dimensionless and represents the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants at equilibrium.
3. **Calculate \(K_p\):** To find \(K_p\), the equilibrium constant in terms of partial pressures, you'll need to use the relationship between \(K\) and \(K_p\):

\[ K_p = K(RT)^{\Delta n} \]

Where:
- \( R \) is the universal gas constant (0.0821 L·atm/mol·K)
- \( T \) is the temperature in Kelvin
- \( \Delta n \) is the change in the number of moles of gas (moles of gaseous products - moles of gaseous reactants).

In this reaction:
\[ \Delta n = (1 + 1) - 2 = 0 \]

Therefore:
\[ K_p = K \times (RT)^{0} \]
\[ K_p = K \]

Since \( \Delta n = 0 \), the \( K_p \) will be the same as \( K \).

\[ K_p = 11 \]

Please fill in the value in the box provided accordingly.
Transcribed Image Text:### Chemical Equilibrium Problem #### For the reaction: \[ \text{2HOCl(g) } \leftrightarrow \text{ H}_2\text{O(g) } + \text{ Cl}_2\text{O(g) } \] Given that the value of the equilibrium constant (\(K\)) at 25°C is 11, calculate the value of the equilibrium constant in terms of partial pressure (\(K_p\)) for this reaction at 25°C. \[K_p = \] #### Explanation: 1. **Chemical Equation:** The reaction shows the decomposition of hypochlorous acid (\(HOCl\)) gas into water (\(H_2O\)) and dichlorine monoxide (\(Cl_2O\)) gases. 2. **Equilibrium Constant (K):** At 25°C, the equilibrium constant (\(K\)) is provided as 11. This value is dimensionless and represents the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants at equilibrium. 3. **Calculate \(K_p\):** To find \(K_p\), the equilibrium constant in terms of partial pressures, you'll need to use the relationship between \(K\) and \(K_p\): \[ K_p = K(RT)^{\Delta n} \] Where: - \( R \) is the universal gas constant (0.0821 L·atm/mol·K) - \( T \) is the temperature in Kelvin - \( \Delta n \) is the change in the number of moles of gas (moles of gaseous products - moles of gaseous reactants). In this reaction: \[ \Delta n = (1 + 1) - 2 = 0 \] Therefore: \[ K_p = K \times (RT)^{0} \] \[ K_p = K \] Since \( \Delta n = 0 \), the \( K_p \) will be the same as \( K \). \[ K_p = 11 \] Please fill in the value in the box provided accordingly.
Expert Solution
trending now

Trending now

This is a popular 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