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The pH of an aqueous solution of 7.96×10-2 M ammonium nitrate, NH4NO3 (aq), is . This...


The pH of an aqueous solution of 7.96×10-2 M ammonium nitrate, NH4NO3 (aq), is .

This solution is

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Expert Solution

       NH4NO3(aq) --------------> NH4^+ (aq)            +     NO3^- (aq)

    7.96*10^-2M                          7.96*10^-2 M(0.0796M)

           NH4^+ (aq) + H2O -------------> NH3(aq) + H3O^+ (aq)

I         0.0796                                          0                  0

C          -x                                                +x               +x

E      0.0796-x                                          +x                +x

      Kb     = 1.8*10^-5

      ka    = Kw/Kb

              = 1*10^-14/1.8*10^-5   = 5.6*10^-10

     Ka    =   [NH3][H3O^+]/[NH4^+]

    5.6*10^-10   = x*x/0.0796-x

5.6*10^-10*(0.0796-x) = x^2

     x   = 6.67*10^-6

   [H3O+]   = x   = 6.67*10^-6M

   PH   = -log[H3O^+]

           = -log6.67*10^-6

           = 5.1758 >>>>answer


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