Calculate the hydroxide ion concentration of an aqueous solution of 0.505 M acetylsalicylic acid (aspirin). (Assume that Ka (HC9H7O4) = 3.0 × 10-4.) [OH-] = M

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### Calculating Hydroxide Ion Concentration of Acetylsalicylic Acid Solution

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**Problem Statement:**

Calculate the hydroxide ion concentration (\([OH^-]\)) of an aqueous solution of 0.505 M acetylsalicylic acid (aspirin). Assume that the acid dissociation constant (\(K_a\)) for acetylsalicylic acid (\(\text{HC}_9\text{H}_7\text{O}_4\)) is \(3.0 \times 10^{-4}\).

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**Formula and Key Data:**

-  **Acid Dissociation Constant (Ka):** \( K_a (\text{HC}_9\text{H}_7\text{O}_4) = 3.0 \times 10^{-4} \)
-  **Concentration of acetylsalicylic acid solution:** 0.505 M

\[ [OH^-] = \_\_\_\_\_\_ \text{ M} \]

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**Steps to Follow:**

1. **Determine the \( [H^+] \) concentration:**

    a. Use the formula of \( K_a \) and the concentration of the acid:

    \[
    K_a = \frac{[H^+][A^-]}{[HA]}
    \]

    Here, \( [HA] \) represents the initial concentration of acetylsalicylic acid, which is 0.505 M.

2. **Calculate the \( [OH^-] \):**

    Knowing the relationship between \( [H^+] \) and \( [OH^-] \) in water:

    \[
    K_w = [H^+][OH^-] = 1.0 \times 10^{-14}
    \]

    Solve for \( [OH^-] \):

    \[
    [OH^-] = \frac{K_w}{[H^+]}
    \]

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After completing your calculations, input your value in the field provided and click "Submit Answer." If an error occurs or more practice is needed, choose "Retry Entire Group". Note: You have 8 more group attempts remaining.

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Transcribed Image Text:### Calculating Hydroxide Ion Concentration of Acetylsalicylic Acid Solution --- **Problem Statement:** Calculate the hydroxide ion concentration (\([OH^-]\)) of an aqueous solution of 0.505 M acetylsalicylic acid (aspirin). Assume that the acid dissociation constant (\(K_a\)) for acetylsalicylic acid (\(\text{HC}_9\text{H}_7\text{O}_4\)) is \(3.0 \times 10^{-4}\). --- **Formula and Key Data:** - **Acid Dissociation Constant (Ka):** \( K_a (\text{HC}_9\text{H}_7\text{O}_4) = 3.0 \times 10^{-4} \) - **Concentration of acetylsalicylic acid solution:** 0.505 M \[ [OH^-] = \_\_\_\_\_\_ \text{ M} \] --- **Steps to Follow:** 1. **Determine the \( [H^+] \) concentration:** a. Use the formula of \( K_a \) and the concentration of the acid: \[ K_a = \frac{[H^+][A^-]}{[HA]} \] Here, \( [HA] \) represents the initial concentration of acetylsalicylic acid, which is 0.505 M. 2. **Calculate the \( [OH^-] \):** Knowing the relationship between \( [H^+] \) and \( [OH^-] \) in water: \[ K_w = [H^+][OH^-] = 1.0 \times 10^{-14} \] Solve for \( [OH^-] \): \[ [OH^-] = \frac{K_w}{[H^+]} \] --- After completing your calculations, input your value in the field provided and click "Submit Answer." If an error occurs or more practice is needed, choose "Retry Entire Group". Note: You have 8 more group attempts remaining. **Buttons:** - **Submit Answer** - **Retry Entire Group** **Attempts remaining:** - **8 more group attempts remaining**
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