Imibuzo eyisibonelo exoxa nge-acid kanye ne-base pH

Imibuzo Eyisibonelo Exoxa Nge-pH Yama-Acids Nezisekelo

Uma sikhuluma ngama-asidi nezisekelo, umqondo owodwa obalulekile okumele siwuqonde yi-pH. I-pH iyisilinganiso se-acidity noma i-alkalinity yesisombululo. Enye ifomula esetshenziswa ukunquma i-pH yile:

\[ \umbhalo{pH} = -\umbhalo [H^+] \]

Kule fomula, \([H^+]\) ukuhlushwa kwama-ion e-hydrogen esixazululweni esilinganiswa nge-molarity (\(\text{mol/L}\)). Ngaphezu kwe-pH, sine-\(\text{pOH}\), esetshenziselwa ukunquma ubunjalo besisombululo:

\[ \umbhalo{pOH} = -\umbhalo [OH^-] \]

Ngemuva kwalokho, ubudlelwano phakathi kwe-pH ne-pOH bulawulwa yile nombolo elandelayo:

\[ \text{pH} + \text{pOH} = 14 \]

Ngezansi sizoxoxa ngemibuzo eminingana eyisibonelo mayelana nendlela yokubala i-pH yezixazululo ze-asidi nesisekelo, kanye nezingxoxo zazo.

Isibonelo Umbuzo 1: Ukubala i-pH yesisombululo se-Acid Esiqinile

Umbuzo:

Bala i-pH yesisombululo se-HCl (i-hydrochloric acid) ngokuhlushwa okungu-0,01 M.

Ingxoxo:

I-HCl iyi-asidi enamandla ezohlukana ngokuphelele emanzini:

\[ \text{HCl} \rightarrow \text{H}^+ + \text{Cl}^- \]

Njengoba i-HCl ihlukanisiwe ngokuphelele, ukuhlushwa kwama-ion e-hydrogen \([H^+]\) esixazululweni kuzofana nokuhlushwa kokuqala kwe-HCl, okungu-0,01 M.

\[ [H^+] = 0,01 \, \umbhalo{M} \]

Okulandelayo, sisebenzisa ifomula ye-pH:

\[ \umbhalo{pH} = -\umbhalo [H^+] \]

\[ \umbhalo{pH} = -\umbhalo (0,01) \]

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\[ \text{pH} = -\log (10^{-2}) \]

\[ \umbhalo{pH} = 2 \]

Ngakho-ke, i-pH yesisombululo se-HCl esingu-0,01 M ingu-2.

Isibonelo Umbuzo 2: Ukubala i-pH yesisombululo sesisekelo esiqinile

Umbuzo:

Bala i-pH yesisombululo se-NaOH (i-sodium hydroxide) ngokuhlushwa okungu-0,001 M.

Ingxoxo:

I-NaOH iyisisekelo esiqinile esihlukana ngokuphelele emanzini:

\[ \text{NaOH} \rightarrow \text{Na}^+ + \text{OH}^- \]

Ukuhlushwa kwama-ion e-hydroxide \([OH^-]\) esixazululweni kuzofana nokuhlushwa kokuqala kwe-NaOH, okungukuthi u-0,001 M.

\[ [OH^-] = 0,001 \, \umbhalo{M} \]

Okulandelayo, sibala i-pOH:

\[ \umbhalo{pOH} = -\umbhalo [OH^-] \]

\[ \umbhalo{pOH} = -\umbhalo (0,001) \]

\[ \text{pOH} = -\log (10^{-3}) \]

\[ \umbhalo{pOH} = 3 \]

Ngemva kwalokho, sisebenzisa ubudlelwano phakathi kwe-pH ne-pOH:

\[ \text{pH} + \text{pOH} = 14 \]

\[ \umbhalo{pH} + 3 = 14 \]

\[ \umbhalo{pH} = 11 \]

Ngakho-ke, i-pH yesisombululo se-NaOH esingu-0,001 M ingu-11.

Isibonelo Umbuzo 3: Ukubala i-pH yesisombululo se-Acid esibuthakathaka

Umbuzo:

Bala i-pH yesisombululo se-CH3COOH (i-acetic acid) ngokuhlushwa okungu-0,01 M kanye ne-dissociation constant ye-\(K_a = 1,8 \times 10^{-5}\).

Ingxoxo:

Uma sesinayo i-asidi ebuthakathaka, njenge-acetic acid, engahlukani ngokuphelele, kumele sisebenzise i-acid dissociation constant (\(K_a\)) ukuthola ukuhlushwa kwama-ion e-H+ esixazululweni.

