Calculate the [H+] in a solution that is 0.803 M in NaX and 0.677 M in HX given that the Ka of HX is 8.64 ⋅ 10 − 7 8.64⋅10-7. Report your answer in scientific notation to 3 sig figs.

Respuesta :

Answer:

The concentration of hydrogen ion in the solution was [tex]7.24\times 10^{-7}[/tex].

Explanation:

To calculate the pH of acidic buffer, we use the equation given by Henderson Hasselbalch:

[tex]pH=pK_a+\log(\frac{[salt]}{[acid]})[/tex]

[tex]pH=pK_a+\log(\frac{[NaX]}{[HX]})[/tex]

We are given:

[tex]K_a[/tex] = Acid dissociation constant of HX = [tex]8.64\times 10^{-7}[/tex]

[tex]pK_a=-\log[K_a]=-\log[8.64\times 10^{-7}]=6.06[/tex]

[tex][salt]=[NaX]=0.803 M[/tex]

[tex][acid]=[HX]=0.677 M[/tex]

pH = ?

Putting values in above equation, we get:

[tex]pH=6.06+\frac{0.803 M}{0.677 M}[/tex]

pH = 6.14

[tex]pH=-\log[H^+][/tex]

[tex]6.14=-\log[H^+][/tex]

[tex][H^+]=10^{-6.14}=7.24\times 10^{-7}[/tex]

The concentration of hydrogen ion in the solution was [tex]7.24\times 10^{-7}[/tex].