Titrationskurve 
Essigsäure mit NaOH

pH

ml NaOH (c=0,1 mol/l)

pKS

pKB

V Vorl. / ml

 c(HA) in mol/l

n(HA) in mmol

c(OH) Titr. in mol/l

V zu in ml

V ges in ml

n(OH) in mmol

n(A)/n(HA)

Übersch. n(OH) in mmol

pH

\mbox{HÄP Halbäquivalenzpunkt}
\
n(A^-) = n(HA)
\
Tol.: 24ml-26ml
(\mbox{1. Wendepunkt})

\mbox{pH = pKs}\
Tol.:4.7 - 4.8

Start-pH = 2.88\
Tol.: 2.8 - 2.9

\mbox{Pufferbereich}
\
3.75\leq pH\leq5.75

\mbox{ÄP Äquivalenzpunkt}
\
n_0(OH^-) = n_0(HA)
\
Tol.:49ml-51ml(2. Wendepunkt)

pH = 8.72\Tol.:8.7-8.74\Salzlösung

\mbox{Grenzwert}\
\mbox{pH-Wert der Tirierlösung}

pH = 13

f(x) = If[50 ≤ x ≤ 80, 71 / (10 + ℯ^((-(x + 1.17521)) + 54)) + 4.90326]
B1: 4.75
B2: 14 - $B$1
B3: 50
B4: 0.1
B5: (B3 * B4)
B6: 0.1
A10: 0
F10: (0.5 * ($B$1 - lg($B$4)))
A11: 1
B11: $B$3 + A11
C11: (A11 * $B$6)
D11: C11 / ($B$5 - C11)
A12: 2
B12: $B$3 + A12
C12: (A12 * $B$6)
D12: C12 / ($B$5 - C12)
F12: $B$1 + lg(D12)
A13 = 3
A14 = 4
A15 = 5
A16 = 6
A17 = 7
A18 = 8
A19 = 9
A20 = 10
A21 = 11
A22 = 12
A23 = 13
A24 = 14
A25 = 15
A26 = 16
A27 = 17
A28 = 18
A29 = 19
A30 = 20
A31 = 21
A32 = 22
A33 = 23
A34 = 24
A35 = 25
A36 = 26
A37 = 27
A38 = 28
A39 = 29
A40 = 30
A41 = 31
A42 = 32
A43 = 33
A44 = 34
A45 = 35
A46 = 36
A47 = 37
A48 = 38
A49 = 39
A50 = 40
A51 = 41
A52 = 42
A53 = 43
A54 = 44
A55 = 45
A56 = 46
A57 = 47
A58 = 48
A59 = 49
C13: (A13 * $B$6)
C14: (A14 * $B$6)
C15: (A15 * $B$6)
C16: (A16 * $B$6)
C17: (A17 * $B$6)
C18: (A18 * $B$6)
C19: (A19 * $B$6)
C20: (A20 * $B$6)
C21: (A21 * $B$6)
C22: (A22 * $B$6)
C23: (A23 * $B$6)
C24: (A24 * $B$6)
C25: (A25 * $B$6)
C26: (A26 * $B$6)
C27: (A27 * $B$6)
C28: (A28 * $B$6)
C29: (A29 * $B$6)
C30: (A30 * $B$6)
C31: (A31 * $B$6)
C32: (A32 * $B$6)
C33: (A33 * $B$6)
C34: (A34 * $B$6)
C35: (A35 * $B$6)
C36: (A36 * $B$6)
C37: (A37 * $B$6)
C38: (A38 * $B$6)
C39: (A39 * $B$6)
C40: (A40 * $B$6)
C41: (A41 * $B$6)
C42: (A42 * $B$6)
C43: (A43 * $B$6)
C44: (A44 * $B$6)
C45: (A45 * $B$6)
C46: (A46 * $B$6)
C47: (A47 * $B$6)
C48: (A48 * $B$6)
C49: (A49 * $B$6)
C50: (A50 * $B$6)
C51: (A51 * $B$6)
C52: (A52 * $B$6)
C53: (A53 * $B$6)
C54: (A54 * $B$6)
C55: (A55 * $B$6)
C56: (A56 * $B$6)
C57: (A57 * $B$6)
C58: (A58 * $B$6)
D13: C13 / ($B$5 - C13)
D14: C14 / ($B$5 - C14)
D15: C15 / ($B$5 - C15)
D16: C16 / ($B$5 - C16)
D17: C17 / ($B$5 - C17)
D18: C18 / ($B$5 - C18)
D19: C19 / ($B$5 - C19)
D20: C20 / ($B$5 - C20)
D21: C21 / ($B$5 - C21)
D22: C22 / ($B$5 - C22)
D23: C23 / ($B$5 - C23)
D24: C24 / ($B$5 - C24)
D25: C25 / ($B$5 - C25)
D26: C26 / ($B$5 - C26)
D27: C27 / ($B$5 - C27)
D28: C28 / ($B$5 - C28)
D29: C29 / ($B$5 - C29)
D30: C30 / ($B$5 - C30)
D31: C31 / ($B$5 - C31)
D32: C32 / ($B$5 - C32)
D33: C33 / ($B$5 - C33)
