At high temperatures, elemental nitrogen and oxygen react with each other to form nitrogen monoxide: N₂(g) + O2(g) → 2NO(g) Suppose the system is analyzed at a particular temperature, and the equilibrium concentrations are found to be [N₂] = 0.050 M, [O₂] = 0.077 M, and [NO] = 6.3 × 10-4 M. Calculate the value of K for the reaction. K =
At high temperatures, elemental nitrogen and oxygen react with each other to form nitrogen monoxide: N₂(g) + O2(g) → 2NO(g) Suppose the system is analyzed at a particular temperature, and the equilibrium concentrations are found to be [N₂] = 0.050 M, [O₂] = 0.077 M, and [NO] = 6.3 × 10-4 M. Calculate the value of K for the reaction. 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...
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![At high temperatures, elemental nitrogen and oxygen react with each other to form nitrogen monoxide:
\[ \text{N}_2(g) + \text{O}_2(g) \rightleftharpoons 2\text{NO}(g) \]
Suppose the system is analyzed at a particular temperature, and the equilibrium concentrations are found to be \([\text{N}_2] = 0.050 \, M\), \([\text{O}_2] = 0.077 \, M\), and \([\text{NO}] = 6.3 \times 10^{-4} \, M\). Calculate the value of \(K\) for the reaction.
\[ K = \] _______________](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40a586b1-938e-4a26-80e1-e89ed320fb57%2F60d0b888-b019-4ad8-a017-6e08101e4ad4%2F7q5ze4k_processed.png&w=3840&q=75)
Transcribed Image Text:At high temperatures, elemental nitrogen and oxygen react with each other to form nitrogen monoxide:
\[ \text{N}_2(g) + \text{O}_2(g) \rightleftharpoons 2\text{NO}(g) \]
Suppose the system is analyzed at a particular temperature, and the equilibrium concentrations are found to be \([\text{N}_2] = 0.050 \, M\), \([\text{O}_2] = 0.077 \, M\), and \([\text{NO}] = 6.3 \times 10^{-4} \, M\). Calculate the value of \(K\) for the reaction.
\[ K = \] _______________
![**Equilibrium and Reaction Kinetics**
At a temperature of 1100 K, the equilibrium constant for pressure (\(K_p\)) is given as 0.30 for the chemical reaction:
\[ 2\text{SO}_2\,(g) + \text{O}_2\,(g) \rightleftharpoons 2\text{SO}_3\,(g) \]
**Objective:**
Determine the value of the equilibrium constant in terms of concentration (\(K\)) for the given reaction at this temperature.
**Calculation:**
Utilize the relationship between \(K_p\) and \(K_c\) (where \(K\) can represent \(K_c\) when pressure is related to concentration) which is adjusted considering the ideal gas law and the change in moles:
\[ K_p = K_c(RT)^{\Delta n} \]
Where:
- \(R\) is the ideal gas constant
- \(T\) is the temperature in Kelvin
- \(\Delta n\) is the change in moles of gas
\[ \Delta n = (\text{moles of gaseous products}) - (\text{moles of gaseous reactants}) \]
In this reaction:
\[ \Delta n = 2 - (2 + 1) = -1 \]
Thus, substitute values to solve for \(K\):
\[ K = \frac{K_p}{(RT)^{\Delta n}} \]
Provide the numerical value calculation for \(K\) based on standard values for the ideal gas constant and solve accordingly.
\( K = \boxed{\text{(Value goes here after calculation)}} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40a586b1-938e-4a26-80e1-e89ed320fb57%2F60d0b888-b019-4ad8-a017-6e08101e4ad4%2Fzos6wl5_processed.png&w=3840&q=75)
Transcribed Image Text:**Equilibrium and Reaction Kinetics**
At a temperature of 1100 K, the equilibrium constant for pressure (\(K_p\)) is given as 0.30 for the chemical reaction:
\[ 2\text{SO}_2\,(g) + \text{O}_2\,(g) \rightleftharpoons 2\text{SO}_3\,(g) \]
**Objective:**
Determine the value of the equilibrium constant in terms of concentration (\(K\)) for the given reaction at this temperature.
**Calculation:**
Utilize the relationship between \(K_p\) and \(K_c\) (where \(K\) can represent \(K_c\) when pressure is related to concentration) which is adjusted considering the ideal gas law and the change in moles:
\[ K_p = K_c(RT)^{\Delta n} \]
Where:
- \(R\) is the ideal gas constant
- \(T\) is the temperature in Kelvin
- \(\Delta n\) is the change in moles of gas
\[ \Delta n = (\text{moles of gaseous products}) - (\text{moles of gaseous reactants}) \]
In this reaction:
\[ \Delta n = 2 - (2 + 1) = -1 \]
Thus, substitute values to solve for \(K\):
\[ K = \frac{K_p}{(RT)^{\Delta n}} \]
Provide the numerical value calculation for \(K\) based on standard values for the ideal gas constant and solve accordingly.
\( K = \boxed{\text{(Value goes here after calculation)}} \)
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