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  • 7/30/2019 Explicaciones Del pH

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    pKA and Ions in Solution

    Chemical Equilibrium

    A + B C + Dk1

    k2

    At equilibrium, k1 [A] [B] = k2 [C] [D]

    EK

    BA

    DC

    k

    k

    ]][[

    ]][[

    2

    1

    Le Chateliers Principle: When a stress is applied on a system at equilibrium,

    the system will re-adjust to diminish the stress or counteract the change.

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    pKA and Ions in Solution

    H2O Equilibrium

    EKOH

    OHH

    ][

    ]][[

    2

    H2O H + OHk1

    k2

    + _

    142 105.55][]][[

    WEE KKOHKOHH

    1410log]][log[ OHH

    14]log[]log[ OHH

    14]log[]log[ OHH

    14 pOHpH

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    pKA and Ions in Solution

    Ionization of a weak acid

    CH3COOH + H2O H3O+

    + CH3COO-

    ]][[

    ]][[

    32

    33

    COOHCHOH

    COOCHOHKE

    ][

    ]][[][

    3

    332

    COOHCH

    COOCHOHKOHK AE

    ][

    ][log]log[log

    3

    33

    COOHCH

    COOCHOHKA

    ][

    ].[log

    ][

    ][log

    3

    3

    acid

    baseconjpH

    COOHCH

    COOCHpHpKA

    ApKpHacid

    baseconj

    ][

    ].[log Henderson-Haselbach Equation

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    pKA and Ions in Solution

    What is the physical meaning of pKA?

    11

    1][

    ].[log ApKpHacidbaseconj

    22

    2

    ][

    ].[log ApKpH

    acid

    baseconj

    }{}{

    ][

    ].[log

    ][

    ].[log 21

    2

    2

    1

    1AA pKpHpKpH

    acid

    baseconj

    acid

    baseconj

    212

    2

    1

    1

    ].[

    ][

    ][

    ].[log AA pKpK

    baseconj

    acid

    acid

    baseconj

    122

    1

    ].[

    ].[log AA pKpK

    baseconj

    baseconj [Unionized Acid1] =

    [Unionized Acid2]

    If pKA1 = 4 and pKA2 = 1. 001.01010

    ].[

    ].[ 3)41(

    2

    1

    baseconj

    baseconj

    ].[001.0].[ 21 baseconjbaseconj ][

    ].[001.0

    ][

    ].[

    2

    2

    1

    1

    acid

    baseconj

    acid

    baseconj

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    Consequences of Bond Polarity

    Inductive Effect - Influence on pKa

    CH3

    O

    O

    HF

    3C O

    H

    O

    pKa 4.5 0.23

    CH3COOH ClCH2COOH

    pKa 4.5 2.9

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    Consequences of Bond Polarity

    Inductive Effect - Additive Property

    pKa

    CH3COOH 4.5

    ClCH2COOH 2.9

    Cl2CHCOOH 1.3

    Cl3CCOOH 0.7

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    Consequences of Bond Polarity

    Inductive Effect - Distance Dependent Property

    pKa

    CH3CH2CH2COOH 4.8

    ClCH2CH2CH2COOH 4.5

    CH3CHClCH2COOH 4.1

    CH3CH2ClCH2COOH 2.8

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    Consequences of Bond Polarity

    Inductive Effect - Group Electronegativities

    pKaNO2CH2COOH 1.7

    ClCH2COOH 2.9COOHCH2COOH 2.8CNCH2COOH 3.5

    Electron-withdrawing groups -C=N 0.5+1.0 = 1.5

    -COOH 0.25+1.25+1.0+0 = 2.5

    -CHO 0.25+1.25+0 = 1.5

    -NO2 0.5+1.25+1.25 = 3.0

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    pKa 6.1 5.7

    Consequences of Bond Polarity

    Influence on pKa . through space effect

    ClCl

    COOHCOOH

    Cl

    Cl

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    pKA and Solubility in Water

    NN

    NH

    O

    F COOH

    Ciprofloxacin

    (piperazine)

    Antibacterial

    (anthrax)

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    A molecule may have more than one pKA value!!

    Consequences of Bond Polarity

    Inductive Effect Multiple pKA values

    OH O

    OO

    OH OH

    OO

    O O

    OO

    _ _ _

    pKA = 2.8 pKA = 5.7

    ONH

    3

    O

    OHNH

    3

    O

    ONH

    2

    OpKA = 2.35 pKA = 9.78

    _ _+ +

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    Consequences of Bond Polarity

    Natural Amino Acids Structure and pKA

    R

    NH2

    HCOOH Structure of Amino Acid Residues

    All L-configuration or R geometry(except for glycine)

    Non-Polar R = Polar R =

    Glycine H Serine HOCH2

    Alanine CH3 Threonine CH3CH(OH)

