Pharmaceutical Organic Chemistry 1 - Unit 2


Syllabus

Alkanes\*, Alkenes* and Conjugated dienes*

SP3 hybridization in alkanes, Halogenation of alkanes, uses of paraffins. Stabilities of alkenes, SP2 hybridization in alkenes E1 and E2 reactions - kinetics, order of reactivity of alkyl halides, rearrangement of carbocations, Saytzeffs orientation and evidences. E1 verses E2 reactions, Factors affecting E1 and E2 reactions. Ozonolysis, electrophilic addition reactions of alkenes, Markownikoff’s orientation, free radical addition reactions of alkenes, Anti Markownikoff’s orientation. Stability of conjugated dienes, Diel-Alder, electrophilic addition, free radical addition reactions of conjugated dienes, allylic rearrangement



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POC-1ST

UNIT-2


1. ALKANES

  • Alkanes are those organic compounds which are composed of hydrogen and carbon only with single bond.
  • They are the simplest and most saturated type of hydrocarbons, as they contain [CC][C-C] and [CH][C-H] single covalent bond.

General formula \rightarrow

  • The general formula for alkanes is CnH2n+2C_nH_{2n+2} where nn is the number of carbon atom.

Screenshot 2026-03-12 233440

Structure \rightarrow

  • Alkanes have a linear or branched chain structure, with each carbon atom bonded to four other atoms (hydrogen/carbon).

Screenshot 2026-03-12 233450


HALOGENATION OF ALKANES

  • It involves the substitution reactions, in which Halogen atom [Cl,I,Br,F][Cl, I, Br, F] replaces H-atom from the alkane.

Screenshot 2026-03-12 233526

  • Chlorination, Bromination etc..

Chlorination

  • Alkanes react with chlorine in the presence of ultraviolet light to produce alkyl chloride.

Screenshot 2026-03-12 233640

  • The reaction does not stop at this stage, the remaining three hydrogen atoms of methyl chloride can be successively replaced by chlorine atom.

Screenshot 2026-03-12 233652

Mechanism

  • The mechanism of chlorination/halogenation take place through the formation of free radical.
  • It involves three steps:
    1. Chain initiation
    2. Chain propagation
    3. Chain termination

1. Chain initiation

  • In this, chlorine molecules undergoes homolytic fission to give chlorine free radicals.

Screenshot 2026-03-12 233705

2. Chain propogation

  • It further involves two steps:

    • a) in this, chlorine free radical attacks methane to produce methyl free radicals and HClHCl.

    Screenshot 2026-03-12 233715

    • b) Now, in this, methyl free radical attacks chlorine molecules to give methyl chloride and chlorine free radicals.

Screenshot 2026-03-12 233723

$$CH_3^\bullet + Cl_2 \rightarrow CH_3-Cl + Cl^\bullet$$
(Methyl chloride)

3. Chain termination

  • Now, in this step two free radicals combine to form a stable molecules, ending the chain reactions...

Screenshot 2026-03-12 233815

Cl+ClCl2Cl^\bullet + Cl^\bullet \rightarrow Cl_2 CH3+CH3CH3CH3CH_3^\bullet + CH_3^\bullet \rightarrow CH_3-CH_3 CH3+ClCH3ClCH_3^\bullet + Cl^\bullet \rightarrow CH_3-Cl (methyl chloride)


SP³ HYBRIDIZATION IN ALKANES

Hybridization \rightarrow It is the concept of mixing of atomic orbitals to form a new hybrid orbitals.

  • It is the process of combining two or more atomic orbitals of an atom to form equivalent hybrid orbitals.

sp³ hybridization \rightarrow

  • It is a type of orbital hybridization in which one ss orbital and three pp orbitals of an atom to mix to form four equivalent hybrid orbitals.

Screenshot 2026-03-12 233830

  • Each sp3sp^3 hybrid orbital show 25% s-orbital characteristics and 75% p-orbital characteristics.

