The base-dissociation constant of ethylamine (c2h5nh2) is 6.4 ??? 10???4 at 25.0 ??
c. the [h ] in a 1.2 ??? 10-2 m solution of ethylamine is ________ m.

Respuesta :

Answer is: concentration of hydrogen ions are 4·10⁻¹¹ M.
Chemical reaction: C₂H₅NH₂ + H₂O ⇄ C₂H₅NH₃⁺ + OH⁻.
Kb(C₂H₅NH₂) = 6,4·10⁻⁴.
c(C₂H₅NH₂) = 1,2·10⁻² M = 0,012 M.
[C₂H₅NH₃⁺] = [OH⁻] = x.
[C₂H₅NH₂] = 0,012 M - x.
Kb = [C₂H₅NH₃⁺] · [OH⁻] / [C₂H₅NH₂].
6,4·10⁻⁴ = x² / (0,012 M - x).
Solve quadratic equation: x = [OH⁻] = 0,0025 M.
[OH⁻] · [H⁺] = 10⁻¹⁴.
[H⁺] = 10⁻¹⁴ ÷ 0,0025 M = 4·10⁻¹¹ M.

[H⁺]=3.608.10⁻¹²

Further explanation

Weak acid ionization reaction occurs partially (not ionizing perfectly as in strong acids)

The ionization reaction of a weak acid is an equilibrium reaction

HA (aq) ---> H⁺ (aq) + A⁻ (aq)

The equilibrium constant for acid ionization is called the acid ionization constant, which is symbolized by Ka

The values ​​for the weak acid reactions above:

[tex]\rm Ka=\dfrac{[H][A^-]}{[HA]}[/tex]

The greater the Ka, the stronger the acid, which means the reaction to the right is also greater

Where Kb is the base ionization constant

LOH (aq) ---> L⁺ (aq) + OH⁻ (aq)

[tex]\rm Kb=\dfrac{[L][OH^-]}{[LOH]}[/tex]

Kb of Ethylamine (C₂H₅NH₂) : 6.4.10⁻⁴

The ethylamine ionization reactions occur in water as follows:

C₂H₅NH₂ + H₂O ⇒ C₂H₅NH₃⁺ + OH⁻

with a Kb value:

[tex]\rm Kb=\dfrac{[C_2H_5NH_3^+][OH^-]}{[C_2H_5NH_2]}[/tex]

for example x = number of moles / concentration that reacts

Initial concentration of  Ethylamine (C₂H₅NH₂) : 1.2.10⁻²

Concentration at equilibrium = 1.2.10⁻²  -x

Initial concentration of C₂H₅NH₃ = 0

Concentration at equilibrium = x

Initial concentration OH⁻ = 0

Concentration at equilibrium = x

so the value of Kb =

[tex]\rm Kb=\dfrac{[x][x]}{[1.2.10^{-2}-x]}\\\\assumption\:x=so\:small\:then\\\\6.4.10^{-4}=\dfrac{x^2}{1.2.10^{-2}}\\\\x^2=7.68.10^{-6}\\\\x=2.771.10^{-3}[/tex]

x = [OH⁻] = 2.771.10⁻³

Ka x Kb = [H⁺] [OH-]

a water equilibrium constant value (Kw) of 1.10⁻¹⁴ at 25 °C

Ka x Kb = [H +] [OH-] = 1.10⁻¹⁴

1.10⁻¹⁴ = [H⁺] . 2.771.10⁻³

[H⁺]=3.608.10⁻¹²

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