    Valine (CH3)2CH Cysteine HSCH2

    Leucine (CH3)2CH2CH Tyrosine HOC6H4CH2

    Isoleucine CH3CH2CH(CH3) Asparagine H2NC(O)CH2

    Phenyalanine PhCH2 Glutamine H2NC(O)CH2CH2

    Methionine H3CSCH2CH2

    Tryptophan

    NH

    CH2

    __

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    Consequences of Bond Polarity

    Natural Amino Acids Structure and pKA

    R

    NH2

    HCOOH Structure of Amino Acid Residues

    All L-configuration or R geometry(except for glycine)

    Acidic R = Basic R =

    Aspartic Acid HOOCCH2 Lysine H2N(CH2)4

    Glutamic Acid HOOCCH2CH2

    Arginine H2NC(NH)NH(CH2)3

    HistidineN

    NH

    H2C

    __

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    pKA Values of Natural Amino AcidsResidues pKA1 pKA2 Side-Chain pKA (group identification)

    Non-Polar

    Glycine 2.35 9.78

    Alanine 2.35 9.87Valine 2.29 9.74

    Leucine 2.33 9.74

    Isoleucine 2.32 9.76

    Phenyalanine 2.16 9.18

    Methionine 2.13 9.28

    Tryptophan 2.43 9.44

    Hydrogen-bondingSerine 2.19 9.21

    Threonine 2.09 9.10

    Cysteine 1.92 10.78 8.33 (thiol group)

    Tyrosine 2.20 9.11 10.13 (phenol group)

    Asparagine 2.10 8.84

    Glutamine 2.17 9.13

    Acidic

    Aspartic Acid 1.99 9.90 3.90 (g-COOH group)Glutamic Acid 2.10 9.47 4.07 (g-COOH group)Basic

    Lysine 2.16 9.18 10.79 (-amino group)Arginine 1.82 8.99 12.48 (guanidino group)

    Histidine 1.80 9.33 6.04 (imidazole group)

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    pKA Values of Natural Amino Acids

    and the Dominant Form

    Serine

    Cysteine

    Tyrosine

    Asparagine

    Arginine

    Aspartic Acid

    Amino Acid pH 3.0 pH 7.0 pH 10.0

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    Consequences of Bond Polarity

    Influence on pKa of bases

    pKA = pH - log[RNH2]

    [RNH3+]

    RNH3+ + H2O H3O+ + RNH2

    CH3CH2NH2 FCH2CH2NH2

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    Consequences of Bond Polarity

    Inductive Effect

    depend on the eW atom or eN atom is distance dependent may be re-inforced or cancelled is additive can affect the acidity or basicity of molecules can affect the physical properties of molecules

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    Consequences of Bond Polarity

    Resonance EffectNH

    2NH

    2

    pKa 9-11 ~5

    Resonance, Aromaticity & Conjugation

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    Consequences of Bond Polarity

    Resonance EffectNH

    2NH

    2

    pKa 9-11 ~5

    NH3+

    NH3+

    NH2

    NH2

    + H2O + H3O+

    + H2O + H3O+

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    Consequences of Bond Polarity

    Resonance Effect

    pKa 4.2 3.4 4.5

    COOH COOH

    NO2

    COOH

    OMe

    N

    OOH

    O O

    OMe

    OOH

    N

    O O

    OO

    OMe

    OO

    + H2O + H3O+

    + H2O + H3O+

    _

    _

    __+ +

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    Consequences of Bond Polarity

    Resonance Effect

    Electron-donating groups . OH, OMe, NH, NH2, NCH3

    Electron-withdrawing groups . NO2, COOH, CHO, CN,SO3H, SO2NH2, SO2Cl

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    Group Acid form Conjugate base form pKA

    Amines RCH2NHR2+ RCH2NR2 8-11

    Acids RCOOH RCOO- 3-5

    Amides RCONH2 .. Does not ionize (neutral) ..

    Alcohols ROH .. Does not ionize (neutral) ..

    Phenols PhOH PhO- 9-11

    Anilines PhNH3+ PhNH2 3-5

    Imidazole 6.9

    Pyridines 4-6

    Imides 8-10

    1,3-dicarbonyls 11-13

    Imines ~7

    Ketones R-C(=O)-R .. Does not ionize (neutral) ..

    Aldehydes R-C(=O)-H .. Does not ionize (neutral) ..

    Esters R-C(=O)-OR .. Does not ionize (neutral) ..

    Ethers ROR .. Does not ionize (neutral) ..

    NH

    NH

    +

    NH

    N

    NH

    +N

    NH

    O O

    N

    O O

    _

    O O

    H H

    O O

    H

    _

    NNH

    +

    Group Acid form Conjugate base form pKA

    Amines RCH2NHR2+ RCH2NR2 8-11

    Acids RCOOH RCOO- 3-5

    Amides RCONH2 .. Does not ionize (neutral) ..

    Alcohols ROH .. Does not ionize (neutral) ..

