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 at 25 ∘c.

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Total moles of NH3 = 50 ml x 0.20 m = 0.01 mol 
Total moles of HNO3 = 50 ml x 0.20 m = 0.01 mol
 NH3 + H+ = NH4+, moles of NH4+ = 0.01 M x l
 H3O+ = NH3 = N
 Total volume of both compounds = 50 ml + 50 ml = 100 ml = 0.1 l
 For ammonium ion NH4+ = 0.01 M x l / 0.1 l = 0.1 M
 Kw = 1.0 x 10^-14; Kb = 1.8 x 10^-5; Ka = Kw/Kb = 1.0 x 10^-14 / 1.8 x 10^-5 
  Ka = 5.55 x 10^-10 = [H3O+ + 1][NH3] / [NH4^+1] = N x N / (0.1 - N)
 Since the value of the N is very less and almost negligible 5.55 x 10^-10 = N^2/0.1 
 N^2 = 55.5 x 10^-12 => N = 7.44 x 10^-6 => H3O+ = 7.44 x 10^-6 Hence the pH value is 5.13

The study of chemicals and bonds is called chemistry. There are two types of elements and these are metals and nonmetals.

The correct answer is mentioned above.

What is titration?

  • Titration is a common laboratory method of quantitative chemical analysis to determine the concentration of an identified analyte.
  • A reagent, termed the titrant or titrator, is prepared as a standard solution of known concentration and volume.

According to the question,

Total moles of NH3 =[tex]50 ml * 0.20 m = 0.01 mol[/tex]

Total moles of HNO3 = [tex]50 ml * 0.20 m = 0.01 mol[/tex]

[tex]NH_3 + H^+ = NH4^+[/tex], moles of [tex]NH4^+ = 0.01 M * l H_3O^+ = NH_3 = N[/tex]

The totall volume of both compounds = [tex]50 ml + 50 ml = 100 ml = 0.1 l[/tex]

For ammonium ion [tex]NH4^+ = 0.01 M * l / 0.1 l = 0.1 M[/tex]

Kw = [tex]1.0 * 10^{-14}[/tex];

Kb = [tex]1.8 * 10^{-5}[/tex]

Ka = Kw/Kb = [tex]\frac{1.0 * 10^{-14}}{1.8 * 10^{-5}}[/tex]

 Ka =[tex]5.55* 10^{-10}\\ = \frac{[H3O^+ + 1][NH3]}{ [NH4^+1]}\\\\= \frac{N * N}{(0.1 - N)}[/tex]

Since the value of the N is very less and almost negligible [tex]5.55 * 10{^-10} = \frac{N^2}{0.1}[/tex]

[tex]{N^2} \\=55.5*10{^-12} \\N = 7.44* 10{^-6} \\= H_3O^+ = 7.44 * 10{^-6}[/tex]

Hence, the pH value will be 5.13.

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https://brainly.com/question/1388366

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