30. a. Al(H 2 O) 6 + H 2 O Co(H 2 O) 5 (OH) 2+ + H 3 O + acid base conjugate base conjugate acid
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- Horatio Morgan
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1 Chpter 14 : xx,3,40,4,xx,xx,47,50,54,55,xx,64,xx,83,85,91,93,95,10,11,134,138 xx.. HC H 3 O (q) H O(l) C H 3 O (q) H 3 O (q) = [H O ][C H O ] 3 3 [HC H O ] 3 b. Co(H O) 6 3 (q) H O(l) Co(H O) 5 (OH) (q) H 3 O (q) [H3O ][Co(HO) 5(OH) ] = 3 [Co(HO) 6 ] c. CH 3 NH 3 (q) H O(l) CH 3 NH (q) H 3 O (q) [H O ][CH NH ] 3 3 = [CH3NH 3 ] Al(H O) 6 H O Co(H O) 5 (OH) H 3 O cid bse conjugte bse conjugte cid b. HONH 3 H O HONH H 3 O cid bse conjugte bse conjugte cid c. HOCl C 6 H 5 NH OCl C 6 H 5 NH 3 cid bse conjugte bse conjugte cid 38. [H 3 O ][OH ] = 1.0 x ;. b. c. d. [H O ] 3 [H O ] 3 = 1.0 x x 10 [OH ] x 10 [OH ] = = =.8 x 10 M bsic x x 10 [H3O ] = 9 [OH ] = 9.7 x 10 = x 10 M cidic x x 10 [H3O ] = = = 3 [OH ]. x x x 10 [OH ] 1.0 x x 10 M bsic = = = 1.0 x 10 M neutrl 7 [H O ]
2 40.. t 40 o C: H O(l) H 3 O (q) OH (q) H O H 3 O OH initil 0 0 equilibrium =.9 x 10 = [H O ][OH ] = x x = 1.71 x 10 7 M = [H 3 O ] = [OH ] 14 3 b. ph = log[h 3 O ] = log(1.71 x 10 7 ) = c. [H 3 O ][OH ] =.9 x ; [H O ] 3 =.9 x 10 [OH ] x 10.9 x [H3O ] = = =.9 x 10 M [OH ] 0.10 ph = log[h 3 O ] = log(.9 x ) = xx x x 10 [OH ] [H3O ] = = =.8 x 10 M ph = log[h 3 O ] = log(.8 x ) = poh = log[oh ] = log(3.6) = 0.56 b. 1.0 x x 10 [OH ] 9.7 x [H3O ] = = = 1.0 x 10 M 9 ph = log[h 3 O ] = log(1.0 x 10 6 ) = 6.00 (5.99 if use ll digits bove) poh = log[oh ] = log(9.7 x 10 9 ) = 8.01 c. 1.0 x x 10 [OH ]. x [H3O ] = = = 4.5 x 10 M 3 ph = log[h 3 O ] = log(4.5 x 10 1 ) = poh = log[oh ] = log(. x 10 3 ) =.66 d. 1.0 x x 10 [OH ] 1.0 x [H3O ] = = = 1.0 x 10 M 7 ph = log[h 3 O ] = log(1.0 x 10 7 ) = 7.00 poh = log[oh ] = log(1.0 x 10 7 ) = 7.00
3 xx. ph = 6.77 ph poh = p = 14.00; poh = ph poh = = 7.3 [H 3 O ] = 10 ph = = 1.7 x 10 7 M [OH ] = 10 poh = = 5.9 x 10 8 M or x x 10 [OH ] = = = 5.9 x 10 8 M 7 [H O ] 1.7 x HClO 4 H O H 3 O ClO 4 (strong cid, goes to completion) Species in solution: H 3 O nd ClO 4 [H 3 O ] = [HClO 4 ] = 0.50 M ph = log[h 3 O ] = log(0.50) = 0.60 b. HNO 3 H O H 3 O NO 3 (strong cid, goes to completion) Species in solution: H 3 O nd NO 3 [H 3 O ] = [HNO 3 ] = 0.50 M ph = log[h 3 O ] = log(0.50) = ml of 5.00 M HCl SA [H 3 O ] = [HCl] = 5.00 M 30.0 ml of 8.00 M HNO 3 SA [H 3 O ] = [HNO 3 ] = 8.00 M Finl volume = 1.00 L 5.00 mole H O 8.00 mole H O x L L L 1.00 L 3 3 ph = log[h 3 O ] = log(0.690) = x L = M H 3 O ph poh = p = 14.00; poh = = [OH ] = 10 poh = = 1.45 x M