D34: C34 / ($B$5 - C34)
D35: C35 / ($B$5 - C35)
D36: C36 / ($B$5 - C36)
D37: C37 / ($B$5 - C37)
D38: C38 / ($B$5 - C38)
D39: C39 / ($B$5 - C39)
D40: C40 / ($B$5 - C40)
D41: C41 / ($B$5 - C41)
D42: C42 / ($B$5 - C42)
D43: C43 / ($B$5 - C43)
D44: C44 / ($B$5 - C44)
D45: C45 / ($B$5 - C45)
D46: C46 / ($B$5 - C46)
D47: C47 / ($B$5 - C47)
D48: C48 / ($B$5 - C48)
D49: C49 / ($B$5 - C49)
D50: C50 / ($B$5 - C50)
D51: C51 / ($B$5 - C51)
D52: C52 / ($B$5 - C52)
D53: C53 / ($B$5 - C53)
D54: C54 / ($B$5 - C54)
D55: C55 / ($B$5 - C55)
D56: C56 / ($B$5 - C56)
D57: C57 / ($B$5 - C57)
D58: C58 / ($B$5 - C58)
F13: $B$1 + lg(D13)
F14: $B$1 + lg(D14)
F15: $B$1 + lg(D15)
F16: $B$1 + lg(D16)
F17: $B$1 + lg(D17)
F18: $B$1 + lg(D18)
F19: $B$1 + lg(D19)
F20: $B$1 + lg(D20)
F21: $B$1 + lg(D21)
F22: $B$1 + lg(D22)
F23: $B$1 + lg(D23)
F24: $B$1 + lg(D24)
F25: $B$1 + lg(D25)
F26: $B$1 + lg(D26)
F27: $B$1 + lg(D27)
F28: $B$1 + lg(D28)
F29: $B$1 + lg(D29)
F30: $B$1 + lg(D30)
F31: $B$1 + lg(D31)
F32: $B$1 + lg(D32)
F33: $B$1 + lg(D33)
F34: $B$1 + lg(D34)
F35: $B$1 + lg(D35)
F36: $B$1 + lg(D36)
F37: $B$1 + lg(D37)
F38: $B$1 + lg(D38)
F39: $B$1 + lg(D39)
F40: $B$1 + lg(D40)
F41: $B$1 + lg(D41)
F42: $B$1 + lg(D42)
F43: $B$1 + lg(D43)
F44: $B$1 + lg(D44)
F45: $B$1 + lg(D45)
F46: $B$1 + lg(D46)
F47: $B$1 + lg(D47)
F48: $B$1 + lg(D48)
F49: $B$1 + lg(D49)
F50: $B$1 + lg(D50)
F51: $B$1 + lg(D51)
F52: $B$1 + lg(D52)
F53: $B$1 + lg(D53)
F54: $B$1 + lg(D54)
F55: $B$1 + lg(D55)
F56: $B$1 + lg(D56)
F57: $B$1 + lg(D57)
F58: $B$1 + lg(D58)
A60: 49.1
B13: $B$3 + A13
B14: $B$3 + A14
B15: $B$3 + A15
B16: $B$3 + A16
B17: $B$3 + A17
B18: $B$3 + A18
B19: $B$3 + A19
B20: $B$3 + A20
B21: $B$3 + A21
B22: $B$3 + A22
B23: $B$3 + A23
B24: $B$3 + A24
B25: $B$3 + A25
B26: $B$3 + A26
B27: $B$3 + A27
B28: $B$3 + A28
B29: $B$3 + A29
B30: $B$3 + A30
B31: $B$3 + A31
B32: $B$3 + A32
B33: $B$3 + A33
B34: $B$3 + A34
B35: $B$3 + A35
B36: $B$3 + A36
B37: $B$3 + A37
B38: $B$3 + A38
B39: $B$3 + A39
B40: $B$3 + A40
B41: $B$3 + A41
B42: $B$3 + A42
B43: $B$3 + A43
B44: $B$3 + A44
B45: $B$3 + A45
B46: $B$3 + A46
B47: $B$3 + A47
B48: $B$3 + A48
B49: $B$3 + A49
B50: $B$3 + A50
B51: $B$3 + A51
B52: $B$3 + A52
B53: $B$3 + A53
B54: $B$3 + A54
B55: $B$3 + A55
B56: $B$3 + A56
B57: $B$3 + A57
B58: $B$3 + A58
B59: $B$3 + A59
B60: $B$3 + A60
C59: (A59 * $B$6)
C60: (A60 * $B$6)
D59: C59 / ($B$5 - C59)
D60: C60 / ($B$5 - C60)
F59: $B$1 + lg(D59)
F60: $B$1 + lg(D60)
A61: 49.5
B61: $B$3 + A61
C61: (A61 * $B$6)
D61: C61 / ($B$5 - C61)
F61: $B$1 + lg(D61)
A62: 49.9
B62: $B$3 + A62
C62: (A62 * $B$6)
D62: C62 / ($B$5 - C62)
F62: $B$1 + lg(D62)
A63: 50
B63: $B$3 + A63
C63: (A63 * $B$6)
F63: 14 - (0.5 * ($B$2 - lg(C63 / B63)))