Screenshot 2026-03-12 233846

Screenshot 2026-03-12 233910

For Methane ($CH_4$)

  • Hybridisation occurs only for central atom.
  • Here, Carbon is our central atom.
  • It involves several steps:

Steps \rightarrow

  1. Electronic configuration of central atom.
    • Carbon \rightarrow Atomic No 6 \rightarrow 1s22s22p21s^2 2s^2 2p^2 (Ground state)
    • 1s1s contains \uparrow\downarrow, 2s2s contains \uparrow\downarrow, 2p2p contains \uparrow \uparrow
  2. At an excited state, always in outermost (orbitals)
    • 1s22s12p31s^2 2s^1 2p^3
    • 2s2s contains \uparrow, 2p2p contains \uparrow \uparrow \uparrow
  3. sp3sp^3 hybridisation
    • overlapping of orbitals s+psp3s + p \rightarrow sp^3

Geometry \rightarrow

  • Alkanes show tetrahedral arrangement.
  • Hydrogens have oval shaped orbitals.
  • The angle b/w bond is 109.5°.

For Ethane

  • CH3CH3CH_3-CH_3
  • Both Carbon have sp3sp^3 hybridisation, so, ethane \rightarrow sp3sp3sp^3-sp^3 hybridisation.

PROPERTIES OF ALKANES

  • Alkanes are insoluble in water and soluble in organic solvents.
  • Alkanes from C1C4C_1-C_4 are colorless gases, C5C_5 to C17C_{17} are colorless liquids and higher molecules are solid..
  • They are non-polar compounds.
  • Boiling point and melting point are increases with increases in molecular weights.

PARAFFINS

  • Paraffins are just another name of alkanes.
  • They are types of saturated hydrocarbon with a straight or a branched chain structure.

Uses of Paraffins

  • They are used as fuels, such as methane (natural gas), propane and butane etc.
  • They are used as lubricants in various industrial applications.
  • Also used as solvents in the production of coating, paints & adhesives.
  • Liquid paraffin, highly refined liquid mineral oil, so it is used as excipients in pharmaceutical products and used in cosmetics and personal care products, such as lotions, creams & Ointments.
  • used to clean dry skin, constipation and eczema (skin disease).

2. ALKENES

  • These are those unsaturated hydrocarbons, which contain one or more Carbon-Carbon double bond [C=C][C=C].
  • Also known as Olefins.

General formula \rightarrow CnH2nC_nH_{2n}

  • where n is the no. of carbon atoms. (min. 2 carbon required).

Screenshot 2026-03-12 233929

Examples:

  • C2H4C_2H_4 (Ethene): CH2=CH2CH_2=CH_2
  • C3H6C_3H_6 (Propene): CH2=CHCH3CH_2=CH-CH_3
  • Butene etc..

STABILITIES OF ALKENES

  • Alkenes are unsaturated hydrocarbons with a Carbon-Carbon double bond [C=C][C=C].
  • They contains double bond, which make alkenes more reactive than alkanes but less stable.
  • The stability of alkene depends on:-
  1. Substituents \rightarrow Alkyl group (e.g. methyl, ethyl) stablize the double bond by donating electrons. work as ee^- donating R group.

    Screenshot 2026-03-12 233940

    CH2=CH2<CH3CH=CH2<CH3CH2CH=CH2CH_2=CH_2 < CH_3-CH=CH_2 < CH_3-CH_2-CH=CH_2 (Increasing Stability)

  2. Trans form are more stable than Cis-form due to less steric hindrance.

Screenshot 2026-03-12 233959

  • Trans-form: Same groups are at opposite side.
  • Cis-form: Same groups are at same side.

HYBRIDIZATION IN ALKENES

  • sp2sp^2 hybridization is a type of orbital hybridization, where one ($s$) orbital and two ($p$) orbitals mix to form three equivalent hybrid orbitals.
  • In alkenes, the carbon atom involved in the double bond undergoes sp2sp^2 hybridization.

Screenshot 2026-03-12 234018

e.g. Ethene ($CH_2=CH_2$)

  • for central atom:
    • Ground State: 1s22s22p21s^2 2s^2 2p^2
    • Excited state: 1s22s12p31s^2 2s^1 2p^3
    • Now, in hybridised state: sp2sp^2 hybridization ($s$ and two pp orbitals mix, leaving one unhybridized pp orbital).
    • Bond angle is 120°.

E1 AND E2 REACTIONS

  • E1E_1 and E2E_2 are part of Elimination reactions.
  • These are those reactions which involve the removal of a leaving group from a substrate, resulting in the formation of a double bond (ethene / alkenes).
  • These are those reactions, which are used in the preparation of alkenes by using dehydrohalogenation of alkyl halides. (de hydro + halogenation).

