Embed Size (px)
DESCRIPTION
yfuicuccyt
Citation preview
Columna1 Columna2 Columna3 Columna4 Columna5Ml NaOH pH Gruesa
0 2.360.5 2.38
1 2.41.5 2.44
2 2.472.5 2.52
3 2.563.5 2.62
4 2.684.5 2.77
5 2.865.5 2.98
6 3.196.5 3.65
7 5.367.5 5.99
8 6.248.5 6.45
9 6.69.5 6.7410 6.86
10.5 6.9911 7.1
11.5 7.2412 7.39
12.5 7.5413 7.77
13.5 8.1214 8.95
14.5 10.3415 10.68
15.5 10.8916 11.04
16.5 11.1417 11.24
17.5 11.3118 11.37
18.5 11.4219 11.46
19.5 11.520 11.54
20.5 11.5721 11.6
21.5 11.6222 11.65
22.5 11.67
23 11.6923.5 11.7
24 11.7224.5 11.73
25 11.7525.5 11.76
26 11.7726.5 11.78
27 11.827.5 11.81
28 11.8228.5 11.84
29 11.8529.5 11.87
30 11.8830.5 11.89
31 11.8931.5 11.89
32 11.932.5 11.9
33 11.9133.5 11.92
34 11.9334.5 11.93
35 11.9335.5 11.94
36 11.9536.5 11.95
37 11.9637.5 11.96
38 11.9738.5 11.98
39 11.9839.5 11.98
40 11.9940.5 12
Columna6 Columna7 Columna8 Columna9 Columna10vol NaoH pH titulación fina primera derivada
0 2.38 dVol dpH0.5 2.41 0.25 0.03
1 2.45 0.75 0.041.5 2.47 1.25 0.02
2 2.5 1.75 0.032.5 2.54 2.25 0.04
3 2.59 2.75 0.053.5 2.64 3.25 0.05
4 2.71 3.75 0.074.5 2.8 4.25 0.094.7 2.84 4.6 0.044.9 2.88 4.8 0.045.1 2.93 5 0.055.3 2.98 5.2 0.055.5 3.05 5.4 0.075.7 3.13 5.6 0.085.9 3.23 5.8 0.16.1 3.33 6 0.16.3 3.56 6.2 0.236.5 3.95 6.4 0.396.7 5.15 6.6 1.26.9 5.46 6.8 0.317.1 5.75 7 0.297.3 5.87 7.2 0.127.5 6.07 7.4 0.27.7 6.16 7.6 0.097.9 6.23 7.8 0.078.1 6.32 8 0.098.3 6.41 8.2 0.098.5 6.47 8.4 0.06
9 6.61 8.75 0.149.5 6.75 9.25 0.1410 6.89 9.75 0.14
10.5 7.02 10.25 0.1311 7.13 10.75 0.11
11.5 7.25 11.25 0.1212 7.41 11.75 0.16
12.5 7.58 12.25 0.1712.7 7.63 12.6 0.0512.9 7.74 12.8 0.1113.1 7.83 13 0.0913.3 7.94 13.2 0.1113.5 8.14 13.4 0.213.7 8.4 13.6 0.2613.9 8.67 13.8 0.2714.1 9.18 14 0.51
14.3 9.6 14.2 0.4214.5 9.98 14.4 0.3814.7 10.26 14.6 0.2814.9 10.43 14.8 0.1715.1 10.58 15 0.1515.3 10.68 15.2 0.115.5 10.83 15.4 0.1515.7 10.88 15.6 0.05
16 10.96 15.85 0.0816.5 11.1 16.25 0.14
17 11.19 16.75 0.0917.5 11.25 17.25 0.06
18 11.32 17.75 0.0718.5 11.37 18.25 0.05
19 11.41 18.75 0.0419.5 11.46 19.25 0.05
20 11.49 19.75 0.0320.5 11.52 20.25 0.03
21 11.54 20.75 0.0221.5 11.59 21.25 0.05
22 11.62 21.75 0.0322.5 11.65 22.25 0.03
23 11.67 22.75 0.0223.5 11.69 23.25 0.02
24 11.71 23.75 0.0224.5 11.72 24.25 0.01
25 11.74 24.75 0.0225.5 11.75 25.25 0.01
26 11.76 25.75 0.0126.5 11.77 26.25 0.01
27 11.78 26.75 0.0127.5 11.8 27.25 0.02
28 11.81 27.75 0.0128.5 11.83 28.25 0.02
