Question

In: Chemistry

Consider the titration of 50.0 mL of 0.20 M  NH3 (Kb=1.8×10−5) with 0.20 M  HNO3. Calculate the pH...

Consider the titration of 50.0 mL of 0.20 M  NH3 (Kb=1.8×10−5) with 0.20 M  HNO3. Calculate the pH after addition of 50.0 mL of the titrant.

Solutions

Expert Solution

NH3 millimoles = 50 x 0.20 = 10

millimoles of HNO3 = 50 x 0.20 = 10

NH3 + HNO3 -------------------> NH4+NO3-

10         10                                 0 -------------------> initial

0             0                                  10 -------------------> after reaction

here salt NH4+NO3 only remains in the mixture.

so pH is decided by salt hydrolysis of weak base strong acid salt

now

pKb of NH3 = 4.75

molarity of salt = millimoles / total volume

                         = 10 / (50+50)

                        = 0.1 M

C= 0.1 M

pH = 7 - 1/2 [pKb + logC]

pH = 7 - 1/2 [4.74 + log 0.1]

pH = 5.13


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