4 54.. Wek cid, HOC 6 H 5 in solution HOC 6 H 5 (q) H O(l) H 3 O (q) OC 6 H 5 (q) HOC 6 H 5 H O H 3 O OC 6 H 5 initil 0.50 M ~0 0 x equilibrium 0.50 x 10 [H3O ][OC6H 5 ] (x)(x) x = 1.6 x 10 = = = [HOC H ] (0.50 x) 0.50 x 6 5 If you ssume tht x << 0.50, then 0.50 x x x x = 4.0 x x = 6.3 x 10 6 M = [H 3 O ] (ssumption good) ph = log[h 3 O ] = 5.0 b. Wek cid, HCN in solution HCN(q) H O(l) H 3 O (q) CN (q) HCN H O H 3 O CN initil 0.50 M ~0 0 x equilibrium 0.50 x [H O ][CN ] (x)(x) x [HCN] (0.50 x) 0.50 x 10 3 = = = = 6. x 10 If you ssume tht x << 0.50, then 0.50 x x x 0.50 x = 1.6 x x = 1. x 10 5 M = [H 3 O ] (ssumption good) ph = log[h 3 O ] = 4.90
5 55. [HC H 3 O ] = 1.05 g HCH3O 1 mole HCH3O 0.0 ml HCH3O ml 6.06 g HC H O 0.50 L 3 = 1.40 M HC H 3 O (q) H O(l) H 3 O (q) C H 3 O (q) HC H 3 O H O H 3 O C H 3 O initil 1.40 M ~0 0 x equilibrium 1.40 x 5 [H3O ][CH3O ] (x)(x) x = 1.8 x 10 = = = [HC H O ] (1.40 x) 1.40 x 3 If you ssume tht x << 1.40, then 1.40 x x x 10 5 x =.5 x 10 5 x = 5.0 x 10 3 M = [H 3 O ] (ssumption good) ph = log[h 3 O ] =.30 xx. HIO 3 (q) H O(l) H 3 O (q) IO 3 (q) HIO 3 H O H 3 O IO 3 initil 0.0 M ~0 0 x equilibrium 0.0 x [H3O ][IO 3] (x)(x) x = 0.17 = = = [HIO ] (0.0 x) 0.0 x 3 If you ssume tht x << 0.0, then 0.0 x x
6 x = x = 0.18 M = [H 3 O ] (ssumption NOT good!) If you do not mke the ssumption, solving the qudrtic: x x C HA = x 0.17x = 0 x = 0.1 M nd 0.30 M ph = log[h 3 O ] = HNO 3 100% dissocition (by definition strong cid). b. Wek cid, HNO in solution HNO (q) H O(l) H 3 O (q) NO (q) HNO H O H 3 O NO initil 0.0 M ~0 0 x equilibrium 0.0 x 4 [H3O ][NO ] (x)(x) x = 4.0 x 10 = = = [HNO ] (0.0 x) 0.0 x If you ssume tht x << 0.0, then 0.0 x x x 10 4 x = 8.0 x 10 3 x = 8.9 x 10 5 M = [H 3 O ] (ssumption good) % dissocition = x 10 M x 100 = 0.0 M 4.4 %
7 c. Wek cid, HOC 6 H 5 in solution HOC 6 H 5 (q) H O(l) H 3 O (q) OC 6 H 5 (q) HOC 6 H 5 H O H 3 O OC 6 H 5 initil 0.0 M ~0 0 x equilibrium 0.0 x 10 [H3O ][OC6H 5 ] (x)(x) x = 1.6 x 10 = = = [HOC H ] (0.0 x) 0.0 x 6 5 If you ssume tht x << 0.0, then 0.0 x x x x = 3. x x = 5.7 x 10 6 M = [H 3 O ] (ssumption good) % dissocition = x 10 M x 100 = 0.0 M.8 x 10 3 % d. % dissocition increses ith for sme initil concentrtion. xx.. Sr(OH) Sr OH strong bse stoichiometric initil M 0 ~0 finl M (0.006 M) [OH ] = M poh = log[oh ] = 1.91; ph = poh = 1.09 b. [OH ] = (0.75 M) poh = log[oh ] = 0.18; ph = poh = c. [OH ] = (5.0 x M) poh = log[oh ] = 9.00; ph = poh = 5.00!! This cnnot be correct becuse this suggests tht dding bse to ter ill give n cidic ph. The problem is tht the 1.0 x 10 7 M OH from ter is not insignificnt in this cse. The ph ould be pproximtely 7.00.