29 11.85 28.75 0.0229.5 11.86 29.25 0.01
30 11.87 29.75 0.0130.5 11.88 30.25 0.01
31 11.89 30.75 0.0131.5 11.9 31.25 0.01
32 11.9 31.75 032.5 11.91 32.25 0.01
33 11.91 32.75 033.5 11.92 33.25 0.01
34 11.92 33.75 034.5 11.93 34.25 0.01
35 11.93 34.75 035.5 11.94 35.25 0.01
36 11.94 35.75 036.5 11.94 36.25 0
37 11.96 36.75 0.0237.5 11.97 37.25 0.01
38 11.97 37.75 038.5 11.98 38.25 0.01
39 11.98 38.75 039.5 11.98 39.25 0
40 11.99 39.75 0.0140.5 11.99 40.25 0
41 12 40.75 0.01
Columna11 Columna12 Columna13 Columna14 Columna15Segunda derivada
dV dpH/dV volumen en el pto medio0.5 0.5 0.060.5 1 0.08 00.5 1.5 0.04 00.5 2 0.06 00.5 2.5 0.08 00.5 3 0.1 00.5 3.5 0.1 00.5 4 0.14 00.5 4.5 0.18 00.2 4.7 0.2 -0.150.2 4.9 0.2 00.2 5.1 0.25 -4.4408920985E-160.2 5.3 0.25 4.4408920985E-160.2 5.5 0.35 00.2 5.7 0.4 00.2 5.9 0.5 00.2 6.1 0.5 -4.4408920985E-160.2 6.3 1.15 4.4408920985E-160.2 6.5 1.95 00.2 6.7 6 00.2 6.9 1.55 00.2 7.1 1.45000000000001 -4.4408920985E-160.2 7.3 0.6 4.4408920985E-160.2 7.5 1 00.2 7.7 0.45 00.2 7.9 0.35 00.2 8.1 0.45 -4.4408920985E-160.2 8.3 0.45 8.881784197E-160.2 8.5 0.3 -8.881784197E-160.5 9 0.28 0.150.5 9.5 0.28 00.5 10 0.28 00.5 10.5 0.26 00.5 11 0.22 00.5 11.5 0.24 00.5 12 0.32 00.5 12.5 0.34 00.2 12.7 0.25 -0.150.2 12.9 0.55 8.881784197E-160.2 13.1 0.45 -8.881784197E-160.2 13.3 0.55 8.881784197E-160.2 13.5 1 -8.881784197E-160.2 13.7 1.3 00.2 13.9 1.34999999999999 8.881784197E-160.2 14.1 2.55000000000001 -8.881784197E-16
0.2 14.3 2.09999999999999 8.881784197E-160.2 14.5 1.90000000000001 -8.881784197E-160.2 14.7 1.4 00.2 14.9 0.85 8.881784197E-160.2 15.1 0.75 -8.881784197E-160.2 15.3 0.5 8.881784197E-160.2 15.5 0.75 -8.881784197E-160.2 15.7 0.25 00.3 16 0.26666666666667 0.050.5 16.5 0.28 0.10.5 17 0.18 00.5 17.5 0.12 00.5 18 0.14 00.5 18.5 0.1 00.5 19 0.08 00.5 19.5 0.1 00.5 20 0.06 00.5 20.5 0.06 00.5 21 0.04 00.5 21.5 0.1 00.5 22 0.06 00.5 22.5 0.06 00.5 23 0.04 00.5 23.5 0.04 00.5 24 0.04 00.5 24.5 0.02 00.5 25 0.04 00.5 25.5 0.02 00.5 26 0.02 00.5 26.5 0.02 00.5 27 0.02 00.5 27.5 0.04 00.5 28 0.02 00.5 28.5 0.04 00.5 29 0.04 00.5 29.5 0.02 00.5 30 0.02 00.5 30.5 0.02 00.5 31 0.02 00.5 31.5 0.02 00.5 32 0 00.5 32.5 0.02 00.5 33 0 00.5 33.5 0.02 00.5 34 0 00.5 34.5 0.02 00.5 35 0 00.5 35.5 0.02 0
0.5 36 0 00.5 36.5 0 00.5 37 0.04 00.5 37.5 0.02 00.5 38 0 00.5 38.5 0.02 00.5 39 0 00.5 39.5 0 00.5 40 0.02 00.5 40.5 0 00.5 41 0.02 0
Columna16 Columna17 Columna18 Columna19
volumen en el pto mediod dE/dV d Vol D2pH/dV2
