Capsule d’études secondaires 2020 CHM 514 La constante d'acidité Prob. 6 Corrigé Par S. Lavallée 14. a) b) 𝑝𝐻 = − log [𝐻 ] = − log [2.8𝑥10 ] = 7.6 𝑝𝐻 = − log [𝐻 ] = − log [3.6𝑥10 ] = 7.4 15. [𝐻 ] = 10 16. 1 𝑚𝑜𝑙𝑒 𝐻𝐶𝑙 𝑥 𝑚𝑜𝑙𝑒 𝐻𝐶𝑙 1 𝑚𝑜𝑙𝑒 𝐻𝐶𝑙 ∙ 2.00 𝑔 = →𝑥= = 5.48𝑥10 𝑚𝑜𝑙𝑒 36.5 𝑔 2.00 𝑔 36.5 𝑔 𝑐= = 10 . = [2.5𝑥10 ] 𝑛 5.48𝑥10 𝑚𝑜𝑙𝑒 = = [2.19𝑥10 ] 𝑣 2.5𝐿 𝑝𝐻 = − log [𝐻 ] = − log [2.19𝑥10 ] = 1.7 17. 18. 19. 20. a) b) c) d) 𝐻𝑁𝑂 ( 𝐻 𝑆( 𝐻𝑂𝐶𝑙 ( 𝐻𝑆𝑂 ( ) + + + + a) b) c) d) 𝐶𝐻 𝑁𝐻 ( 𝐶 𝐻 𝑁( ) (𝐶𝐻 ) 𝑁( 𝐻𝑆𝑒( ) + + + + a) 𝐻 𝑆𝑂 A + b) 𝑁𝐻 𝑂𝐻( B c) 𝐻 𝑃𝑂 A d) 𝐻𝐶𝑂 ( B a) b) c) d) 𝐻𝐵𝑟( ) 𝑁𝐻 𝑁𝐻 ( ) 𝐻𝑁𝑂 ( ) 𝐶 𝐻 𝑁𝐻 ( ) ) ) ( ( ) ) ) ) ) 𝐻 𝐻 𝐻 𝐻 𝑂( ) 𝑂( ) 𝑂( ) 𝑂( ) 𝐻 𝐻 𝐻 𝐻 𝐻 𝐻 𝐻 𝐻 𝑂( ) 𝑂( ) 𝑂( ) 𝑂( ) 𝐻 𝐶𝑂 A ( + 𝐻 𝑂( ) B + 𝐻𝐶𝑂𝑂𝐻( A + + + + 𝐻 𝐻 𝐻 𝐻 ) ) ) ) + + + + 𝐶𝐻 𝑁𝐻 ( 𝐶 𝐻 𝑁𝐻( (𝐶𝐻 ) 𝑁𝐻( 𝐻 𝑆𝑒( ) 𝑁𝑂 ( 𝑂𝐶𝑙( 𝐻𝑆( 𝑆𝑂 ( ) ) ) + + + + 𝐻𝑆𝑂 ( BC 𝐻𝐶 𝑂 ( BC 𝐻 𝑂( AC ) 𝐻𝐶𝑂𝑂( BC 𝑂( ) 𝑂( ) 𝑂( ) 𝑂( ) 𝐻 𝑂( 𝑁𝐻 𝑁𝐻 𝐻 𝑂( 𝐶 𝐻 𝑁𝐻 (𝐶𝐻 ) 𝑁𝐻( B + 𝑂( 𝑂( 𝑂( 𝑂( ) ) 𝑂𝐻( 𝑂𝐻( 𝑂𝐻( 𝑂𝐻( ) ) ) ) ) ) + 𝑁𝐻 𝑂𝐻( AC ) ) ) ) ) ) ( ) + (𝐶𝐻 ) 𝑁𝐻( AC ) ( ) ) + 𝐻 𝑃𝑂 ( BC + 𝐻 𝐶𝑂 ( AC + 𝐵𝑟( ) + 𝑂𝐻( ) + 𝑁𝑂 ( ) + 𝑂𝐻( ) ) ) ) ) 21. 𝑝𝑂𝐻 = − log [𝑂𝐻 ] = − log [2.3𝑥10 ] = 4.6 𝑝𝐻 + 𝑝𝑂𝐻 = 14 → 𝑝𝐻 = 14 − 𝑝𝑂𝐻 = 14 − 4.6 = 9.4 22. 𝑝𝐻 + 𝑝𝑂𝐻 = 14 → 𝑝𝑂𝐻 = 14 − 𝑝𝐻 = 14 − 3.7 = 10.3 [𝑂𝐻 ] = 10 = 10 . = 5.0𝑥10 23. a) b) c) d) 𝑝𝐻 = − log [𝐻 ] = − log [7.8𝑥10 ] = 7.1 𝑝𝑂𝐻 = − log [𝑂𝐻 ] = − log [0.0001] = 4 → 𝑝𝐻 = 14 − 𝑝𝑂𝐻 = 14 − 4 = 10 𝑝𝐻 = − log [𝐻 ] = − log [0.0065] = 2.2 𝑝𝑂𝐻 = − log [𝑂𝐻 ] = − log [0.3] = 5.2 → 𝑝𝐻 = 14 − 5.2 = 14 − 4.6 = 8.8 c<a<d<b 