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 =

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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.

\[ K = \] _______________
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.

\( K = \boxed{\text{(Value goes here after calculation)}} \)
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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