0.02 0.5 0.75 0.04-0.04 0.5 1.25 -0.080.02 0.5 1.75 0.040.02 0.5 2.25 0.040.02 0.5 2.75 0.04
8.881784197E-16 0.5 3.25 1.7763568394E-150.04 0.5 3.75 0.080.04 0.5 4.25 0.080.02 0.35 4.6 0.05714285714286
0 0.2 4.8 00.05 0.2 5 0.25000000000001
-3.3306690739E-15 0.2 5.2 -1.6653345369E-140.1 0.2 5.4 0.5
0.05 0.2 5.6 0.250000000000010.1 0.2 5.8 0.5
2.22044604925E-15 0.2 6 1.11022302463E-140.65 0.2 6.2 3.24999999999999
0.8 0.2 6.4 3.999999999999984.05 0.2 6.6 20.2500000000001
-4.45 0.2 6.8 -22.2499999999999-0.09999999999999 0.2 7 -0.49999999999996-0.85000000000001 0.2 7.2 -4.25000000000004
0.4 0.2 7.4 1.99999999999999-0.55 0.2 7.6 -2.75000000000002
-0.1 0.2 7.8 -0.499999999999990.1 0.2 8 0.5
-3.9968028887E-15 0.2 8.2 -1.9984014443E-14-0.15 0.2 8.4 -0.74999999999999-0.02 0.35 8.75 -0.05714285714285
-1.7763568394E-15 0.5 9.25 -3.5527136788E-150 0.5 9.75 0
-0.02 0.5 10.25 -0.04-0.04 0.5 10.75 -0.080.02 0.5 11.25 0.040.08 0.5 11.75 0.160.02 0.5 12.25 0.04
-0.09 0.35 12.6 -0.257142857142860.3 0.2 12.8 1.49999999999999
-0.1 0.2 13 -0.499999999999990.1 0.2 13.2 0.49999999999999
0.45000000000001 0.2 13.4 2.250000000000020.3 0.2 13.6 1.5
0.04999999999999 0.2 13.8 0.249999999999931.20000000000002 0.2 14 6.00000000000011
-0.45000000000002 0.2 14.2 -2.2500000000001-0.19999999999998 0.2 14.4 -0.99999999999988-0.50000000000001 0.2 14.6 -2.50000000000005-0.55000000000001 0.2 14.8 -2.75000000000002-0.09999999999999 0.2 15 -0.49999999999996-0.25000000000001 0.2 15.2 -1.250000000000050.25000000000001 0.2 15.4 1.25000000000004
-0.5 0.2 15.6 -2.500000000000010.01666666666666 0.25 15.85 0.066666666666650.01333333333333 0.4 16.25 0.03333333333333
-0.1 0.5 16.75 -0.2-0.06 0.5 17.25 -0.120.02 0.5 17.75 0.04
-0.04 0.5 18.25 -0.08000000000001-0.02 0.5 18.75 -0.039999999999990.02 0.5 19.25 0.04
-0.04 0.5 19.75 -0.080000000000010 0.5 20.25 0
-0.02 0.5 20.75 -0.040.06 0.5 21.25 0.12
-0.04 0.5 21.75 -0.080000000000013.5527136788E-15 0.5 22.25 7.1054273576E-15
-0.02 0.5 22.75 -0.040000000000010 0.5 23.25 0
3.5527136788E-15 0.5 23.75 7.1054273576E-15-0.02 0.5 24.25 -0.040000000000010.02 0.5 24.75 0.04
-0.02 0.5 25.25 -0.040 0.5 25.75 00 0.5 26.25 00 0.5 26.75 0
0.02 0.5 27.25 0.04000000000001-0.02 0.5 27.75 -0.040000000000010.02 0.5 28.25 0.04
0 0.5 28.75 0-0.02 0.5 29.25 -0.04
0 0.5 29.75 03.5527136788E-15 0.5 30.25 7.1054273576E-15
-3.5527136788E-15 0.5 30.75 -7.1054273576E-150 0.5 31.25 0