24. D R É 𝐾 = + 𝟏 𝑯𝟐 𝑶(𝒍) - 𝟏 𝑵𝑯𝟑 (𝒂𝒒) [0.25] - [𝑥] [0.25 − 𝑥] 𝑁𝐻 ( ) 𝑁𝐻 ∙ 𝑂𝐻( ( ) = ) 𝟏 𝑵𝑯𝟒 (𝒂𝒒) [0] + [𝑥] [𝑥] + 𝟏 𝑶𝑯(𝒂𝒒) [0] + [𝑥] [𝑥] [𝑥] ∙ [𝑥] 𝑥 = = 1.79𝑥10 [0.25 − 𝑥] 0.25 − 𝑥 𝑥 + 1.79𝑥10 𝑥 − 4.48𝑥10 𝑥= ± (1.79𝑥10 ) − (4 ∙ 1 ∙ −4.48𝑥10 ) → 2∙1 −𝑏 ± √𝑏 − 4𝑎𝑐 −1.79𝑥10 = 2𝑎 𝑥 = −[0.021] 𝑟𝑒𝑗𝑒𝑡é, 𝑥 = [0.021] 𝑂𝐻( )É = [0.021] → 𝑝𝑂𝐻 = − log [0.021] = 1.68 𝑝𝐻 + 𝑝𝑂𝐻 = 14 → 𝑝𝐻 = 14 − 𝑝𝑂𝐻 = 14 − 1.68 = 1.23 D R É 𝐾 = + 𝟏 𝑯𝟐 𝑶(𝒍 - 𝟏 (𝑪𝟐 𝑯𝟓 )𝟐 𝑵𝑯(𝒂𝒒) [0.25] - [𝑥] [0.25 − 𝑥] (𝐶 𝐻 ) 𝑁𝐻 ( ) ∙ 𝑂𝐻( (𝐶 𝐻 ) 𝑁𝐻( ) 𝑥 + 3.09𝑥10 𝑥 − 7.76𝑥10 ) = (𝑪𝟐 𝑯𝟓 )𝟐 𝑵𝑯𝟐 (𝒂𝒒) [0] + [𝑥] [𝑥] + [𝑥] ∙ [𝑥] 𝑥 = = 3.09𝑥10 [0.25 − 𝑥] 0.25 − 𝑥 𝟏 𝑶𝑯(𝒂𝒒) [0] + [𝑥] [𝑥] 𝑥= −𝑏 ± √𝑏 − 4𝑎𝑐 −3.09𝑥10 = 2𝑎 ± (3.09𝑥10 ) − (4 ∙ 1 ∙ −7.76𝑥10 ) → 2∙1 𝑥 = −[0.0089] 𝑟𝑒𝑗𝑒𝑡é, 𝑥 = [0.0086] 𝑂𝐻( )É = [0.0086] → 𝑝𝑂𝐻 = − log [0.0086] = 2.07 𝑝𝐻 + 𝑝𝑂𝐻 = 14 → 𝑝𝐻 = 14 − 𝑝𝑂𝐻 = 14 − 2.07 = 11.9 Le (𝐶 𝐻 ) 𝑁𝐻( 25. 𝐾 = ) possède le plus grand pH. [1𝑥10 ][1𝑥10 ] ∙ = 1𝑥10 [0.1 − 1𝑥10 ] L'acide ayant un Ka est le H2S. 26. 𝟏 𝑪𝟓 𝑯𝟓 𝑪𝑶𝑶𝑯(𝒂𝒒) + 𝟏 𝑯𝟐 𝑶(𝒍) [0.012] D R - [𝑥] [0.012 − 𝑥] É 𝐾 = 𝐶 𝐻 𝐶𝑂𝑂( ) ∙ 𝐻 𝑂( 𝐶 𝐻 𝐶𝑂𝑂𝐻( ) = ) + 𝟏 𝑪𝟓 𝑯𝟓 𝑪𝑶𝑶(𝒂𝒒) [0] + [𝑥] [𝑥] 𝟏 𝑯𝟑 𝑶(𝒂𝒒) [0] + [𝑥] [𝑥] [𝑥] ∙ [𝑥] 𝑥 = = 6.4𝑥10 [0.012 − 𝑥] 0.012 − 𝑥 𝑥 + 6.4𝑥10 𝑥 − 7.68𝑥10 𝑥= −𝑏 ± √𝑏 − 4𝑎𝑐 −6.4𝑥10 = 2𝑎 ± (6.4𝑥10 ) − (4 ∙ 1 ∙ 7.68𝑥10 ) → 2∙1 𝑥 = −[0.00091] 𝑟𝑒𝑗𝑒𝑡é, 𝑥 = [0.00084] 𝑝𝐻 = − log [𝐻 ] = − log [0.00084] = 3.1 27. 