1. HF (aq) → H+ (aq) + F- (aq) K = 6.8 x 10-4 II. H₂C₂O4 (aq) = 2H+ (aq) + C₂0²- K = 3.8 x 10-6 What is the K value for the reaction below?

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### Chemical Equilibrium Constants

Understanding the equilibrium constants (K) for chemical reactions is crucial for predicting the direction of reactions and the concentrations of reactants and products at equilibrium. Below are two example reactions with given equilibrium constants.

1. **Reaction I:**
   - **Equation:** \( \text{HF(aq)} \rightleftharpoons \text{H}^+(\text{aq}) + \text{F}^-(\text{aq}) \)
   - **Equilibrium Constant (K):** \( 6.8 \times 10^{-4} \)

2. **Reaction II:**
   - **Equation:** \( \text{H}_2\text{C}_2\text{O}_4(\text{aq}) \rightleftharpoons 2\text{H}^+(\text{aq}) + \text{C}_2\text{O}_4^{2-} \)
   - **Equilibrium Constant (K):** \( 3.8 \times 10^{-6} \)

### Combined Reaction

The problem involves finding the equilibrium constant (K) for the combined reaction:

\[
2\text{HF(aq)} + \text{C}_2\text{O}_4^{2-}\text{(aq)} \rightleftharpoons 2\text{F}^-(\text{aq)} + \text{H}_2\text{C}_2\text{O}_4(\text{aq)}
\]

To determine the K value for this new reaction, we use the given equilibrium constants. For reactions that involve summing two or more elementary reactions, the equilibrium constant of the overall reaction is the product of the equilibrium constants of the individual steps.

#### Solution Method:
- Multiply the given K values for the elementary reactions.

### Calculation:

Let's denote:
- \(K_1 = 6.8 \times 10^{-4}\)
- \(K_2 = 3.8 \times 10^{-6}\)

Then:
\[
K = K_1 \times K_2 = (6.8 \times 10^{-4}) \times (3.8 \times 10^{-6})
\]

### Final K Value
To simplify the expression, perform the arithmetic operations:

- Multiply the coefficients: \( 6.8 \times 3.8 = 25.84
Transcribed Image Text:### Chemical Equilibrium Constants Understanding the equilibrium constants (K) for chemical reactions is crucial for predicting the direction of reactions and the concentrations of reactants and products at equilibrium. Below are two example reactions with given equilibrium constants. 1. **Reaction I:** - **Equation:** \( \text{HF(aq)} \rightleftharpoons \text{H}^+(\text{aq}) + \text{F}^-(\text{aq}) \) - **Equilibrium Constant (K):** \( 6.8 \times 10^{-4} \) 2. **Reaction II:** - **Equation:** \( \text{H}_2\text{C}_2\text{O}_4(\text{aq}) \rightleftharpoons 2\text{H}^+(\text{aq}) + \text{C}_2\text{O}_4^{2-} \) - **Equilibrium Constant (K):** \( 3.8 \times 10^{-6} \) ### Combined Reaction The problem involves finding the equilibrium constant (K) for the combined reaction: \[ 2\text{HF(aq)} + \text{C}_2\text{O}_4^{2-}\text{(aq)} \rightleftharpoons 2\text{F}^-(\text{aq)} + \text{H}_2\text{C}_2\text{O}_4(\text{aq)} \] To determine the K value for this new reaction, we use the given equilibrium constants. For reactions that involve summing two or more elementary reactions, the equilibrium constant of the overall reaction is the product of the equilibrium constants of the individual steps. #### Solution Method: - Multiply the given K values for the elementary reactions. ### Calculation: Let's denote: - \(K_1 = 6.8 \times 10^{-4}\) - \(K_2 = 3.8 \times 10^{-6}\) Then: \[ K = K_1 \times K_2 = (6.8 \times 10^{-4}) \times (3.8 \times 10^{-6}) \] ### Final K Value To simplify the expression, perform the arithmetic operations: - Multiply the coefficients: \( 6.8 \times 3.8 = 25.84
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