-0.02 0.5 31.75 -0.040.02 0.5 32.25 0.04
-0.02 0.5 32.75 -0.040.02 0.5 33.25 0.04
-0.02 0.5 33.75 -0.040.02 0.5 34.25 0.04
-0.02 0.5 34.75 -0.040.02 0.5 35.25 0.04
0 5 10 15 20 25 30 35 40 45
-25
-20
-15
-10
-5
0
5
10
15
20
25
D2pH/dV2 vs Vol NaOH
-0.02 0.5 35.75 -0.040 0.5 36.25 0
0.04 0.5 36.75 0.08000000000001-0.02 0.5 37.25 -0.04000000000001-0.02 0.5 37.75 -0.040.02 0.5 38.25 0.04
-0.02 0.5 38.75 -0.040 0.5 39.25 0
0.02 0.5 39.75 0.04-0.02 0.5 40.25 -0.040.02 0.5 40.75 0.04
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Volumen NaOH V/S pH
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Ph fina vs Vol
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Volumen NaOH V/S pH
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Ph fina vs Vol
0 5 10 15 20 25 30 35 40 45
-25
-20
-15
-10
-5
0
5
10
15
20
25
D2pH/dV2 vs Vol NaOH
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Volumen NaOH V/S pH
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Ph fina vs Vol
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Volumen NaOH V/S pH
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Ph fina vs Vol
0 5 10 15 20 25 30 35 40 45
-25
-20
-15
-10
-5
0
5
10
15
20
25
D2pH/dV2 vs Vol NaOH
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Volumen NaOH V/S pH
0 5 10 15 20 25 30 35 40 450
2
4
6
8
10
12
14
Volumen NaOH V/S pH
0 5 10 15 20 25 30 35 40 450
1
2
3
4
5
6
7
dpH/dV vs Vol NaOH
0 5 10 15 20 25 30 35 40 45
-25
-20
-15
-10
-5
0
5
10
15
20
25
D2pH/dV2 vs Vol NaOH
0 5 10 15 20 25 30 35 40 450
1
2
3
4
5
6
7
dpH/dV vs Vol NaOH
vol NaOH pH titulacion gruesa vol NaOH pH titulacion fina0 2.27 0 2.29
0.5 2.28 0.5 2.31 2.29 1 2.31
1.5 2.3 1.5 2.322 2.32 2 2.34
2.5 2.34 2.5 2.363 2.36 3 2.37
3.5 2.39 3.5 2.394 2.42 4 2.42
4.5 2.46 4.5 2.445 2.49 5 2.47
5.5 2.51 5.5 2.56 2.56 6 2.55
6.5 2.6 6.5 2.587 2.65 7 2.64
7.5 2.71 7.5 2.698 2.78 8 2.76
8.5 2.98 8.2 2.819 3.1 8.4 2.85
9.5 3.25 8.6 2.910 3.61 8.8 2.94
10.5 5.59 9 2.9911 5.86 9.2 3.06
11.5 6.26 9.4 3.1412 6.48 9.6 3.22
12.5 6.62 9.8 3.3813 6.76 10 3.59
13.5 6.9 10.2 3.7814 7.04 10.4 4.77
14.5 7.24 10.6 5.6115 7.38 10.8 5.83
15.5 7.52 11 616 7.7 11.2 6.15
16.5 8.15 11.4 6.2417 9.18 11.6 6.3
17.5 10.19 11.8 6.4218 10.5 12 6.5
18.5 10.8 12.5 6.6419 10.97 13 6.8
19.5 11 13.5 6.9320 11.15 14 7.06
20.5 11.2 14.5 7.2121 11.28 15 7.38
21.5 11.35 15.5 7.5522 11.39 16 7.8
22.5 11.41 16.5 8.1823 11.46 16.7 8.9
23.5 11.5 16.9 9.124 11.52 17.1 9.23
