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Ka expression for methanaminium (CH3NH3+) is given as follow,
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The expression for dissociation constant [tex]\left( {{{\text{k}}_{\text{a}}}} \right)[/tex] of [tex]{\text{C}}{{\text{H}}_{\text{3}}}{\text{NH}}_3^ +[/tex]  in water is given as follows:

[tex]\boxed{{{\text{k}}_{\text{a}}} = \frac{{\left[ {{\text{C}}{{\text{H}}_{\text{3}}}{\text{N}}{{\text{H}}_{\text{2}}}} \right]\left[ {{{\text{H}}_{\text{3}}}{{\text{O}}^ + }} \right]}}{{\left[ {{\text{C}}{{\text{H}}_3}{\text{NH}}_3^ + } \right]}}}[/tex]

Further Explanation:

ACIDS AND BASES:

Following theories are put forward from time to time so as these two terms can be defined.

Arrhenius theory:

According to this concept, acids donate hydrogen ions in solutions and bases donate hydroxide ions in solutions.

Bronsted-Lowry theory:

This theory describes acids as proton donors and bases act as proton gainers.

Lewis theory:

Acids are species that are capable to accept electrons from other species while bases are those having tendency to donate electron pairs.

Acid strength is measured with a term called as dissociation constant. It is denoted by [tex]{{\text{k}}_{\text{a}}}[/tex].

The chemical reaction between [tex]{\text{C}}{{\text{H}}_{\text{3}}}{\text{NH}}_3^ +[/tex] and water is as follows:

[tex]{\text{C}}{{\text{H}}_{\text{3}}}{\text{NH}}_3^ + + {{\text{H}}_{\text{2}}}{\text{O}} \rightleftharpoons {\text{C}}{{\text{H}}_3}{\text{N}}{{\text{H}}_{\text{2}}} + {{\text{H}}_{\text{3}}}{{\text{O}}^ + }[/tex]  

The expression for dissociation constant of [tex]{\text{C}}{{\text{H}}_{\text{3}}}{\text{NH}}_3^ +[/tex] is as follows:

[tex]{{\text{k}}_{\text{a}}} = \dfrac{{\left[ {{\text{C}}{{\text{H}}_{\text{3}}}{\text{N}}{{\text{H}}_{\text{2}}}} \right]\left[ {{{\text{H}}_{\text{3}}}{{\text{O}}^ + }} \right]}}{{\left[ {{\text{C}}{{\text{H}}_3}{\text{NH}}_3^ + } \right]}}[/tex]  

Where,

[tex]\left[ {{\text{C}}{{\text{H}}_{\text{3}}}{\text{N}}{{\text{H}}_{\text{2}}}} \right][/tex]  is the concentration of [tex]{\text{C}}{{\text{H}}_{\text{3}}}{\text{N}}{{\text{H}}_{\text{2}}}[/tex].

[tex]\left[ {{\text{C}}{{\text{H}}_{\text{3}}}{\text{NH}}_3^ + } \right][/tex]  is the concentration of [tex]{\text{C}}{{\text{H}}_{\text{3}}}{\text{NH}}_3^ +[/tex].

[tex]\left[ {{{\text{H}}_3}{{\text{O}}^ + }} \right][/tex]  is the concentration of [tex]{{\text{H}}_{\text{3}}}{{\text{O}}^ + }[/tex] .

Learn more:

  1. The reason for the acidity of water https://brainly.com/question/1550328  
  2. Reason for the acidic and basic nature of amino acid. https://brainly.com/question/5050077  

Answer details:  

Grade: High School  

Subject: Chemistry  

Chapter: Acid, base and salts  

Keywords: acids, bases, CH3NH3+, CH3NH2, H2O, H3O+, Arrhenius, Lewis, Bronsted-Lowry, concentration, [CH3NH3+], [CH3NH2], [H3O+], dissociation constant, hydrogen ion, hydroxide ion, dissociation constant, ka, expression, chemical reaction.

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