Screenshot 2026-03-12 234030

  • E.g. CH3CH2BrAlc.KOHCH2=CH2+HBrCH_3-CH_2Br \xrightarrow{Alc. KOH} CH_2=CH_2 + HBr (ethene)
  • These are of two types:
    1. E1E_1 reactions
    2. E2E_2 reactions

E1 REACTIONS

  • It stands for Unimolecular Elimination Reactions.
  • It is Unimolecular, so it follow first-order kinetics i.e. it is depends on the concentration of substrate (reactant only).
  • It is a type of reaction, which include two-step mechanism.
  • Tertiary alkyl halides are more reactive towards this reaction. Order of reactivity \rightarrow 3>2>13^\circ > 2^\circ > 1^\circ

Mechanism \rightarrow

  • It is two step mechanism, in which first step is rate-determining step:-

Screenshot 2026-03-12 234046

CH3C(CH3)(Br)CH3H2O,ΔCH2=C(CH3)CH3+HBrCH_3-C(CH_3)(Br)-CH_3 \xrightarrow{H_2O, \Delta} CH_2=C(CH_3)-CH_3 + HBr (tertiary butyl bromide \rightarrow 2-methyl propene + Hydrogen bromide)

  • Step-1 It involves the formation of carbocation (intermediate). It is rate-determining step. (slow step)

Screenshot 2026-03-12 234058

CH3C(CH3)(Br)CH3CH3C+(CH3)CH3+BrCH_3-C(CH_3)(Br)-CH_3 \rightarrow CH_3-C^+(CH_3)-CH_3 + Br^- (Alkyl halides \rightarrow Carbocation)

  • Step-2 It involves the deprotonation. [H+][-H^+] (fast step)

CH3C+(CH3)CH3+H2OCH2=C(CH3)CH3+H3O+CH_3-C^+(CH_3)-CH_3 + H_2O \rightarrow CH_2=C(CH_3)-CH_3 + H_3O^+ (Note: Since, the first step is slow, and rate-determing, the overall rate of reaction depends only on the reactant/substrate.)

Kinetics \rightarrow

  • It follow 1st order kinetics, because in E1E_1 reactions the rate of reactions depends on the concentration of the substrate/reactant. R=K[alkylhalides]R = K [alkyl halides] where R=R = Rate of reaction, K=K = Rate constant, [alkylhalides]=[alkyl halides] = concentration of alkyl halide

Order of Reactivity \rightarrow

  • It follow 3>2>13^\circ > 2^\circ > 1^\circ. In E1E_1 reactions, order of reactivity depends on the stability of Carbocation. (3° have more substituent more stable).

E2 REACTIONS

  • E2E_2 represents (Bimolecular) Elimination Reactions.
  • It is bimolecular, so it follow second order kinetics i.e. it depends on the concentration of both (reactant & reagent).
  • It involves one-step mechanism.
  • 11^\circ alkyl halides are more reactive toward this reactions. Order of Reactivity \rightarrow 1>2>31^\circ > 2^\circ > 3^\circ

Mechanism \rightarrow

Screenshot 2026-03-12 234129

  • Reaction \rightarrow CH3CH2Br+KOH(Alc.)CH2=CH2+H2O+KBrCH_3-CH_2-Br + KOH (Alc.) \rightarrow CH_2=CH_2 + H_2O + KBr (ethyl bromide + potassium bromide \rightarrow ethene)

  • It completed in one step, which include transition state.

Screenshot 2026-03-12 234220

HO+CH3CH2Br[HOHCH2CH2Br]H2C=CH2+H2O+BrHO^- + CH_3-CH_2-Br \rightarrow [HO \cdots H \cdots CH_2 \cdots CH_2 \cdots Br]^\ddagger \rightarrow H_2C=CH_2 + H_2O + Br^-

  • In transition state (the rate-determining step), both ethyl bromide and hydroxide ion involved.

Kinetics \rightarrow

  • It follow second order kinetics, rate of reaction depends on both reactant and reagent. $$R = K [alkyl halides][base]$$

Order of Reactivity \rightarrow

  • 1° alkyl halides are more reactive toward E2E_2 reactions, due to less stearic hindrance. OHOH^- can easily attack. 1>2>31^\circ > 2^\circ > 3^\circ.

