**Problem Statement:**If the pH of a 0.0850 M solution of HBrO₂ is 2.29, then what is the value for the acidity constant, Kₐ, of HBrO₂?**Chemical Equation:**\[ \text{HBrO}_2(\text{aq}) + \text{H}_2\text{O}(\text{l}) \rightleftharpoons \text{H}_3\text{O}^+(\text{aq}) + \text{BrO}_2^−(\text{aq}) \]\[ K_a = ? \]**Calculation Pathway:**To find the \( K_a \), use the equation for the equilibrium constant for acids:\[ K_a = \frac{[\text{H}_3\text{O}^+][\text{BrO}_2^-]}{[\text{HBrO}_2]} \]**Provided Values:**- Initial concentration of HBrO₂: 0.0850 M- pH: 2.29**Steps for Calculation:**1. **Calculate the Hydronium Ion Concentration (\([\text{H}_3\text{O}^+]\)):** From the pH value: \[ [\text{H}_3\text{O}^+] = 10^{-\text{pH}} = 10^{-2.29} \]2. **Determine Changes in Concentrations:** - Initial concentration of HBrO₂: 0.0850 M - Change in concentration of HBrO₂ and formation of \(\text{H}_3\text{O}^+\) = \(x\)3. **Expression for Kₐ:** Substitute the concentrations into the equilibrium expression to solve for \( K_a \).4. **Conclusion and Analysis:**Complete the calculation and then answer the following:*Given the information above, is the bromite ion, \(\text{BrO}_2^-\), a strong base, a weak base, or not basic in water?* Use the result of the \( K_a \) value to determine the basicity of \(\text{BrO}_2^-\).

HBrO2 + H2O → H3O+ + BrO2-Initial 0.0850 0 0Concentration -x +x +xEquilibrium 0.0850-x x xpH = - log [H3O+][H3O+]=10-pH=10-2.29=0.00513The equilibrium constant of the solution can be calculated as follows: Ka=(0.00513)(0.00513)0.0850-0.00513Ka=2.6317×10-50.07987=32.95 ×10-5

Answered: If the pH of a 0.0850 M solution of…

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If the pH of a 0.0850 M solution of HB1O2 is 2.29, then what is the value for the acidity constant, Ka, of HBrO2? HB1O2(aq) + H20(I) H3O*(aq) + Br0, (aq) K¸ = ?

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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