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Pyridine , C 5 H 5 N , is a weak base that dissociates in water as shown above.

ID: 827089 • Letter: P

Question


Pyridine , C5H5N , is a weak base that dissociates in water as shown above. At 25 C , the base dissociation constant , Kb , for C5H5N is 1.7 *10-9 .

a) Determine the hydroxide ion concentration and the percentage dissociation of a 0.15 molar solution of pyridine at 25 C .

b)      Determine the pH of a solution prepared by adding 0.0500 moles of solid C5H5NHCl to 100. millimeters of a 0.15-molar solution of C5H5N.

c)       If a 0.0800 mole of solid magnesium chloride , MgCl2 is dissolved in the solution prepared in part (b) and resulting solution is well-stirred , will a precipitate of Mg(OH)2 form ? Show calculation to support your answer . ( Assume the volume of the Mg(OH)2 is 1.5 * 10-11 ).

Thank You!!!

Explanation / Answer

a.


C5H5N   +    H2O      <=>       HC5H5N+      +      OH-


0.15                /                              0                           0

-x                     /                                +x                        +x

0.15-x             /                                  x                            x


In 0.15-x, x is insignificant


Kb = [HC5H5N+][OH-]/[C5H5N] = x^2/0.15 = 1.7 x 10^-9


x = 1.6 x 10^-5 M


[OH-] = 1.6 x 10^-5


% ionization = [HC5H5N+]eq / [C5H5N]initial


                       = 1.6 x 10^-5 / 0.15 x 100%


                       = 0.01 %



b.


If 0.05 mole is added to 100 mL


concentration = 0.05 mol / 0.1 L = 0.5 M


Hendersal Hasselbalch equation


pH = pKa + log ([base]/[acid])



Ka = Kw/Kb = 5.88 x 10^-6


pKa = -log Ka = 5.230448


acid = C5H5NHCl


base = C5H5N


pH = pKa + log ([base]/[acid])


      = 5.23 + log (0.15 / 0.50)


      = 4.71



c.


concentration of MgCl2 = [Mg2+] = 0.8 M


[OH-] = 10^-pOH = 10^-(14-pH)


         = 10^-9.29


         = 5.1 x 10^-10 M


Ksp = [Mg2+][OH-]^2 = 1.5 x 10^-11


TIP = (0.8)(5.1 x 10^-10)^2


         = 2.08 x 10^-19


TIP < Ksp, thus there is no precipitation

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