A64: 50.1
B64: $B$3 + A64
C64: (A64 * $B$6)
E64: C64 - $B$5
F64: 14 + lg(E64 / B64)
A65: 50.5
B65: $B$3 + A65
C65: (A65 * $B$6)
E65: C65 - $B$5
F65: 14 + lg(E65 / B65)
A69: 55
B69: $B$3 + A69
C69: (A69 * $B$6)
E69: C69 - $B$5
F69: 14 + lg(E69 / B69)
A70: 60
A71: 70
A72: 80
A73: 90
A74: 100
B70: $B$3 + A70
C70: (A70 * $B$6)
E70: C70 - $B$5
F70: 14 + lg(E70 / B70)
B71: $B$3 + A71
C71: (A71 * $B$6)
E71: C71 - $B$5
F71: 14 + lg(E71 / B71)
B72: $B$3 + A72
C72: (A72 * $B$6)
E72: C72 - $B$5
F72: 14 + lg(E72 / B72)
B73: $B$3 + A73
C73: (A73 * $B$6)
E73: C73 - $B$5
F73: 14 + lg(E73 / B73)
B74: $B$3 + A74
C74: (A74 * $B$6)
E74: C74 - $B$5
F74: 14 + lg(E74 / B74)
G10: (A10, F10)
G12: (A12, F12)
G13: (A13, F13)
G14: (A14, F14)
G15: (A15, F15)
G16: (A16, F16)
G17: (A17, F17)
G18: (A18, F18)
G19: (A19, F19)
G20: (A20, F20)
G21: (A21, F21)
G22: (A22, F22)
G23: (A23, F23)
G24: (A24, F24)
G25: (A25, F25)
G26: (A26, F26)
G27: (A27, F27)
G28: (A28, F28)
G29: (A29, F29)
G30: (A30, F30)
G31: (A31, F31)
G32: (A32, F32)
G33: (A33, F33)
G34: (A34, F34)
G35: (A35, F35)
G36: (A36, F36)
G37: (A37, F37)
G38: (A38, F38)
G39: (A39, F39)
G40: (A40, F40)
G41: (A41, F41)
G42: (A42, F42)
G43: (A43, F43)
G44: (A44, F44)
G45: (A45, F45)
G46: (A46, F46)
G47: (A47, F47)
G48: (A48, F48)
G49: (A49, F49)
G50: (A50, F50)
G51: (A51, F51)
G52: (A52, F52)
G53: (A53, F53)
G54: (A54, F54)
G55: (A55, F55)
G56: (A56, F56)
G57: (A57, F57)
G58: (A58, F58)
G59: (A59, F59)
G60: (A60, F60)
G61: (A61, F61)
G62: (A62, F62)
G63: (A63, F63)
G64: (A64, F64)
G65: (A65, F65)
G69: (A69, F69)
G70: (A70, F70)
G71: (A71, F71)
G72: (A72, F72)
G73: (A73, F73)
G74: (A74, F74)
F11: $B$1 + lg(D11)
G11: (A11, F11)
A66: 52
B66: $B$3 + A66
C66: (A66 * $B$6)
E66: C66 - $B$5
F66: 14 + lg(E66 / B66)
G66: (A66, F66)
A67: 53
A68: 54
B67: $B$3 + A67
C67: (A67 * $B$6)
E67: C67 - $B$5
F67: 14 + lg(E67 / B67)
G67: (A67, F67)
B68: $B$3 + A68
C68: (A68 * $B$6)
E68: C68 - $B$5
F68: 14 + lg(E68 / B68)
G68: (A68, F68)
l1: {G10, G11, G12, G13, G14, G15, G16, G17, G18, G19, G20, G21, G22, G23, G24, G25, G26, G27, G28, G29, G30, G31, G32, G33, G34, G35, G36, G37, G38, G39, G40, G41, G42, G43, G44, G45, G46, G47, G48, G49, G50, G51, G52, G53, G54, G55, G56, G57, G58, G59, G60, G61, G62, G63, G64, G65, G66, G67, G68, G69, G70, G71, G72, G73, G74}
a = Spline(l1, 3)
g_1(x) = If[-5 ≤ x ≤ 110, 2.875]
g_2(x) = If[-5 ≤ x ≤ 110, 4.75]
A_2: (25, -1)
B_2: (25, 15)
y_2 = Segment(A_2, B_2)
A_3 = (-10, 4)
B_3 = (105, 4)
C_3 = (105, 6)
D_3 = (-10, 6)
v1, a_3, b_3, c_3, d_3 = Polygon(A_3, B_3, C_3, D_3)
g_3(x) = If[-5 ≤ x ≤ 110, 8.72]
A_4: (50, -1)
B_4: (50, 14)
y_4 = Segment(A_4, B_4)
g_4(x) = If[-5 ≤ x ≤ 110, 13]