24.5 11.57 17.3 9.825 11.58 17.5 10.13
25.5 11.6 17.7 10.3226 11.59 17.8 10.45
26.5 11.64 18 10.5527 11.65 18.5 10.84
27.5 11.67 19 10.9828 11.7 19.5 11.08
28.5 11.71 20 11.1929 11.73 20.5 11.25
29.5 11.74 21 11.3130 11.75 21.5 11.37
30.5 11.76 22 11.4131 11.77 22.5 11.45
31.5 11.78 23 11.4832 11.79 23.5 11.52
32.5 11.8 24 11.5433 11.82 24.5 11.57
33.5 11.82 25 11.5934 11.83 25.5 11.61
34.5 11.83 26 11.6235 11.84 26.5 11.65
35.5 11.85 27 11.6636 11.85 27.5 11.68
36.5 11.86 28 11.737 11.87 28.5 11.71
37.5 11.88 29 11.7338 11.89 29.5 11.73
38.5 11.89 30 11.7539 11.9 30.5 11.76
39.5 11.91 31 11.7740 11.91 31.5 11.78
40.5 11.92 32 11.7941 11.93 32.5 11.8
41.5 11.94 33 11.8242 11.94 33.5 11.82
42.5 11.95 34 11.8243 11.96 34.5 11.83
43.5 11.97 35 11.8444 11.97 35.5 11.84
44.5 11.99 36 11.8545 12 36.5 11.86
37 11.8737.5 11.88
38 11.8838.5 11.89
39 11.939.5 11.91
40 11.9140.5 11.92
41 11.9341.5 11.93
42 11.9442.5 11.95
43 11.9543.5 11.96
44 11.9744.5 11.98
45 11.9945.5 12
0 5 10 15 20 25 30 35 40 45 50
-20
-15
-10
-5
0
5
10
15
20
25 D2pH/dV2 vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 50
-20
-15
-10
-5
0
5
10
15
20
25 D2pH/dV2 vs Vol NaOH
primera derivada Segunda derivadadVol dpH dV dpH/dV volumen en el pto medio
0.25 0.01 0.5 0.5 0.02 d dE/dV0.75 0.01 0.5 1 0.02 0 8.881784E-161.25 0.01 0.5 1.5 0.02 0 -8.88178E-161.75 0.02 0.5 2 0.04 0 0.022.25 0.02 0.5 2.5 0.04 0 02.75 0.01 0.5 3 0.02 0 -0.023.25 0.02 0.5 3.5 0.04 0 0.023.75 0.03 0.5 4 0.06 0 0.024.25 0.02 0.5 4.5 0.04 0 -0.024.75 0.03 0.5 5 0.06 0 0.025.25 0.03 0.5 5.5 0.06 0 -8.88178E-165.75 0.05 0.5 6 0.1 0 0.046.25 0.03 0.5 6.5 0.06 0 -0.046.75 0.06 0.5 7 0.12 0 0.067.25 0.05 0.5 7.5 0.1 0 -0.027.75 0.07 0.5 8 0.14 0 0.04
8.1 0.05 0.2 8.2 0.25 -0.15 0.118.3 0.04 0.2 8.4 0.2 8.88178E-16 -0.058.5 0.05 0.2 8.6 0.25 -8.8818E-16 0.058.7 0.04 0.2 8.8 0.2 8.88178E-16 -0.058.9 0.05 0.2 9 0.25 -8.8818E-16 0.059.1 0.07 0.2 9.2 0.35 0 0.19.3 0.08 0.2 9.4 0.4 8.88178E-16 0.059.5 0.08 0.2 9.6 0.4 -8.8818E-16 3.552714E-159.7 0.16 0.2 9.8 0.8 8.88178E-16 0.49.9 0.21 0.2 10 1.05 -8.8818E-16 0.25
10.1 0.19 0.2 10.2 0.95 0 -0.110.3 0.99 0.2 10.4 4.95 8.88178E-16 410.5 0.84 0.2 10.6 4.2 -8.8818E-16 -0.7510.7 0.22 0.2 10.8 1.1 8.88178E-16 -3.110.9 0.17 0.2 11 0.85 -8.8818E-16 -0.2511.1 0.15 0.2 11.2 0.75 0 -0.111.3 0.09 0.2 11.4 0.45 8.88178E-16 -0.311.5 0.06 0.2 11.6 0.3 -8.8818E-16 -0.1511.7 0.12 0.2 11.8 0.6 8.88178E-16 0.311.9 0.08 0.2 12 0.4 -8.8818E-16 -0.2
