Chemistry
10th Edition
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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Question**: What is the pH of a 0.15 M NH₄Cl (aq) solution given ammonia has a K_b of \( 1.8 \times 10^{-5} \)?
**Explanation**: This problem requires the use of equilibrium calculations to find the pH of an ammonium chloride solution. Since \( \text{NH}_4^+ \) acts as a weak acid, it will donate a proton to water to form \( \text{H}^+ \) and \( \text{NH}_3 \). The given K_b value for ammonia can be used to find the K_a value for \( \text{NH}_4^+ \) by using the relationship \( K_a \times K_b = K_w \), where \( K_w \) is the ion product of water (\( 1.0 \times 10^{-14} \) at 25°C). From there, the pH can be calculated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa27126fa-f699-492a-96f6-5e9ab2b9201f%2Ff4800895-10f4-4c89-af6f-85462922de60%2Fnyhy4ns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question**: What is the pH of a 0.15 M NH₄Cl (aq) solution given ammonia has a K_b of \( 1.8 \times 10^{-5} \)?
**Explanation**: This problem requires the use of equilibrium calculations to find the pH of an ammonium chloride solution. Since \( \text{NH}_4^+ \) acts as a weak acid, it will donate a proton to water to form \( \text{H}^+ \) and \( \text{NH}_3 \). The given K_b value for ammonia can be used to find the K_a value for \( \text{NH}_4^+ \) by using the relationship \( K_a \times K_b = K_w \), where \( K_w \) is the ion product of water (\( 1.0 \times 10^{-14} \) at 25°C). From there, the pH can be calculated.
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