The equilibrium constant, K. for the following reaction is 6.30 at 723 K. Calculate K, for this reaction at this temperature. 2NH3(g) N2(g)+ 3H2(g)

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
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**Problem Statement:**

The equilibrium constant, \( K_c \), for the following reaction is 6.30 at 723 K. Calculate \( K_p \) for this reaction at this temperature.

**Reaction:**
\[ 2 \text{NH}_3(g) \rightleftharpoons \text{N}_2(g) + 3 \text{H}_2(g) \]

**Instructions:**

1. Use the given equilibrium constant, \( K_c \), to calculate the equilibrium constant for pressure, \( K_p \).
2. Remember to apply the relationship between \( K_c \) and \( K_p \):
   \[
   K_p = K_c(RT)^{\Delta n}
   \]
   where \( R \) is the universal gas constant, \( T \) is the temperature in Kelvin, and \( \Delta n \) is the change in moles of gas (moles of products - moles of reactants).

**Interaction Elements:**

- **Submit Answer**: Button to submit your calculation.
- **Retry Entire Group**: Option to retry the process if needed.

**Additional Notes:**

- Ensure all calculations adhere to correct scientific principles.
- Use references if necessary to access any required constants or conversion factors.
- You have 9 more group attempts remaining to solve this problem.

**Graph/Diagram Explanation:**

There are no graphs or diagrams included in the image.
Transcribed Image Text:**Problem Statement:** The equilibrium constant, \( K_c \), for the following reaction is 6.30 at 723 K. Calculate \( K_p \) for this reaction at this temperature. **Reaction:** \[ 2 \text{NH}_3(g) \rightleftharpoons \text{N}_2(g) + 3 \text{H}_2(g) \] **Instructions:** 1. Use the given equilibrium constant, \( K_c \), to calculate the equilibrium constant for pressure, \( K_p \). 2. Remember to apply the relationship between \( K_c \) and \( K_p \): \[ K_p = K_c(RT)^{\Delta n} \] where \( R \) is the universal gas constant, \( T \) is the temperature in Kelvin, and \( \Delta n \) is the change in moles of gas (moles of products - moles of reactants). **Interaction Elements:** - **Submit Answer**: Button to submit your calculation. - **Retry Entire Group**: Option to retry the process if needed. **Additional Notes:** - Ensure all calculations adhere to correct scientific principles. - Use references if necessary to access any required constants or conversion factors. - You have 9 more group attempts remaining to solve this problem. **Graph/Diagram Explanation:** There are no graphs or diagrams included in the image.
**Title: Calculating Equilibrium Constants for Chemical Reactions**

**Introduction:**

In chemical thermodynamics, understanding the equilibrium constant is essential for predicting the concentrations of reactants and products in a chemical reaction at equilibrium. This topic explores the relationship between the equilibrium constants \( K_p \) and \( K_c \) and guides you through a calculation using the reaction of ammonium chloride.

**Problem Statement:**

The equilibrium constant, \( K_p \), for the given reaction is \( 1.04 \times 10^{-2} \) at \( 548 \, \text{K} \). You are required to calculate \( K_c \) for this reaction at the same temperature.

**Reaction:**

\[
\text{NH}_4\text{Cl(s)} \rightleftharpoons \text{NH}_3\text{(g)} + \text{HCl(g)}
\]

**Calculation:**

For the conversion between \( K_p \) and \( K_c \), use the formula:

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

where:
- \( \Delta n \) is the change in moles of gas (products - reactants).
- \( R \) is the ideal gas constant (\(0.0821 \, \text{L atm/mol K}\)).
- \( T \) is the temperature in Kelvin.

**Input Field:**

- \( K_c \) (Enter your calculated value here.)

**Submission:**

- Use the "Submit Answer" button to check your result.
- Use the "Retry Entire Group" if you need to attempt the calculation again.

**Note:**

Remember that \( \Delta n \) for the reaction is calculated from the gas moles. Here, \( \Delta n = 2 - 0 = 2 \).

Good luck with your calculation! Feel free to use the "References" link for any important values you might need.
Transcribed Image Text:**Title: Calculating Equilibrium Constants for Chemical Reactions** **Introduction:** In chemical thermodynamics, understanding the equilibrium constant is essential for predicting the concentrations of reactants and products in a chemical reaction at equilibrium. This topic explores the relationship between the equilibrium constants \( K_p \) and \( K_c \) and guides you through a calculation using the reaction of ammonium chloride. **Problem Statement:** The equilibrium constant, \( K_p \), for the given reaction is \( 1.04 \times 10^{-2} \) at \( 548 \, \text{K} \). You are required to calculate \( K_c \) for this reaction at the same temperature. **Reaction:** \[ \text{NH}_4\text{Cl(s)} \rightleftharpoons \text{NH}_3\text{(g)} + \text{HCl(g)} \] **Calculation:** For the conversion between \( K_p \) and \( K_c \), use the formula: \[ K_p = K_c(RT)^{\Delta n} \] where: - \( \Delta n \) is the change in moles of gas (products - reactants). - \( R \) is the ideal gas constant (\(0.0821 \, \text{L atm/mol K}\)). - \( T \) is the temperature in Kelvin. **Input Field:** - \( K_c \) (Enter your calculated value here.) **Submission:** - Use the "Submit Answer" button to check your result. - Use the "Retry Entire Group" if you need to attempt the calculation again. **Note:** Remember that \( \Delta n \) for the reaction is calculated from the gas moles. Here, \( \Delta n = 2 - 0 = 2 \). Good luck with your calculation! Feel free to use the "References" link for any important values you might need.
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