Respuesta :
Find the pH of each mixture of acids. Acid Ionization Constants (Ka) for Some Monoprotic Weak Acids at 25 ∘C Acid Formula Ka Benzoic acid HC7H5O2 6.5×10−5 Hydrofluoric acid HF 6.8×10−4 Phenol HC6H5O 1.3×10−10 Formic acid HCHO2 1.8×10−4 Hypochlorous acid HClO 2.9×10−8
A.) 0.070 M in HNO3 and 0.185 M in HC7H5O2 Express your answer to two decimal places.
B.) 0.025 M in HBr and 0.020 M in HClO4 '
C.) 0.095 M in HF and 0.230 M in HC6H5O
Answer:
a) the pH of the mixture = 1.13
b) the pH of this mixture = 1.35
c) the pH of this mixture = 2.09
Explanation:
The formula to determine the hydrogen ion concentration in benzoic acid is as follows:
[tex][H^+] = \sqrt{K_2C}[/tex]
[tex][H^+] = \sqrt{6.5*10^{-5}*0.185M}[/tex]
[tex][H^+] =0.0035M[/tex]
HNO₃ is a strong acid whose dissociation is complete and thorough into its ions.
[tex]HNO_3 \rightleftharpoons H^+ + NO^-_3[/tex]
So, [tex][H^+][/tex] = 0.070 M
The total hydrogen concentration of the mixture will now be:
[tex][H^+][/tex] = (0.0035 + 0.070 )M
[tex][H^+][/tex] = 0.0735 M
Now the pH can be determined as:
pH = - log [tex][H^+][/tex]
pH = - log [0.0735]
pH = - (-1.13)
pH = 1.13
Hence, the pH of the mixture = 1.13
b) In HBr and HClO₄, these are both strong acids and as such, they undergo complete dissociation of their ions.
[tex]HBr \rightleftharpoons H^+ + Br^-[/tex]
So, [tex][H^+] = 0.025 M[/tex]
[tex]HClO_4 \rightleftharpoons H^+ +ClO^-_4[/tex]
So, [tex][H^+] = 0.020 M[/tex]
The total hydrogen ion concentration of the mixture =
[tex][H^+] = 0.020 M + 0.025 M[/tex][tex][H^+] = 0.045 M[/tex]
Now; the pH will be
pH = - log [tex][H^+][/tex]
pH = - log [0.045]
pH = - (-1.35)
pH = 1.35
Thus, the pH of this mixture = 1.35
c) For hydrofluoric acid and phenol (weak acids ), the following expression is used to calculate the hydrogen ion concentration
[tex][H^+] = \sqrt{K_{a1}C_1+K_{a2}C_2}[/tex]
[tex][H^+] = \sqrt{6.8*10^{-4}*0.095 +1,3*10^{-10}*0.230[/tex]
[tex][H^+] = 0.008037 M[/tex]
The pH can then be calculated as follows:
pH = - log [tex][H^+][/tex]
pH = - log [0.008037]
pH = - (-2.09)
pH = 2.09
Thus, the pH of this mixture = 2.09
The Ka shows the extent of dissociation of an acid in solution.
For benzoic acid;
HC7H5O2(aq) ⇄ H^+(aq) + C7H5O2^-(aq)
Ka = [ H^+] [C7H5O2^-]
But [ H^+] = [C7H5O2^-]
Hence, Ka = [ H^+]^2
[ H^+] = √Ka
[ H^+] = √6.5×10−5
[ H^+] = 8.1 ×10−3 M
pH = -log [ H^+]
pH = -log[8.1 ×10−3 M]
pH = 2.1
For Hydrofluoric acid;
HF(aq) ⇄ H^+(aq) + F^-(aq)
Ka = [ H^+] [ F^-]
But [ H^+] = [ F^-]
Ka = [ H^+] ^2
[ H^+] = √Ka
[ H^+] = √6.8×10−4
[ H^+] = 0.0261 M
pH = -log [ H^+]
pH = -log[ 0.0261 M]
pH = 1.58
For Phenol;
HC6H5O(aq) ⇄ H^+(aq) + C6H5O^-(aq)
Ka = [H^+] [C6H5O^-]
But [H^+] = [C6H5O^-]
Ka = [H^+] ^2
[H^+] = √Ka
[H^+] = √ 1.3×10−10
[H^+] =1.14 ×10−5 M
pH = -log [H^+]
pH = -log[1.14 ×10−5 M]
pH = 4.94
For Formic acid
HCHO2(aq) ⇄ H^+(aq) + CHO2^-(aq)
Ka = [ H^+] [CHO2^-]
But [ H^+] = [CHO2^-]
Ka = [ H^+] ^2
[ H^+] = √Ka
[ H^+] = √1.8×10−4
[ H^+] = 0.0136 M
pH = - log [ H^+]
pH = -log[ 0.0136 M]
pH = 1.87
For Hypochlorous acid
HClO(aq) ⇄ H^+(aq) + ClO^-(aq)
Ka = [H^+] [ClO^-]
But [H^+]= [ClO^-]
Ka = [H^+]^2
[H^+] = √Ka
[H^+] = √2.9×10−8
[H^+] = 1.7 ×10−4 M
pH= -log [H^+]
pH = -log[1.7 ×10−4 M]
pH = 3.77
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