The value of K, for acetylsalicylic acid (aspirin) is 3.00×10-4. What is the value of K, for its conjugate base, C,H₂O4?

Chemistry
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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
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**Transcription: Educational Website Content**

The value of \( K_a \) for acetylsalicylic acid (aspirin) is \( 3.00 \times 10^{-4} \).

What is the value of \( K_b \) for its conjugate base, \( \text{C}_9\text{H}_7\text{O}_4^- \)?

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**Explanation:**

This text addresses the relationship between the acid dissociation constant (\( K_a \)) of acetylsalicylic acid and the base dissociation constant (\( K_b \)) of its conjugate base. The relationship between \( K_a \) and \( K_b \) for a conjugate acid-base pair can be expressed through the ion product constant for water (\( K_w \)), which at 25°C is \( 1.00 \times 10^{-14} \). The equation is:

\[ K_a \times K_b = K_w \]

Given \( K_a \) of acetylsalicylic acid (\( \text{aspirin} \)) is \( 3.00 \times 10^{-4} \), the calculation for \( K_b \) would be required using the above relationship.
Transcribed Image Text:**Transcription: Educational Website Content** The value of \( K_a \) for acetylsalicylic acid (aspirin) is \( 3.00 \times 10^{-4} \). What is the value of \( K_b \) for its conjugate base, \( \text{C}_9\text{H}_7\text{O}_4^- \)? --- **Explanation:** This text addresses the relationship between the acid dissociation constant (\( K_a \)) of acetylsalicylic acid and the base dissociation constant (\( K_b \)) of its conjugate base. The relationship between \( K_a \) and \( K_b \) for a conjugate acid-base pair can be expressed through the ion product constant for water (\( K_w \)), which at 25°C is \( 1.00 \times 10^{-14} \). The equation is: \[ K_a \times K_b = K_w \] Given \( K_a \) of acetylsalicylic acid (\( \text{aspirin} \)) is \( 3.00 \times 10^{-4} \), the calculation for \( K_b \) would be required using the above relationship.
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