Determine the pH during the titration of 28.5 mL of 0.232 M HNO3 by 0.232 M NaOH at the following points: (a) Before the addition of any NaOH (b) After the addition of 14.3 mL of NaOH (c) At the equivalence point  (d) After adding 35.3 mL of NaOH

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Determine the pH during the titration of 28.5 mL of 0.232 M HNO3 by 0.232 M NaOH at the following points:

(a) Before the addition of any NaOH

(b) After the addition of 14.3 mL of NaOH

(c) At the equivalence point 

(d) After adding 35.3 mL of NaOH
 
 
Expert Solution
Step 1

Given, 

          The titration of 28.5 mL of 0.232 M HNO3  by 0.232 M NaOH .

 • First, let's take a look at the acid-base reaction. The equation for this one is:

HNO3 + NaOH --> H2O + NaNO3

We also need to know the equation for pH, which is:

pH = -log[H+].

(1) Before the addition of any sodium hydroxide, you know that you have a solution that is 0.232M [HNO3]

Since [H +] = [NO3-] = [HNO3], you know that [H+] = 0.232 .

     • pH=-log(0.232) = 0.635 .

(2) Now, you need to know how many moles of your acid were neutralized by the NaOH.

   Numbers of moles of NaOH 

    = (0.0143 L * 0.232 mol .L-1

   = 0.0033176 moles 

 To find out how many moles of HCl you started with:

   No. Of moles of HNO3 

            = (0.0285 L * 0.232 mol.L-1

             = 0.006612 moles 

  No. Of excess moles of HNO3 

 = (0.006612 - 0.0033176) moles 

= 0.0032944 moles .

 Total volume = ( 0.0285 + 0.0143) L 

                       =  0.0428 L .

 Concentration of H ,

[H+] = (0.0032944/0.0428) M = 0.07697 M 

   •  pH = - log (0.07697) = 1.11  .

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