8 83. NH NH (q) H O(l) OH (q) NH NH 3 (q) NH NH H O OH NH NH 3 initil.0 M ~0 0 x equilibrium.0 x 6 [OH ][NH NH 3 ] (x)(x) x b = 3.0 x 10 = = = [NH NH ] (.0 x).0 x If you ssume tht x <<.0, then.0 x.0.0 x x 10 6 x = 6.0 x 10 6 x =.4 x 10 3 M = [OH ] (ssumption good) poh = log[oh ] =.61 ph = poh = [H 3 O ] = = 4.1 x 10 1 M [OH ] =.4 x 10 3 M [NH NH ] =.0 M.4 x 10 3 M =.0 M [NH NH 3 ] =.4 x 10 3 M 85.. C 6 H 5 NH (q) H O(l) OH (q) C 6 H 5 NH 3 (q) C 6 H 5 NH H O OH C 6 H 5 NH 3 initil 0.0 M ~0 0 x equilibrium 0.0 x 10 [OH ][C6H5NH 3 ] (x)(x) x b = 3.8 x 10 = = = [C H NH ] (0.0 x) 0.0 x 6 5 If you ssume tht x << 0.0, then 0.0 x x x 10 10
9 x = 7.6 x x = 8.7 x 10 6 M = [OH ] (ssumption good) poh = log[oh ] = 5.06 ph = poh = 8.94 [H 3 O ] = = 1.1 x 10 9 M b. C 5 H 5 N(q) H O(l) OH (q) C 5 H 5 NH (q) C 5 H 5 N H O OH C 5 H 5 NH initil 0.0 M ~0 0 x equilibrium 0.0 x 9 [OH ][C5H5NH ] (x)(x) x b = 1.7 x 10 = = = [C H N] (0.0 x) 0.0 x 5 5 If you ssume tht x << 0.0, then 0.0 x x x 10 9 x = 8.5 x x = 1.8 x 10 5 M = [OH ] (ssumption good) poh = log[oh ] = 4.73 ph = poh = 9.7 [H 3 O ] = = 5.4 x M 91. C 4 H 8 NH(q) H O(l) OH (q) C 4 H 8 NH (q) ph = 10.8; poh = ph = 3.18 [OH ] = = 6.6 x 10 4 M C 4 H 8 NH H O OH C 4 H 8 NH initil M ~0 0 x equilibrium x = M x = 6.6 x 10 4 M x = 6.6 x 10 4 M [OH ][C H NH ] (6.6 x 10 ) = = = 1.3 x b 4 [C4H8NH] (3.4 x 10 )
10 93. 1 H 3 C 6 H 5 O 7 H O H C 6 H 5 O 7 H 3 O H C 6 H 5 O 7 H O HC 6 H 5 O 7 H 3 O 3 HC 6 H 5 O 7 H O C 6 H 5 O 7 3 H 3 O 95. Use 1 much lrger thn the other. H 3 AsO 4 (q) H O(l) H 3 O (q) H AsO 4 (q) H 3 AsO 4 H O H 3 O H AsO 4 initil 0.0 M ~0 0 x equilibrium 0.0 x 3 [H3O ][HAsO 4] (x)(x) x 1 = 5 x 10 = = = [H AsO ] (0.0 x) 0.0 x 3 4 Solving the qudrtic: x x C HA = x 5 x 10 3 x 0.01 = 0 x = [H 3 O ] = 0.03 M [OH ] x x 10 = = = [H O ] x 10 M [H 3 AsO 4 ] = 0.0 M 0.09 M = 0. M [H AsO 4 ] = 0.03 M [H O ][HAsO ] (0.03)(x) = 8 x 10 = = (0.03) [HAsO 4 ] x = [HAsO 4 ] = 8 x 10 8 M [H O ][AsO ] (0.03)(x) [HAsO ] (8 x 10 ) = = = x 10 x = [AsO 4 3 ] = x M
11 10. NH 3 H O NH 4 OH b = 1.8 x 10 5 NH 4 H O NH 3 H 3 O 1.0 x 10 = = = 5.6 x b 1.8 x 10 CH 3 NH H O CH 3 NH 3 OH b = 4.4 x 10 4 CH 3 NH 3 H O CH 3 NH H 3 O 1.0 x 10 = = =.8 x b 4.38 x 10 The stronger cid hs the lrgest NH 4. xxx.. NO (q) (q) NO (q) ( not n cid or bse) NO (q) H O(l) HNO (q) OH (q) NO H O HNO OH initil 0.1 M 0 ~0 x equilibrium 0.1 x x b = for conjugte cid/bse for nitrous cid (HNO ) is 4.0 x x 10 [OH ][HNO ] (x)(x) x.5 x 10 (0.1 x) 0.1 x 14 = 11 b x 10 = = [NO ] = = If you ssume tht x << 0.1, then 0.1 x x x x = 3.0 x 10 1 x = 1.7 x 10 6 M = [OH ] (ssumption good) poh = log[oh ] = 5.76 ph = poh = 8.3