E1 VERSUS E2

E1 ReactionsE2 Reactions
• Unimolecular• Bimolecular
• involve two steps• involve one step only
• formation of carbocation• formation of transition state
R=K[Reactant]1R = K[Reactant]^1R=K[Reactant][Reagent]R = K[Reactant][Reagent]
• weak base required• strong base required
• Highly polar solvents• low polar solvents
• Rearrangement of carbocation possible• No rearrangement occurs

FACTOR AFFECTING E1 & E2 REACTIONS

  • Substrate \rightarrow For E1E_1: 3>2>13^\circ > 2^\circ > 1^\circ (due to stability of carbocations). For E2E_2: 1>2>31^\circ > 2^\circ > 3^\circ (due to low stearic hindress).
  • Leaving group \rightarrow Good leaving group (e.g. Cl, Br, I) facilitate E1/E2E_1/E_2 reacting.
  • Solvent \rightarrow For E1E_1: polar protic solvents (e.g. water). For E2E_2: polar aprotic solvents.
  • Nature of Base \rightarrow For E1E_1: weak base. For E2E_2: strong base.
  • Temperature \rightarrow high temp facilitate both E1E_1 & E2E_2 reactions.

RE-ARRANGEMENT OF CARBOCATIONS

  • It is the shifting/migration of Hydrogen/methyl group from one Carbon to another to form a more stable carbocations.
  • It is of two types:-
  1. Hydride shift \rightarrow A hydrogen atom migrates from one C to another.

Screenshot 2026-03-12 234242

CH3CH+CH2CH3CH_3-CH^+-CH_2-CH_3 \rightarrow more stable. 2. Methyl shift \rightarrow A alkyl group ($-CH_3$) migrates from one C to another.

Screenshot 2026-03-12 234251

 $CH_3-C(CH_3)(CH_3)-CH^+-CH_3 \rightarrow CH_3-C^+(CH_3)-CH(CH_3)-CH_3$ (more stable tertiary).

SAYTZEFF'S RULE (Zaitsev's Rule)

  • It occurs in elimination reactions.
  • When alkyl halides have two or more $\beta$-carbon present, it used in this case to identify the major and minor product.

Screenshot 2026-03-12 234606

  • CH3CH2CH(Br)CH3dehydrohalogenationCH_3-CH_2-CH(Br)-CH_3 \xrightarrow{dehydrohalogenation}
    • CH3CH=CHCH3CH_3-CH=CH-CH_3 (But-2-ene/2-Butene) \rightarrow 80%
    • CH3CH2CH=CH2CH_3-CH_2-CH=CH_2 (But-1-ene/1-Butene) \rightarrow 20%
  • Acc to this rule, that product will be the major product, which contain more no. of substituents at double bond carbon.
  • So, in above example, But-2-ene will be the major product.
  • Evidences \rightarrow It helps us understand and predict the outcomes of elimination reactions. predict the major product formed.

ELECTROPHILIC ADDITION REACTIONS OF ALKENES

  • These are those reaction, in which electrophile ($E^+$) added to the double carbon by breaking down double bond.

Screenshot 2026-03-12 234635

C=C+E+NuECCNuC=C + E^+-Nu^- \rightarrow E-C-C-Nu

  • It involves the formation of alkanes from alkenes.

Screenshot 2026-03-12 234643

CH2=CH2+HBrCH3CH2BrCH_2=CH_2 + HBr \rightarrow CH_3-CH_2-Br (ethene + Hydrogen bromide \rightarrow Bromo ethane)

Mechanism \rightarrow

  • It involves three steps:

Screenshot 2026-03-12 234658

  1. Formation of electrophile ($E^+$) HBrH++BrHBr \rightarrow H^+ + Br^-
  2. Attack of electrophile on reactant (ethene) CH2=CH2+H+CH3CH2+CH_2=CH_2 + H^+ \rightarrow CH_3-CH_2^+ (formation of carbocation)
  3. Now, addition of Nucleophile ($Nu^-$) on carbocation CH3CH2++BrCH3CH2BrCH_3-CH_2^+ + Br^- \rightarrow CH_3-CH_2-Br (Bromoethane)

Now, Alkenes are of two types:-

  • Symmetrical alkenes: when alkyl/hydrogen are same on both sides of double bond.
  • Unsymmetrical alkenes: when alkyl/hydrogen are unequal on both sides of double bond.

