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Sagot :
Based on the calculations through the ICE table, the pH of the buffer solution is equal to 3.30.
Given the following data:
- Concentration of [tex]HNO_2[/tex] = 0.55 M.
- Concentration of [tex]KNO_2[/tex] = 0.75 M.
- Rate constant = [tex]6.8 \times 10^{-4}[/tex]
How to determine the pH of the buffer solution.
First of all, we would write the properly balanced chemical equation for this chemical reaction:
[tex]HNO_2(aq)\rightleftharpoons H^{2+} (aq)+ KNO_2^{-}(aq)[/tex]
Initial cond. 0.55M 0 0.75M
[tex]\Delta C[/tex] -x x x
At equib. 0.55M - x 0 + x 0.75M + x
From the ICE table, the Ka for this chemical reaction is given by:
[tex]K_{a}=\frac{[H^+][NO_2^+]}{HNO_2} \\\\H^+ = K_{a}\frac{[HNO_2]}{[NO_2^+]} \\\\H^+ = 6.8 \times 10^{-4} \times \frac{0.55}{0.75} \\\\H^+ = 6.8 \times 10^{-4} \times 0.733\\\\H^+ = 4.98 \times 10^{-4} \;M[/tex]
Now, we can calculate the pH of the buffer solution:
[tex]pH=-log[H^+]\\\\pH=-log[4.98 \times 10^{-4}]\\\\pH=-(-3.30)[/tex]
pH = 3.30.
Alternatively, you can calculate the pH of this buffer solution by applying Henderson-Hasselbalch equation:
[tex]pH =pka+ log_{10} \frac{A^-}{HA}[/tex]
Where:
- HA is acetic acid.
- [tex]A^-[/tex] is acetate ion.
Read more on concentration here: https://brainly.com/question/3006391
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