12.25 0.14 0.5 12.5 0.28 0.15 -0.1212.75 0.16 0.5 13 0.32 0 0.0413.25 0.13 0.5 13.5 0.26 0 -0.0613.75 0.13 0.5 14 0.26 0 014.25 0.15 0.5 14.5 0.3 0 0.0414.75 0.17 0.5 15 0.34 0 0.0415.25 0.17 0.5 15.5 0.34 0 015.75 0.25 0.5 16 0.5 0 0.1616.25 0.38 0.5 16.5 0.76 0 0.26
16.6 0.72 0.2 16.7 3.6 -0.15 2.84
16.8 0.2 0.2 16.9 1 0 -2.617 0.13 0.2 17.1 0.65 1.77636E-15 -0.35
17.2 0.57 0.2 17.3 2.85 -1.7764E-15 2.217.4 0.33 0.2 17.5 1.65 0 -1.217.6 0.19 0.2 17.7 0.95 0 -0.7
17.75 0.13 0.1 17.8 1.3 -0.05 0.3517.9 0.1 0.2 18 0.5 0.05 -0.8
18.25 0.29 0.5 18.5 0.58 0.15 0.0818.75 0.14 0.5 19 0.28 0 -0.319.25 0.1 0.5 19.5 0.2 0 -0.0819.75 0.11 0.5 20 0.22 0 0.0220.25 0.06 0.5 20.5 0.12 0 -0.120.75 0.06 0.5 21 0.12 0 021.25 0.06 0.5 21.5 0.12 0 -3.55271E-1521.75 0.04 0.5 22 0.08 0 -0.0422.25 0.04 0.5 22.5 0.08 0 -3.55271E-1522.75 0.03 0.5 23 0.06 0 -0.0223.25 0.04 0.5 23.5 0.08 0 0.0223.75 0.02 0.5 24 0.04 0 -0.0424.25 0.03 0.5 24.5 0.06 0 0.0224.75 0.02 0.5 25 0.04 0 -0.0225.25 0.02 0.5 25.5 0.04 0 025.75 0.01 0.5 26 0.02 0 -0.0226.25 0.03 0.5 26.5 0.06 0 0.0426.75 0.01 0.5 27 0.02 0 -0.0427.25 0.02 0.5 27.5 0.04 0 0.0227.75 0.02 0.5 28 0.04 0 028.25 0.01 0.5 28.5 0.02 0 -0.0228.75 0.02 0.5 29 0.04 0 0.0229.25 0 0.5 29.5 0 0 -0.0429.75 0.02 0.5 30 0.04 0 0.0430.25 0.01 0.5 30.5 0.02 0 -0.0230.75 0.01 0.5 31 0.02 0 031.25 0.01 0.5 31.5 0.02 0 031.75 0.01 0.5 32 0.02 0 032.25 0.01 0.5 32.5 0.02 0 3.552714E-1532.75 0.02 0.5 33 0.04 0 0.0233.25 0 0.5 33.5 0 0 -0.0433.75 0 0.5 34 0 0 034.25 0.01 0.5 34.5 0.02 0 0.0234.75 0.01 0.5 35 0.02 0 035.25 0 0.5 35.5 0 0 -0.0235.75 0.01 0.5 36 0.02 0 0.0236.25 0.01 0.5 36.5 0.02 0 036.75 0.01 0.5 37 0.02 0 037.25 0.01 0.5 37.5 0.02 0 3.552714E-1537.75 0 0.5 38 0 0 -0.0238.25 0.01 0.5 38.5 0.02 0 0.02
38.75 0.01 0.5 39 0.02 0 039.25 0.01 0.5 39.5 0.02 0 039.75 0 0.5 40 0 0 -0.0240.25 0.01 0.5 40.5 0.02 0 0.0240.75 0.01 0.5 41 0.02 0 041.25 0 0.5 41.5 0 0 -0.0241.75 0.01 0.5 42 0.02 0 0.0242.25 0.01 0.5 42.5 0.02 0 042.75 0 0.5 43 0 0 -0.0243.25 0.01 0.5 43.5 0.02 0 0.0243.75 0.01 0.5 44 0.02 0 -3.55271E-1544.25 0.01 0.5 44.5 0.02 0 044.75 0.01 0.5 45 0.02 0 045.25 0.01 0.5 45.5 0.02 0 0
0 5 10 15 20 25 30 35 40 45 50
-20
-15
-10
-5
0
5
10
15
20
25 D2pH/dV2 vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 50
-20
-15
-10
-5
0
5
10
15
20
25 D2pH/dV2 vs Vol NaOH