Isilinganiso sokuhlukaniswa kwe-acetic acid emanzini:

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\[ \text{CH}_3\text{COOH} \leftrightarrow \text{H}^+ + \text{CH}_3\text{COO}^- \]

I-dissociation constant (\(K_a\)):

\[ K_a = \frac{[H^+] [\text{CH}_3\text{COO}^-]}{[\text{CH}_3\text{COOH}]} \]

Ake sicabange ukuthi ukuhlushwa kwama-ion e-hydrogen nama-ion e-acetate kungu-\(x\), bese kuthi:

\[ K_a = \frac{x \cdot x}{0,01 – x} \]

Njengoba i-\(K_a\) incane kakhulu, singacabanga ukuthi i-\(0,01 – x \cishe i-0,01\):

\[ 1,8 \izikhathi eziyi-10^{-5} = \frac{x^2}{0,01} \]

\[ x^2 = 1,8 \izikhathi ezingu-10^{-5} \izikhathi ezingu-0,01 \]

\[ x^2 = 1,8 \izikhathi eziyi-10^{-7} \]

\[ x = \sqrt{1,8 \izikhathi eziyi-10^{-7}} \]

\[ x \cishe 1,34 \izikhathi eziyi-10^{-4} \]

Ngakho-ke, ukuhlushwa kwama-ion e-hydrogen \([H^+]\) kungu-\(1,34 \times 10^{-4} \, \text{M}\).

Okulandelayo, sibala i-pH:

\[ \umbhalo{pH} = -\umbhalo [H^+] \]

\[ \text{pH} = -\log (1,34 \times 10^{-4}) \]

\[ \text{pH} \cishe 3,87 \]

Ngakho-ke, i-pH yesisombululo se-acetic acid esingu-0,01 M cishe ingu-3,87.

Isibonelo Umbuzo 4: Ukubala i-pH yesisombululo se-Weak Base

Umbuzo:

Bala i-pH yesisombululo se-NH3 (ammonia) ngokuhlushwa okungu-0,01 M kanye ne-base dissociation constant \(K_b = 1,8 \times 10^{-5}\).

Ingxoxo:

I-NH3 iyisisekelo esibuthakathaka esingahlukani ngokuphelele. Kumelwe sisebenzise i-base dissociation constant (\(K_b\)) ukuthola ukuhlushwa kwama-OH^- ions esixazululweni.

Ukusabela kokuhlukaniswa kwe-ammonia emanzini:

\[ \text{NH}_3 + \text{H}_2\text{O} \leftrightarrow \text{NH}_4^+ + \text{OH}^- \]

I-base dissociation constant (\(K_b\)):

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\[ K_b = \frac{[\text{NH}_4^+][\text{OH}^-]}{[\text{NH}_3]} \]

Ake sicabange ukuthi ukuhlushwa kwama-ion e-ammonium nama-ion e-hydroxide kungu-\(x\), bese kuthi:

\[ K_b = \frac{x \cdot x}{0,01 – x} \]

Njengoba i-\(K_b\) incane kakhulu, singacabanga ukuthi i-\(0,01 – x \cishe i-0,01\):

\[ 1,8 \izikhathi eziyi-10^{-5} = \frac{x^2}{0,01} \]

\[ x^2 = 1,8 \izikhathi ezingu-10^{-5} \izikhathi ezingu-0,01 \]

\[ x^2 = 1,8 \izikhathi eziyi-10^{-7} \]

\[ x = \sqrt{1,8 \izikhathi eziyi-10^{-7}} \]

\[ x \cishe 1,34 \izikhathi eziyi-10^{-4} \]

Ngakho-ke, ukuhlushwa kwama-ion e-hydroxide \([OH^-]\) kungu-\(1,34 \times 10^{-4} \, \text{M}\).

Okulandelayo, sibala i-pOH:

\[ \umbhalo{pOH} = -\umbhalo [OH^-] \]

\[ \text{pOH} = -\log (1,34 \times 10^{-4}) \]

\[ \text{pOH} \cishe 3,87 \]

Ngemva kwalokho, sisebenzisa ubudlelwano phakathi kwe-pH ne-pOH:

\[ \text{pH} + \text{pOH} = 14 \]

\[ \umbhalo{pH} + 3,87 = 14 \]

\[ \text{pH} \cishe 10,13 \]

Ngakho-ke, i-pH yesisombululo se-ammonia esingu-0,01 M cishe ingu-10,13.

Isiphetho

Ekufundweni kwe-pH, kubalulekile ukuqonda umehluko phakathi kwama-asidi aqinile nabuthakathaka kanye nezisekelo, nokuthi ngayinye ihlukana kanjani nesisombululo. Lokhu kuthinta ngqo indlela esibala ngayo i-pH yesisombululo esithile. Ukubala i-pH kuhilela ukusetshenziswa kwama-logarithms kanye nezimiso zamakhemikhali eziyisisekelo. Ukuqonda le mibono kungasisiza ezindleleni ezahlukahlukene zansuku zonke zokusebenzisa ikhemistri kanye nebhayoloji.

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