Now, Markovnikoff and Anti-markovnikoff rules are applied on unsymmetrical alkenes.

MARKOVNIKOFF'S RULE * This rule is given by russian chemist markovnikov.

  • Acc. to this rule: In an electrophilic addition reactions, Electrophile ($E^+$) goes to that double bond carbon, where more number of hydrogen are present.
  • OR Nucleophile ($Nu^-$) goes to that double bond carbon, where less number of hydrogen are present.

Screenshot 2026-03-12 234719

CH3CH=CH2+HBrCH3CH(Br)CH3CH_3-CH=CH_2 + H-Br \rightarrow CH_3-CH(Br)-CH_3 (2-bromopropane)

ANTI-MARKOVNIKOFF'S RULE

  • Also known as Kharasch effect or Peroxide effects ($H_2O_2$).
  • It occurs in assymetrical alkene.
  • According to this rule: Hydrogen atom added to those double bond carbon, which contain less number of hydrogen/non-polar nature.

Screenshot 2026-03-12 234734

CH3CH=CH2+HBrH2O2,ΔCH3CH2CH2BrCH_3-CH=CH_2 + H-Br \xrightarrow{H_2O_2, \Delta} CH_3-CH_2-CH_2-Br (1-bromopropane)

  • It involves the free radical addition mechanism.

Mechanism \rightarrow

  • It involve three steps:-

Screenshot 2026-03-12 234757

  1. Chain initiation \rightarrow It occurs in reagent and catalyst. H2O2Δ2OHH_2O_2 \xrightarrow{\Delta} 2 \cdot OH HBr+OHH2O+BrH-Br + \cdot OH \rightarrow H_2O + Br^\bullet (Bromine free radical)
  2. Chain propogation \rightarrow Now, Bromine free radical attack reactant. $$Br^\bullet + CH_3-CH=CH_2 \rightarrow CH_3-C^\bullet H-CH_2-Br$$
  3. Chain termination \rightarrow free radicals reacts with each other. $$CH_3-C^\bullet H-CH_2-Br + H-Br \rightarrow CH_3-CH_2-CH_2-Br + Br^\bullet$$ (1-bromopropane) $$Br^\bullet + Br^\bullet \rightarrow Br_2$$

OZONOLYSIS

  • It is an organic reaction, where an alkene is cleaved by ozone ($O_3$) to form two carbonyl compounds (Aldehydes or ketones).

Screenshot 2026-03-12 234807

CH2=CH2O3OzonideZn/H2O2CH2=OCH_2=CH_2 \xrightarrow{O_3} \text{Ozonide} \xrightarrow{Zn/H_2O} 2 CH_2=O (ethene \rightarrow 2 formaldehyde)

Mechanism \rightarrow

  • It involves two steps:-
    1. Formation of ozonide \rightarrow Ethene reacts with ozone to form an ozonide intermediate.

Screenshot 2026-03-12 234814

 $$CH_2=CH_2 + O_3 \rightarrow \text{Ozonide (cyclic structure with 3 oxygen atoms)}$$
  1. Reduction \rightarrow Now ozonide reduced to form two carbonyl compounds.

Screenshot 2026-03-12 234824

 $$\text{Ozonide} \xrightarrow{Zn/H_2O} 2(CH_2=O) + ZnO$$
 (formaldehyde)

CONJUGATED DIENES

  • These are those type of organic compounds that contains two or more Carbon-carbon double bonds ($C=C$) separated by a single bond in alkenes.

Screenshot 2026-03-12 234858

e.g. CH3CH=CHCH=CH2CH_3-CH=CH-CH=CH_2

  • General structure \rightarrow R2C=CRCR=CR2R_2C=CR-CR=CR_2 where R=alkyl/hydrogenR = \text{alkyl/hydrogen}.
  • they contains, alternate double bonds. e.g. H2C=CHCH=CH2H_2C=CH-CH=CH_2 (1,3-Butadiene)

CHEMICAL REACTIONS

It undergoes following chemical reactions:-

  1. Electrophilic addition reactions
  2. Free radical reactions
  3. Diels-alder reactions

1. ELECTROPHILIC ADDITION REACTIONS

  • These are those reaction in which electrophile ($E^+$) added to the carbon atom and breakage of one double bond ($\pi$-bond) take places.
  • In this reaction, 1,3-Butadienes are react with halogens ($Br_2$) in the presence of an inert solvent ($CCl_4$) to give a mixture of two di-bromo compounds.

