Part A Phosgene (carbonyl chloride), COCI₂, is an extremely toxic gas that is used in manufacturing certain dyes and plastics. Phosgene can be produced by reacting carbon monoxide and chlorine gas at high temperatures: CO(g) + Cl₂(g) = COC1₂(g) Carbon monoxide and chlorine gas are allowed to react in a sealed vessel at 452 °C. At equilibrium, the concentrations were measured and the following results obtained: What is the equilibrium constant, Kp. of this reaction? Express your answer numerically. ▸ View Available Hint(s) Kp = Submit ΨΕ ΑΣΦΑ → Previous Answers Gas CO Cl₂ | COC, BO ? Partial Pressure (atm) 0.900 1.30 0.120
Part A Phosgene (carbonyl chloride), COCI₂, is an extremely toxic gas that is used in manufacturing certain dyes and plastics. Phosgene can be produced by reacting carbon monoxide and chlorine gas at high temperatures: CO(g) + Cl₂(g) = COC1₂(g) Carbon monoxide and chlorine gas are allowed to react in a sealed vessel at 452 °C. At equilibrium, the concentrations were measured and the following results obtained: What is the equilibrium constant, Kp. of this reaction? Express your answer numerically. ▸ View Available Hint(s) Kp = Submit ΨΕ ΑΣΦΑ → Previous Answers Gas CO Cl₂ | COC, BO ? Partial Pressure (atm) 0.900 1.30 0.120
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...
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Question
![**Calculating Equilibrium Constants**
The equilibrium constant, \( K \), of a reaction at a particular temperature is determined by the concentrations or pressures of the reactants and products at equilibrium.
For a gaseous reaction with the general form:
\[ aA + bB \rightleftharpoons cC + dD \]
the \( K_c \) and \( K_p \) expressions are given by:
\[ K_c = \frac{{[C]^c[D]^d}}{{[A]^a[B]^b}} \]
\[ K_p = \frac{{(P_C)^c(P_D)^d}}{{(P_A)^a(P_B)^b}} \]
The subscript c or p indicates whether \( K \) is expressed in terms of concentrations or pressures. Equilibrium-constant expressions do not include a term for any pure solids or liquids that may be involved since their composition does not change throughout the reaction. The standard state of a pure substance is the pure substance itself, and although the quantity may change, the sample remains pure. The constant value is incorporated into the value of \( K \), and does not need to be accounted for separately.
---
### Part A
Phosgene (carbonyl chloride), \( \text{COCl}_2 \), is an extremely toxic gas used in manufacturing certain dyes and plastics. Phosgene can be produced by reacting carbon monoxide and chlorine gas at high temperatures:
\[ \text{CO}(g) + \text{Cl}_2(g) \rightleftharpoons \text{COCl}_2(g) \]
Carbon monoxide and chlorine gas are allowed to react in a sealed vessel at \( 452 \, ^\circ \text{C} \). At equilibrium, the concentrations were measured and the following results obtained:
| Gas | Partial Pressure (atm) |
|-------|------------------------|
| CO | 0.900 |
| \( \text{Cl}_2 \) | 1.30 |
| \( \text{COCl}_2 \) | 0.120 |
What is the equilibrium constant, \( K_p \), of this reaction?
Express your answer numerically.
[View Available Hint(s)]
\( K_p = \)
---
(There is also an interactive input box to enter the \( K_p \) value, accompanied by options to format the text and a submit button.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06ef5119-c7b9-4136-ae1c-12b1af17aba5%2F9a4c22e8-127f-4da6-994a-a0a299387dbb%2Frhoqh1e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculating Equilibrium Constants**
The equilibrium constant, \( K \), of a reaction at a particular temperature is determined by the concentrations or pressures of the reactants and products at equilibrium.
For a gaseous reaction with the general form:
\[ aA + bB \rightleftharpoons cC + dD \]
the \( K_c \) and \( K_p \) expressions are given by:
\[ K_c = \frac{{[C]^c[D]^d}}{{[A]^a[B]^b}} \]
\[ K_p = \frac{{(P_C)^c(P_D)^d}}{{(P_A)^a(P_B)^b}} \]
The subscript c or p indicates whether \( K \) is expressed in terms of concentrations or pressures. Equilibrium-constant expressions do not include a term for any pure solids or liquids that may be involved since their composition does not change throughout the reaction. The standard state of a pure substance is the pure substance itself, and although the quantity may change, the sample remains pure. The constant value is incorporated into the value of \( K \), and does not need to be accounted for separately.
