A buffer solution is prepared in such a way that the concentration of propanoic acid is 1.8 x 10M and the concentration of sodium propanoate is 1.9 x 10° M. The buffer equilibrium is described by C2H;COOH(aq) + H,O(1) = H30*(aq) + C,H;COO¯(aq) propanoic acid propanoate ion with K,= 1.34 x 10. If the concentration of the sodium propanoate were doubled while the acid concentration remained the same, calculate the pH of the resulting solution. pH =

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**Determining pH of a Buffer Solution**

*A buffer solution is designed to maintain a stable pH. In this exercise, we explore a buffer solution consisting of propanoic acid and sodium propanoate.*

### Problem Statement
A buffer solution is prepared where the concentration of propanoic acid (\(C_2H_5COOH\)) is \(1.8 \times 10^{-1} \, M\) and the concentration of sodium propanoate (\(C_2H_5COONa\)) is \(1.9 \times 10^{0} \, M\). The equilibrium for this system can be represented by the following chemical equation:

\[ C_2H_5COOH_{(aq)} + H_2O_{(l)} \rightleftharpoons H_3O^+_{(aq)} + C_2H_5COO^-_{(aq)} \]

Here, propanoic acid is the weak acid and propanoate ion acts as its conjugate base.

### Equilibrium Constant
The dissociation constant for this equilibrium (\(K_a\)) is given as \(1.34 \times 10^{-5}\).

### Experiment
If the concentration of the sodium propanoate is doubled while keeping the acid concentration constant, calculate the pH of the resulting solution.

### Calculation
Use the Henderson-Hasselbalch equation to find the pH of the buffer solution:

\[ \text{pH} = \text{pK}_a + \log \left( \frac{[\text{C}_2\text{H}_5\text{COO}^-]}{[\text{C}_2\text{H}_5\text{COOH}]} \right) \]

**Note:** The value of \(\text{pK}_a\) can be calculated using the formula:

\[ \text{pK}_a = -\log(K_a) \]

Calculate the new concentration of the propanoate ion and substitute the values into the equation to find the pH.

**Enter your answer in the provided box:**

\[ \text{pH} = \boxed{} \]
Transcribed Image Text:**Determining pH of a Buffer Solution** *A buffer solution is designed to maintain a stable pH. In this exercise, we explore a buffer solution consisting of propanoic acid and sodium propanoate.* ### Problem Statement A buffer solution is prepared where the concentration of propanoic acid (\(C_2H_5COOH\)) is \(1.8 \times 10^{-1} \, M\) and the concentration of sodium propanoate (\(C_2H_5COONa\)) is \(1.9 \times 10^{0} \, M\). The equilibrium for this system can be represented by the following chemical equation: \[ C_2H_5COOH_{(aq)} + H_2O_{(l)} \rightleftharpoons H_3O^+_{(aq)} + C_2H_5COO^-_{(aq)} \] Here, propanoic acid is the weak acid and propanoate ion acts as its conjugate base. ### Equilibrium Constant The dissociation constant for this equilibrium (\(K_a\)) is given as \(1.34 \times 10^{-5}\). ### Experiment If the concentration of the sodium propanoate is doubled while keeping the acid concentration constant, calculate the pH of the resulting solution. ### Calculation Use the Henderson-Hasselbalch equation to find the pH of the buffer solution: \[ \text{pH} = \text{pK}_a + \log \left( \frac{[\text{C}_2\text{H}_5\text{COO}^-]}{[\text{C}_2\text{H}_5\text{COOH}]} \right) \] **Note:** The value of \(\text{pK}_a\) can be calculated using the formula: \[ \text{pK}_a = -\log(K_a) \] Calculate the new concentration of the propanoate ion and substitute the values into the equation to find the pH. **Enter your answer in the provided box:** \[ \text{pH} = \boxed{} \]
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