Screenshot 2026-03-12 234908

CH2=CHCH=CH2+Br2CH_2=CH-CH=CH_2 + Br_2 \rightarrow

  • CH2(Br)CH(Br)CH=CH2CH_2(Br)-CH(Br)-CH=CH_2 (1,2-addition, 3,4-dibromo-1-butene)
  • CH2(Br)CH=CHCH2(Br)CH_2(Br)-CH=CH-CH_2(Br) (1,4-addition, 1,4-dibromo-2-butene)

Mechanism

Screenshot 2026-03-12 235135

  1. Formation of carbocation CH2=CHCH=CH2+BrBrCH2(Br)C+HCH=CH2CH2(Br)CH=CHC+H2+BrCH_2=CH-CH=CH_2 + Br-Br \rightarrow CH_2(Br)-C^+H-CH=CH_2 \leftrightarrow CH_2(Br)-CH=CH-C^+H_2 + Br^-
  2. Combination of bromide with carbocation
    • \rightarrow 1,2-addition product
    • \rightarrow 1,4-addition product

2. FREE RADICAL ADDITION REACTIONS

  • Conjugated dienes can undergoes free radical reactions, which involves the addition of free-radical to the double bond carbon.
  • It involves the addition of 1,3-butadiene to bromotrichloromethane ($BrCCl_3$) in the presence of an peroxide to yield 1,2- and 1,4- addition products.

Screenshot 2026-03-12 235146

CH2=CHCH=CH2+BrCCl3CH_2=CH-CH=CH_2 + Br-CCl_3 \rightarrow

  • CH2(CCl3)CH(Br)CH=CH2CH_2(CCl_3)-CH(Br)-CH=CH_2 (1,2-addition)
  • CH2(CCl3)CH=CHCH2(Br)CH_2(CCl_3)-CH=CH-CH_2(Br) (1,4-addition)

Mechanism \rightarrow

  • It involves three steps:

Screenshot 2026-03-12 235207

  1. Chain initiation \rightarrow formation of free radicals. H2O22OHH_2O_2 \rightarrow 2 \cdot OH BrCCl3+OHH2O+Br+CCl3Br-CCl_3 + \cdot OH \rightarrow H_2O + Br^\bullet + \cdot CCl_3
  2. Chain propogation \rightarrow addition of free radicals to diene. $$CH_2=CH-CH=CH_2 + \cdot CCl_3 \rightarrow CH_2(CCl_3)-C^\bullet H-CH=CH_2 \leftrightarrow CH_2(CCl_3)-CH=CH-C^\bullet H_2$$
  3. formation of 1,2- and 1,4- addition products by reaction with BrCCl3BrCCl_3.

Screenshot 2026-03-12 235225

3. DIELS - ALDER REACTIONS * It involves the treatment of 1,3-Butadiene (conjugated dienes) with an alkene/alkyne to form cyclohexane.

  • It does not required any catalyst.
  • Diene + Dienophile (alkene/alkyne) \rightarrow Adduct (formed product).
  • Given by Paul Hermann Diels and Kurt Alder and get nobel prize.

Screenshot 2026-03-12 235241

1,3Butadiene (Diene)+Ethylene (Dienophile)200CCyclohexene (Adduct)1,3-\text{Butadiene (Diene)} + \text{Ethylene (Dienophile)} \xrightarrow{200^\circ C} \text{Cyclohexene (Adduct)}

Mechanism

  • It involves single step process, in which dienophile interact with diene and formed adduct.

Screenshot 2026-03-12 235250

  • In this, six-membered ring compounds are formed in large amount.

ALLYLIC REARRANGEMENT

  • It is a type of organic reaction where an allylic group (a functional group attached to carbon atom adjacent to a double bond) shift to a nearby position, results in more stable compounds.

Screenshot 2026-03-12 235344

e.g. C=CC(OH)C(OH)C=CC=C-C(OH) \rightarrow C(OH)-C=C


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Unit 2, Pharmaceutical Organic Chemistry 1, B Pharmacy 2nd Sem, Carewell Pharma
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