---
### Part A
Phosgene (carbonyl chloride), \( \text{COCl}_2 \), is an extremely toxic gas used in manufacturing certain dyes and plastics. Phosgene can be produced by reacting carbon monoxide and chlorine gas at high temperatures:
\[ \text{CO}(g) + \text{Cl}_2(g) \rightleftharpoons \text{COCl}_2(g) \]
Carbon monoxide and chlorine gas are allowed to react in a sealed vessel at \( 452 \, ^\circ \text{C} \). At equilibrium, the concentrations were measured and the following results obtained:
| Gas | Partial Pressure (atm) |
|-------|------------------------|
| CO | 0.900 |
| \( \text{Cl}_2 \) | 1.30 |
| \( \text{COCl}_2 \) | 0.120 |
What is the equilibrium constant, \( K_p \), of this reaction?
Express your answer numerically.
[View Available Hint(s)]
\( K_p = \)
---
(There is also an interactive input box to enter the \( K_p \) value, accompanied by options to format the text and a submit button.)
![**Understanding Equilibrium Constants**
The equilibrium constant, \( K \), of a reaction at a particular temperature is determined by the concentrations or pressures of the reactants and products at equilibrium.
**For a gaseous reaction with the general form:**
\[ aA + bB \rightleftharpoons cC + dD \]
**The expressions for \( K_c \) and \( K_p \) are:**
\[ K_c = \frac{[C]^c[D]^d}{[A]^a[B]^b} \]
\[ K_p = \frac{(P_C)^c(P_D)^d}{(P_A)^a(P_B)^b} \]
Here, the subscript \( c \) or \( p \) indicates whether \( K \) is expressed in terms of concentrations or pressures. Equilibrium-constant expressions do not include terms for pure solids or liquids, as their composition does not change throughout the reaction. The standard state of a pure substance is itself, although the quantity may change. The constant value is incorporated into \( K \) and does not need separate accounting.
---
**Deriving Concentrations from Data**
In Part A, equilibrium pressures were provided and could be used directly in the formula for \( K \). However, in Part B, you will be given initial concentrations and only one equilibrium concentration. Use this data to find all three equilibrium concentrations before applying the formula for \( K \).
**Part B**
A reaction was conducted in a sealed vessel at 740°C:
\[ \text{H}_2(g) + \text{I}_2(g) \rightleftharpoons 2\text{HI}(g) \]
* Initial concentrations: \([H_2] = 3.00 \, M\) and \([I_2] = 2.15 \, M\)
* Equilibrium concentration of \([I_2]\) is 0.0700 \( M \).
**Task**
Calculate the equilibrium constant, \( K_c \), for the reaction at this temperature. Provide your answer numerically.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06ef5119-c7b9-4136-ae1c-12b1af17aba5%2F9a4c22e8-127f-4da6-994a-a0a299387dbb%2Fyugogw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Equilibrium Constants**
The equilibrium constant, \( K \), of a reaction at a particular temperature is determined by the concentrations or pressures of the reactants and products at equilibrium.
**For a gaseous reaction with the general form:**
\[ aA + bB \rightleftharpoons cC + dD \]
**The expressions for \( K_c \) and \( K_p \) are:**
\[ K_c = \frac{[C]^c[D]^d}{[A]^a[B]^b} \]
\[ K_p = \frac{(P_C)^c(P_D)^d}{(P_A)^a(P_B)^b} \]
Here, the subscript \( c \) or \( p \) indicates whether \( K \) is expressed in terms of concentrations or pressures. Equilibrium-constant expressions do not include terms for pure solids or liquids, as their composition does not change throughout the reaction. The standard state of a pure substance is itself, although the quantity may change. The constant value is incorporated into \( K \) and does not need separate accounting.
---
**Deriving Concentrations from Data**
In Part A, equilibrium pressures were provided and could be used directly in the formula for \( K \). However, in Part B, you will be given initial concentrations and only one equilibrium concentration. Use this data to find all three equilibrium concentrations before applying the formula for \( K \).
**Part B**
A reaction was conducted in a sealed vessel at 740°C:
\[ \text{H}_2(g) + \text{I}_2(g) \rightleftharpoons 2\text{HI}(g) \]
* Initial concentrations: \([H_2] = 3.00 \, M\) and \([I_2] = 2.15 \, M\)
* Equilibrium concentration of \([I_2]\) is 0.0700 \( M \).
**Task**
Calculate the equilibrium constant, \( K_c \), for the reaction at this temperature. Provide your answer numerically.
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