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What is the pH of a 0.225 Mammonia solution? Express your answer numerically to two decimal places. View Available Hint(s) IV
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Answer:

Part A:

Given [NH3]=0.225 M

Since ammonia is a weak base, the base dissociation constant, Kb=1.8 x 10-5.

The equilibrium reaction is

  NH3 + H2O <------> NH4+ + OH-

Initial 0.225 0 0

Change -x    +x +x

Equilibrium 0.225-x x x

Kb=[NH4+][OH-]/[NH3]   

1.8 x 10-5=x2/(0.225-x)

x2+(1.8 x 10-5)x-4.05 x 10-6=0

After solving this quadratic equation

x=0.002.

Therefore [OH-]=0.002 M

Then pOH=-log[OH-]

pOH=-log(0.002)=2.698.

Since pH+pOH=14

pH=14-pOH=14-2.698

pH=11.3.

Part B:

% Ionization of ammonia=([NH4+]eq/[NH3]initial) x 100

Given [NH3]initial=0.225 M, and [NH4+]=x=0.002 M

% Ionization=(0.002M/0.225M) x 100

% Ionization=0.888 %.

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