12 b. NOCl(q) N (q) OCl (q) (N not n cid or bse) OCl (q) H O(l) HOCl(q) OH (q) OCl H O HOCl OH initil 0.45 M 0 ~0 x equilibrium 0.45 x x b = for conjugte cid/bse for HOCl is 3.5 x x 10 7 [OH ][HOCl] (x)(x) x = b.8 x x 10 = = [OCl ] = (0.45 x) = 0.45 x If you ssume tht x << 0.45, then 0.45 x x x 10 7 x = 1.3 x 10 7 x = 3.6 x 10 4 M = [OH ] (ssumption good) poh = log[oh ] = 3.44 ph = poh = c. NH 4 ClO 4 (q) NH 4 (q) ClO 4 (q) (ClO 4 conj. bse SA) NH 4 (q) H O(l) NH 3 (q) H 3 O (q) NH 4 H O NH 3 H 3 O initil 0.40 M 0 ~0 x equilibrium 0.40 x x b = for conjugte cid/bse b for NH 3 is 1.8 x x 10 [H O ][NH ] (x)(x) x 5.6 x 10 (0.40 x) 0.40 x = = = = = x 10 [NH 4 ] If you ssume tht x << 0.40, then 0.40 x 0.40
13 0.40 x x x =. x x = 1.5 x 10 5 M = [H 3 O ] (ssumption good) ph = log[h 3 O ] = Cl neutrl not n cid or bse, Cl is the conjugte bse of strong cid. b. NH 4 C H 3 O NH 4 C H 3 O NH 4 C H 3 O conj. cid of NH 3 conj. bse of cetic cid NH 4 : C H 3 O : 1.0 x 10 = = = 5.6 x b 1.8 x x 10 = = = 5.6 x b x 10 As strong n cid s bse neutrl. c. CH 3 NH 3 Cl CH 3 NH 3 Cl CH 3 NH 3 conj. cid of CH 3 NH Cl conj. bse of SA CH 3 NH 3 : 1.0 x 10 = = =.8 x cidic 14 4 b 4.38 x 10 d. F F not n cid or bse conj. bse of ek cid HF F : 1.0 x 10 = = = 1.4 x bsic 14 b 4 7. x 10 e. NH 4 F NH 4 F conj. cid of NH 3 conj. bse of HF
14 NH 4 : F : 1.0 x 10 = = = 5.6 x b 1.8 x x 10 = = = 1.4 x b 4 7. x 10 cidic cid stronger thn the bse f. CH 3 NH 3 CN CH 3 NH 3 conj. cid of CH 3 NH CN conj. bse of HCN CH 3 NH 3 : CN : 1.0 x 10 = = =.8 x b 4.38 x x 10 = = = 1.6 x b x 10 bsic bse stronger thn the cid HI < HF < NF < NI SA WA CB of WA CB of SA b. HBr < NH 4 Br < Br < NH 3 SA CA of WB CB of SA WB. HNO 3 < C 6 H 5 NH 3 < C 6 H 5 OH < NNO 3 < C 6 H 5 NH < SA CA of WB WA CB of SA WB C 6 H 5 O < CB of WA NOH SB 14.. NH 3 H 3 O NH 4 H O 1 =? The reverse is of the CA of WB: NH 4 H O NH 3 H 3 O 1.0 x 10 = = = 5.6 x b 1.8 x = = = 1.8 x x 10
15 b. NO H 3 O HNO H O 1 =? The reverse is of the WA: HNO H O NO H 3 O = 4.0 x = = =.5 x x 10 c. NH 4 OH NH 3 H O 1 =? The reverse is b of the WB: NH 3 H O NH 4 OH b = 1.8 x = = = 5.6 x b 1.8 x 10 d. HNO OH NO H O 1 =? The reverse is b of the CB of WA: NO H O HNO OH 1.0 x 10 = = =.5 x b x = = = 4.0 x b.5 x 10
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