Calculate the percent ionization of propionic acid (C2H5COOH) in solutions of each of the following concentrations (Ka is given in Appendix D in the textbook).

Part A. 0.270 M

Part B. 7.84×10-2 M

Part C. 1.97×10-2 M

Respuesta :

Answer:

a) = 0.704%

b) = 1.30%

c) = 2.60%

Explanation:

Given that:

[tex]K_a[/tex]= [tex]1.34*10^{-5[/tex]

For Part A; where Concentration of A = 0.270 M

Percentage Ionization(∝)  [tex]\alpha = \sqrt{\frac{K_a}{C} }[/tex]

[tex]\alpha = \sqrt{\frac{1.34*10^{-5}}{0.270} }[/tex]

[tex]\alpha = \sqrt{4.9629*10^{-5}}[/tex]

[tex]\alpha = 7.044*10^{-3[/tex]

percentage% (∝) = [tex]7.044*10^{-3}*100[/tex]

= 0.704%

For Part B; where Concentration of B = [tex]7.84*10^{-2[/tex] M

[tex]\alpha = \sqrt{\frac{1.34*10^{-5}}{7.84*10^{-2}} }[/tex]

[tex]\alpha = \sqrt{1.709*10^{-4} }[/tex]

[tex]\alpha = 0.0130\\[/tex]

percentage% (∝) = 0.0130 × 100%

= 1.30%

For Part C; where Concentration of C= [tex]1.92*10^{-2} M[/tex]

[tex]\alpha = \sqrt{\frac{1.34*10^{-5}}{1.97*10^{-2}} }[/tex]

[tex]\alpha = \sqrt{6.802*10^{-4}}[/tex]

[tex]\alpha =0.02608[/tex]

percentage% (∝) = 0.02608  × 100%

= 2.60%

The percent ionization for propionic acid in each case are:

  • Part A. 0.704%
  • Part B. 1.31%
  • Part C. 2.61 %

What is the percent ionization?

Percent ionization is the quantity of a weak acid that ionizes in a solution expressed as a percentage.

We can calculate the percent ionization using the following expression.

α% = √(Ka/Ca) × 100%

where,

  • α% is the percent ionization.
  • Ka is the acid dissociation constant (1.34 × 10⁻⁵ for propionic acid).
  • Ca is the concentration of the acid.

  • Part A. 0.270 M

α% = √(1.34 × 10⁻⁵/0.270) × 100% = 0.704%

  • Part B. 7.84 × 10⁻² M

α% = √(1.34 × 10⁻⁵/7.84 × 10⁻²) × 100% = 1.31 %

  • Part C. 1.97 × 10⁻² M

α% = √(1.34 × 10⁻⁵/1.97 × 10⁻²) × 100% = 2.61 %

The percent ionization for propionic acid in each case are:

  • Part A. 0.704%
  • Part B. 1.31%
  • Part C. 2.61 %

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