$KO_2$ (superoxide): K = +1, let O = $x$
$$+1 + 2x = 0 \implies x = -\frac{1}{2}$$$H_2O_2$ (peroxide): H = +1, let O = $x$
$$2(+1) + 2x = 0 \implies x = -1$$$H_2SO_4$: H = +1, O = -2, let S = $x$
$$2(+1) + x + 4(-2) = 0 \implies 2 + x - 8 = 0 \implies x = +6$$Oxidation state (OS): hypothetical charge on an atom if all bonds were ionic. Rules in order of priority: (1) Free element: OS = 0. (2) Monoatomic ion: OS = charge. (3) F in compounds: always -1. (4) O in compounds: usually -2 (except peroxides -1, superoxides -1/2, ozonides -1/3, OF2: +2, O2F2: +1). (5) H in compounds: +1 (except metal hydrides: -1, e.g., NaH, CaH2). (6) In ionic compounds: OS = ionic charge. (7) Sum of OS = 0 for neutral molecule; = charge for ions. Electronegativity determines OS: more electronegative atom gets negative OS in a bond.
Oxide (O²⁻): OS = -2. Most common. Examples: Na2O, MgO, CaO, Fe2O3. Peroxide (O2²⁻): OS = -1. Examples: H2O2, Na2O2, BaO2. Characterised by O-O single bond. Superoxide (O2⁻): OS = -1/2. Examples: KO2, NaO2, CsO2. Paramagnetic (1 unpaired electron). Ozonide (O3⁻): OS = -1/3. Examples: KO3. Positive oxidation states: OF2 (fluorine more electronegative): O = +2. O2F2: O = +1. These are the only cases where O has positive OS. Important for NEET: memorise the special cases — peroxides and superoxides are frequently tested in oxidation state questions.
Two methods: Oxidation number method: (1) Identify atoms changing OS. (2) Find increase and decrease in OS. (3) Balance electrons by multiplying half-reactions. (4) Balance other atoms (H, O by adding H2O and H⁺). Half-reaction (ion-electron) method: (1) Separate into oxidation and reduction half-reactions. (2) Balance atoms (O by H2O, H by H⁺ in acid; OH⁻ and H2O in base). (3) Balance charge by adding electrons. (4) Multiply to equalise electrons. (5) Add half-reactions. Important redox reagents for NEET: KMnO4 (n=5 in acid, n=3 in neutral, n=1 in base). K2Cr2O7 (n=6). Na2S2O3 (n=1). SnCl2 (n=2). FeSO4 (n=1). H2O2 (n=2, both oxidising and reducing agent).
Disproportionation: same element simultaneously oxidised AND reduced. Example: Cl2 + NaOH → NaCl + NaOCl + H2O. Cl goes from 0 to -1 (NaCl) and +1 (NaOCl). H2O2 → H2O + O2 (O goes from -1 to -2 and 0). 2NO2 + H2O → HNO2 + HNO3 (N goes from +4 to +3 and +5). White phosphorus (P4) in NaOH → PH3 + NaH2PO2. Comproportionation (inverse of disproportionation): two different oxidation states of same element combine to give intermediate. Cu⁰ + Cu²⁺ → 2Cu⁺. SnO + SnO2 → Sn2O3 at high T. These are important conceptual reactions for NEET.
Standard reduction potential (E°) measures tendency to be reduced. More positive E° = stronger oxidising agent. More negative E° = stronger reducing agent. Series (high to low E°): F2 (+2.87V) > MnO4⁻/Mn²⁺ (+1.51V) > Cl2 (+1.36V) > Cr2O7²⁻ (+1.33V) > O2 (+1.23V) > Br2 (+1.09V) > Fe³⁺/Fe²⁺ (+0.77V) > I2 (+0.54V) > Cu²⁺/Cu (+0.34V) > H⁺/H2 (0.00V) > Pb²⁺ (-0.13V) > Ni²⁺ (-0.25V) > Fe²⁺ (-0.44V) > Zn²⁺ (-0.76V) > Al³⁺ (-1.66V) > Mg²⁺ (-2.37V) > Na⁺ (-2.71V) > Li⁺ (-3.04V). A metal higher in the series displaces metals below it from their salt solutions.
Permanganate titrations: KMnO4 (purple) acts as self-indicator. In acid (H2SO4): MnO4⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H2O. Equivalent weight = M/5 = 158/5 = 31.6 g/eq. Used to estimate: Fe²⁺ (iron in ore), oxalic acid (C2O4²⁻, n=2), H2O2 (n=2). Dichromate titrations: K2Cr2O7 + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H2O. n=6. Equivalent weight = M/6 = 294/6 = 49 g/eq. Indicator: diphenylamine or ferroin. Iodometric: I2/Na2S2O3. Cu²⁺ + I⁻ → CuI + I2 (n=1 for Cu). I2 + S2O3²⁻ → I⁻ + S4O6²⁻ (n=1 for S2O3). Cerimetry: Ce⁴⁺/Ce³⁺ used instead of KMnO4 (more stable, sharper endpoint).
Manufacture of H2SO4 (Contact process): S → SO2 → SO3 (V2O5 catalyst) → H2SO4. S oxidised from 0 to +4 to +6. Manufacture of HNO3 (Ostwald process): NH3 → NO (Pt/Rh catalyst, 900°C) → NO2 → HNO3. N goes from -3 to +2 to +4 to +5. Chlor-alkali process: 2NaCl + 2H2O → Cl2 + H2 + 2NaOH (electrolysis). Cl- oxidised to Cl2 at anode; H+ reduced to H2 at cathode. Thermite process: Al + Fe2O3 → Al2O3 + Fe. Al oxidised (0 to +3), Fe reduced (+3 to 0). Used in welding. Photography: AgBr + hv → Ag + Br (photoreduction of Ag⁺). Development: hydroquinone reduces remaining Ag⁺. Fixing: Na2S2O3 dissolves unexposed AgBr.
Oxidising agents (accept electrons, get reduced): F2, Cl2, Br2, I2 (halogens, in that order). KMnO4, K2Cr2O7 (strong, in acid). HNO3 (conc. and dilute, different products). H2SO4 (conc.). O3, H2O2 (in acidic conditions). MnO2. Reducing agents (donate electrons, get oxidised): metals (Li, Na, K, Mg, Al, Zn, Fe). H2, CO. H2S, HI, HBr, HCl (in that order, I⁻ strongest). Na2S2O3, SnCl2, FeSO4, oxalic acid. Dual nature (both oxidising and reducing): H2O2 (reducing with KMnO4, oxidising with KI). SO2 (reducing with KMnO4, oxidising with H2S). Cl2 (oxidising usually, but reducing with F2). NO2 (varies). Understanding which agent is stronger determines direction of reaction.