d Vol D2pH/dV20.5 0.75 1.776357E-150.5 1.25 -1.77636E-150.5 1.75 0.040.5 2.25 00.5 2.75 -0.040.5 3.25 0.040.5 3.75 0.040.5 4.25 -0.040.5 4.75 0.040.5 5.25 -1.77636E-150.5 5.75 0.080.5 6.25 -0.080.5 6.75 0.120.5 7.25 -0.040.5 7.75 0.08
0.35 8.1 0.31428571430.2 8.3 -0.250.2 8.5 0.250.2 8.7 -0.250.2 8.9 0.250.2 9.1 0.50.2 9.3 0.250.2 9.5 1.776357E-140.2 9.7 20.2 9.9 1.250.2 10.1 -0.50.2 10.3 200.2 10.5 -3.750.2 10.7 -15.50.2 10.9 -1.250.2 11.1 -0.50.2 11.3 -1.50.2 11.5 -0.750.2 11.7 1.50.2 11.9 -1
0.35 12.25 -0.3428571430.5 12.75 0.080.5 13.25 -0.120.5 13.75 00.5 14.25 0.080.5 14.75 0.080.5 15.25 00.5 15.75 0.320.5 16.25 0.52
0.35 16.6 8.1142857143
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14
gruesa
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14fina
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14
Ph gruesa vs Vol NaOH
0.2 16.8 -130.2 17 -1.750.2 17.2 110.2 17.4 -60.2 17.6 -3.5
0.15 17.75 2.33333333330.15 17.9 -5.3333333330.35 18.25 0.2285714286
0.5 18.75 -0.60.5 19.25 -0.160.5 19.75 0.040.5 20.25 -0.20.5 20.75 00.5 21.25 -7.10543E-150.5 21.75 -0.080.5 22.25 -7.10543E-150.5 22.75 -0.040.5 23.25 0.040.5 23.75 -0.080.5 24.25 0.040.5 24.75 -0.040.5 25.25 00.5 25.75 -0.040.5 26.25 0.080.5 26.75 -0.080.5 27.25 0.040.5 27.75 00.5 28.25 -0.040.5 28.75 0.040.5 29.25 -0.080.5 29.75 0.080.5 30.25 -0.040.5 30.75 00.5 31.25 00.5 31.75 00.5 32.25 7.105427E-150.5 32.75 0.040.5 33.25 -0.080.5 33.75 00.5 34.25 0.040.5 34.75 00.5 35.25 -0.040.5 35.75 0.040.5 36.25 00.5 36.75 00.5 37.25 7.105427E-150.5 37.75 -0.040.5 38.25 0.04
0 5 10 15 20 25 30 35 40 45 500
1
2
3
4
5
6
dpH/dV vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14
Ph gruesa vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14
Ph fina Vs vol NaOH
0.5 38.75 00.5 39.25 00.5 39.75 -0.040.5 40.25 0.040.5 40.75 00.5 41.25 -0.040.5 41.75 0.040.5 42.25 00.5 42.75 -0.040.5 43.25 0.040.5 43.75 -7.10543E-150.5 44.25 00.5 44.75 00.5 45.25 0
0 5 10 15 20 25 30 35 40 45 50
-20
-15
-10
-5
0
5
10
15
20
25 D2pH/dV2 vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 50
-20
-15
-10
-5
0
5
10
15
20
25 D2pH/dV2 vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14
gruesa
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14fina
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14
Ph gruesa vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 500
1
2
3
4
5
6
dpH/dV vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14
Ph gruesa vs Vol NaOH
0 5 10 15 20 25 30 35 40 45 500
2
4
6
8
10
12
14
Ph fina Vs vol NaOH
