Question

In: Chemistry

Calculate the pH of a solution that contains 0.045 M HCl and 0.045 HClO2., HClO2 Ka...

Calculate the pH of a solution that contains 0.045 M HCl and 0.045 HClO2., HClO2 Ka = 1.1x10^-2

Solutions

Expert Solution

HCl is strong acid while HClO2 is weak acid

HClO2 ionizes as HClO2+ H2O---------->ClO2-+ H3O+

Ka= [ClO2-] [H3O+]/[HClO2]

preparing the ICE table,

x= drop in concentration of HClO2 to reach equilibrium, at equilibrium [ClO2= [H3O+]=x

component                         HClO2                             ClO2-                                  H3O+

initial                                  0.045                                0                                          0

change                                -x                                    x                                           x

equilibrium                       0.045-x                              x                                            x

Ka= x2/(0.045-x)= 1.1*10-2 , when solved using excel x= [H3O+]=0.01742

HCl being strong ionizes completely as HCl+ H2O----------->H3O++Cl-

[H3O+] from HCl ionization =0.045

total of H3O+ =0.01742+0.045=0.06242

pH= -log[H3O+]= -log (0.06242)=1.2047


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