    Phenols PhOH PhO- 9-11

    Anilines PhNH3+ PhNH2 3-5

    Imidazole 6.9

    Pyridines 4-6

    Imides 8-10

    1,3-dicarbonyls 11-13

    Imines ~7

    Ketones R-C(=O)-R .. Does not ionize (neutral) ..

    Aldehydes R-C(=O)-H .. Does not ionize (neutral) ..

    Esters R-C(=O)-OR .. Does not ionize (neutral) ..

    Ethers ROR .. Does not ionize (neutral) ..

    NH

    NH

    +

    NH

    N

    NH

    NH

    +

    NH

    N

    NH

    +NNH

    +N

    NH

    O O

    N

    O O

    _NH

    O O

    N

    O O

    _

    O O

    H H

    O O

    H

    _

    O O

    H H

    O O

    H

    _

    NNH

    +

    NNH

    +

    pKA Values of Common Organic Functional Groups

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    Application of Henderson-Hasselbach Equation

    1. Amphetamine has pKA of 9.8. Whatform will dominate at pH 2.8, 6.8,and 9.8?

    CH3

    NH3

    CH3

    NH2

    + H2O + H3O+

    +

    CH3

    NH3

    CH3

    NH2

    + H2O + H3O+

    +

    log = pH - pKA[RNH2]

    [RNH3+]

    At pH 2.8

    log = 2.8 9.8 = -7.0

    = 10-7

    [RNH2] = 10-7 [RNH3+] % [RNH2] = 10-7 0.00001%

    % [RNH3+] = 100 - 10-5 99.99999 %RNH3

    + is an ion, therefore % ionization of

    amphetamine is nearly 100% at pH 2.8

    [RNH2][RNH3

    +]

    [RNH2][RNH3

    +]

    100

    (1+10-7)

    At pH 6.8

    log = 6.8 9.8 = -3.0

    = 10-3

    [RNH2] = 10-3 [RNH3+] % [RNH2] = 10-3 0.1 %

    % [RNH3+] = 100 - 10-1 99.9 %RNH3

    + is an ion, therefore % ionization of

    amphetamine is nearly 100% at pH 6.8

    [RNH2][RNH3

    +]

    [RNH2][RNH3

    +]

    100

    (1+10-3)

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    Application of Henderson-Hasselbach Equation

    1. Amphetamine has pKA of 9.8. Whatform will dominate at pH 2.8, 6.8,and 9.8?

    CH3

    NH3

    CH3

    NH2

    + H2O + H3O+

    +

    CH3

    NH3

    CH3

    NH2

    + H2O + H3O+

    +

    log = pH - pKA[RNH2]

    [RNH3+]

    At pH 9.8

    log = 9.8 9.8 = 0.0

    = 100 = 1

    [RNH2] = 1[RNH3+] % [RNH2] = 1 50 %

    % [RNH3+] = 100 - 50 50 %RNH3

    + is an ion, therefore % ionization of

    amphetamine is 50% at pH 9.8

    [RNH2][RNH3

    +]

    [RNH2][RNH3

    +]

    100

    (1+1)

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    Application of Henderson-Hasselbach Equation

    2. Meperidine is a narcotic analgesic.Its pKA is 8.7. It needs to beinjected (iv). What pH will you need

    to make the solution of meperidine?

    log = pH - pKA[RNH2]

    [RNH3+]

    N

    COOEt

    H CH3

    N

    COOEt

    CH3

    ++ H

    2O + H

    3O+

    For meperidine to go into solution fully and easily, it

    should be fully ionized. Therefore, protonated species

    (the conjugate acid form, [A]), and not the base form

    {[B]} should dominate.

    [RNH2]

    [RNH3+]

    < 0.01 or 10-2

    log < 2.0[RNH2][RNH

    3

    +]

    pH pKA < 2.0 pH 8.7 < 2.0 pH < 2.0 + 8.7 pH < 6.7

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    Application of Henderson-Hasselbach Equation

    3. Hydrocortisone hemisuccinate has apKA of 5.1? It is a pro-drug form ofhydrocortisone, a steroidal anti-

    inflammatory molecule. Why washemisuccinate derivative made?

    O

    O

    O

    OHOH

    O

    OH

    O

    OH

    O

    OHOH

    Hydrocortisone hemisuccinate hydrocortisone

    Hydrocortisone has poor solubility in water/blood. However, the hemisuccinate form

    with a pKA of 5.1 generates good solubility (~100% ionized) at pH 7.2 (blood). Thus, it

    can be injected directly in the vein for rapid anti-inflammatory activity. On the other

    hand, hydrocortisone or its ester derivatives (acetate, valerate, etc) cannot be injected

    into the vein directly because they will precipitate. If a solubilized form of

    hydrocortisone or its ester is prepared and injected into a vein, dangerous possibilitiesof cutting of blood flow (and possibly death) exist!