An aqueous solution of nitrous acid hno2 has a ph of 1. 96. The ionization constant of this acid is 5. 0 × 10−4. How much nitrous acid was used to prepare one liter of this solution?.

Respuesta :

The number of moles of nitrous acid used to prepare the solution is 0.0021 moles.

pH of the HNO2 solution =  1. 96

Concentration of the HNO2 solution = Antilog(-1.96) = 0.011 M

We have to set up the ICE table as follows;

         HNO2(aq)   ⇄ H^+(aq)  +   NO2^-(aq)

I      0.011                    0                 0

C     -x                         +x               +x

E     0.011  - x              x                  x

The dissociation constant of the acid is 5.0 × 10−4

Hence;

5.0 × 10−4 = x^2/ 0.011  - x

5.0 × 10−4(0.011  - x ) = x^2

5.5  × 10^-6 - 5.0 × 10^-4x =  x^2

x^2 + 5.0 × 10^-4x - 5.5  × 10^-6 = 0

x= 0.0021 M

The concentration of the acid (H^+) in the solution is 0.0021 M. The number of moles of the acid is obtained from;

0.0021 M × 1 L = 0.0021 moles

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