𝑝𝐻 + 𝑝𝑂𝐻 = 14 → 𝑝𝑂𝐻 = 14 − 𝑝𝐻 = 14 − 8.2 = 5.8 [𝑂𝐻 ] = 10 = 10 . = 1.58𝑥10 D R É 𝑹𝑵𝑯(𝒂𝒒) [0.2] - [1.58𝑥10 ] [0.2 − 1.58𝑥10 ] + 𝟏 𝑯𝟐 𝑶(𝒍) - 𝑹𝑵𝑯𝟐 (𝒂𝒒) [0] + [1.58𝑥10 ] [1.58𝑥10 ] + 𝟏 𝑶𝑯(𝒂𝒒) [0] + [1.58𝑥10 ] [1.58𝑥10 ] 𝐾 = 28. a) 𝑅𝑁𝐻+ 2 (𝑎𝑞) ∙ 𝑂𝐻( ) = 𝑅𝑁𝐻(𝑎𝑞) Chang. Réac. Rép. [1.58𝑥10−6 ] ∙ [1.58𝑥10−6 ] = 1.26𝑥10 [0.20 − 1.58𝑥10−6 ] + 𝟏 𝑯𝟐 𝑶(𝒍) - 𝟏 𝑯𝑵𝑶𝟐 (𝒂𝒒) 𝟏 𝑯𝟑 𝑶(𝒂𝒒) + 𝟏 𝑵𝑶𝟐 (𝒂𝒒) Si on ajoute du 𝑁𝑂 ( ) on favorise la réaction inverse. et on descend la concentration de 𝐻 𝑂( ) donc le pH augmente (plus basique). b) Chang. Réac. Rép. 𝟏 𝑯𝑵𝑶𝟐 (𝒂𝒒) Chang. Réac. Rép. 𝟏 𝑯𝟑 𝑶(𝒂𝒒) + 𝟏 𝑵𝑶𝟐 (𝒂𝒒) - Si on ajoute du 𝐻𝑁𝑂 ( concentration de 𝐻 𝑂( c) + 𝟏 𝑯𝟐 𝑶(𝒍) on favorise la réaction inverse. et on descend la ) donc le pH augmente (plus basique). ) 𝟏 𝑯𝑵𝑶𝟐 (𝒂𝒒) + 𝟏 𝑯𝟐 𝑶(𝒍) 𝟏 𝑯𝟑 𝑶(𝒂𝒒) + 𝟏 𝑵𝑶𝟐 (𝒂𝒒) - Si on ajoute du 𝑂𝐻( ) on descend la concentration du 𝐻 𝑂( ) et le système tant à le reformer en augmentant sa concentration car on favorise la réaction directe. Le pH diminue (devient plus acide). 29. [𝐻 ] = 10 = 10 . = [5.01𝑥10 ] 5.01𝑥10 𝑚𝑜𝑙𝑒 𝑥 𝑚𝑜𝑙𝑒 5.01𝑥10 𝑚𝑜𝑙𝑒 ∙ 100 𝑚𝑙 = →𝑥= = 5.01𝑥10 1000 𝑚𝑙 100 𝑚𝑙 1000 𝑚𝑙 5.01𝑥10 𝑚𝑜𝑙𝑒 𝑥 𝑚𝑜𝑙𝑒 5.01𝑥10 𝑚𝑜𝑙𝑒 ∙ 95 % = →𝑥= = 4.76𝑥10 100 % 95 % 100 % 30. D R É 𝑪𝟔 𝑯𝟓 𝑵𝑯𝟐 (𝒂𝒒) [0.012] - [𝑥] [0.012 − 𝑥] + 𝟏 𝑯𝟐 𝑶(𝒍) - 𝑪𝟔 𝑯𝟓 𝑵𝑯𝟑 (𝒂𝒒) + 𝟏 𝑶𝑯(𝒂𝒒) [0] [0] + [𝑥] + [𝑥] [𝑥] [𝑥] 𝑚𝑜𝑙𝑒 𝑚𝑜𝑙𝑒 𝐾 = 𝐶6 𝐻5 𝑁𝐻+ 3 (𝑎𝑞) ∙ 𝑂𝐻( 𝐶6 𝐻5 𝑁𝐻2 (𝑎𝑞) ) = [𝑥] ∙ [𝑥] 𝑥 = = 3.8𝑥10 [0.012 − 𝑥] 0.012 − 𝑥 𝑥 + 3.8𝑥10 𝑥 − 4.56𝑥10 𝑥= −𝑏 ± √𝑏 − 4𝑎𝑐 −3.8𝑥10 = 2𝑎 ± (3.8𝑥10 ) − (4 ∙ 1 ∙ −4.56𝑥10 2∙1 𝑥 = −[2.14𝑥10 ] 𝑟𝑒𝑗𝑒𝑡é, 𝑥 = [2.14𝑥10 ] 𝑂𝐻( )É = [2.14𝑥10 ] → 𝑝𝑂𝐻 = − log [2.14𝑥10 ] = 5.7 𝑝𝐻 + 𝑝𝑂𝐻 = 14 → 𝑝𝐻 = 14 − 𝑝𝑂𝐻 = 14 − 5.7 = 8.3 ) →