find the initial pH of 0.2000 L of a buffer solution that is 0.195 M methylamine and 0.125 M methylammonium nitrate, and calculate the pH after the addition of 17.00 mL of 0.550 M potassium hydroxide

Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter17: Principles Of Chemical Reactivity: Other Aspects Of Aqueous Equilibria
Section17.2: Controlling Ph: Buffer Solutions
Problem 17.5CYU: Calculate the pH of 0.500 L of a buffer solution composed of 0.50 M formic acid (HCO2H) and 0.70 M...
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find the initial pH of 0.2000 L of a buffer solution that is 0.195 M methylamine and 0.125 M methylammonium nitrate, and calculate the pH after the addition of 17.00 mL of 0.550 M potassium hydroxide

Expert Solution
Step 1

Given : Concentration of methylamine i.e CH3NH2 = 0.195 M

Concentration of methylammonium nitrate i.e CH3NH3NO3 = 0.125 M

Volume of buffer solution = 0.2000 L

Concentration of KOH added = 0.550 M

And volume of KOH solution added = 17.00 = 0.0170 L                                        (since 1 L = 1000 mL)

Initially, the solution is having only weak base CH3NH2 and its conjugate acid CH3NH3NO3 in the solution with the given concentrations.

Hence they will be forming a buffer solution with initial concentrations.

 

Step 2

Since the pOH of base buffer is given by Henderson-Hasselbalch equation as,

Chemistry homework question answer, step 2, image 1

where pKb = 3.36                                                                      (using appendix for methylamine)

[salt] = concentration of conjugate acid of base i.e CH3NH3NO3 

[base] = concentration of base i.e CH3NH2 

Hence substituting the values we get,

=> pOH = 3.36 + log0.1250.195 = 3.167 approx.

=> Initial pH = 14 - pOH = 14 - 3.167 = 10.833 approx.

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