**Buffer Solution Ratio Calculation****Problem Statement:**Calculate the ratio of pyridine (C₅H₅N) to its conjugate acid, the pyridinium ion (C₅H₅NH⁺), in a buffer made of pyridine and the pyridinium ion when the pH of that buffer solution is 4.94. The acid dissociation constant (Kₐ) for the pyridinium ion is 5.60 x 10⁻⁶.**Detailed Explanation:**To solve this problem, one needs to employ the Henderson-Hasselbalch equation, which relates the pH of a buffer solution to the pKₐ and the ratio of the concentrations of the conjugate base and the conjugate acid.The Henderson-Hasselbalch equation is given by:\[ \text{pH} = \text{p}K_a + \log \left( \frac{[\text{Conjugate Base}]}{[\text{Conjugate Acid}]} \right) \]Where:- $ \text{Conjugate Base} $ is pyridine (C₅H₅N),- $ \text{Conjugate Acid} $ is pyridinium ion (C₅H₅NH⁺).First, calculate the pKₐ from the Kₐ:\[ \text{p}K_a = -\log(K_a) \]\[ K_a = 5.60 \times 10^{-6} \]\[ \text{p}K_a = -\log(5.60 \times 10^{-6}) \]Then, use the Henderson-Hasselbalch equation to find the ratio of pyridine to the pyridinium ion. This will involve substituting the known values of pH and pKₐ into the equation.Lastly, solve for the ratio:\[ \frac{[\text{C₅H₅N}]}{[\text{C₅H₅NH⁺}]} = 10^{(\text{pH} - \text{p}K_a)} \]Thus, through substitution and calculation, the ratio can be determined.

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Calculate the ratio of pyridine (C3H,N) to it's conjugate acid, the Pyridinium ion (C3H,NH"), CHN in a buffer made of pyridine CH,NH and the pridinium ion when the pH of that buffer solution is 4.94. K for the pyridinium ion is 5.60 x 106

Calculate the ratio of pyridine (C3H,N) to it's conjugate acid, the Pyridinium ion (C3H,NH"), CHN in a buffer made of pyridine CH,NH and the pridinium ion when the pH of that buffer solution is 4.94. K for the pyridinium ion is 5.60 x 106

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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