3.2.8p-Block

Sulfur — allotropes (rhombic, monoclinic); SO₂, SO₃; H₂SO₄ (Contact process); oxoacids of S

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1. Allotropes of Sulfur

WHAT they are made of: Both rhombic and monoclinic sulfur consist of S₈ puckered (crown-shaped) rings. The difference is only in how the rings pack in the crystal lattice — not in the molecule itself.

WHY this temperature matters (Feynman logic): A substance adopts whichever form has lower free energy (GG). Rhombic packs tighter (denser, 2.06g/cm32.06\,\text{g/cm}^3) so it wins at low TT (low entropy favoured). Monoclinic is looser (lower density 1.98g/cm31.98\,\text{g/cm}^3, higher entropy) so as TT rises the TS-TS term makes it win.

Property Rhombic (α) Monoclinic (β)
Stable < 369 K 369–393 K
Colour yellow pale/honey yellow
Density 2.06 g/cm³ (denser) 1.98 g/cm³
Molecule S₈ crown ring S₈ crown ring
How made crystallise from CS₂ melt S, cool slowly, decant
Figure — Sulfur — allotropes (rhombic, monoclinic); SO₂, SO₃; H₂SO₄ (Contact process); oxoacids of S

2. The Oxides: SO₂ and SO₃

Preparation (HOW): S+O2SO2Cu+2H2SO4(conc)CuSO4+SO2+2H2OS + O_2 \rightarrow SO_2 \qquad\qquad Cu + 2H_2SO_4(\text{conc}) \rightarrow CuSO_4 + SO_2 + 2H_2O Na2SO3+2HCl2NaCl+H2O+SO2Na_2SO_3 + 2HCl \rightarrow 2NaCl + H_2O + SO_2

Structure & WHY bent: S has 2 bond pairs + 1 lone pair → bent (angular), bond angle ≈ 119°. Resonance gives bond order 1.5 (both S–O equivalent, length ~143 pm, between single and double).


3. Manufacture of H₂SO₄ — Contact Process

The three stages (HOW):

Stage 1 — make SO₂: S+O2SO2or4FeS2+11O22Fe2O3+8SO2S + O_2 \rightarrow SO_2 \qquad\text{or}\qquad 4FeS_2 + 11O_2 \rightarrow 2Fe_2O_3 + 8SO_2

Stage 2 — the key catalytic step (heart of the process): 2SO2+O2  V2O5, 720K  2SO3ΔH=196 kJ/mol2SO_2 + O_2 \;\underset{}{\overset{V_2O_5,\ 720\,\text{K}}{\rightleftharpoons}}\; 2SO_3 \qquad \Delta H = -196\ \text{kJ/mol}

Stage 3 — absorb SO₃ (the clever trick): We do NOT add SO₃ directly to water (forms a dense uncontrollable acid mist). Instead: SO3+H2SO4H2S2O7 (oleum, fuming sulfuric acid)SO_3 + H_2SO_4 \rightarrow H_2S_2O_7 \ (\text{oleum, fuming sulfuric acid}) H2S2O7+H2O2H2SO4H_2S_2O_7 + H_2O \rightarrow 2H_2SO_4


4. Oxoacids of Sulfur

Acid Formula S oxid. state Key feature
Sulfurous H2SO3H_2SO_3 +4 one S=O missing vs sulfuric
Sulfuric H2SO4H_2SO_4 +6 2 =O, 2 –OH
Thiosulfuric H2S2O3H_2S_2O_3 +2 (avg) one O replaced by S
Pyrosulfuric (oleum) H2S2O7H_2S_2O_7 +6 –O– bridge between two S
Peroxomonosulfuric (Caro's) H2SO5H_2SO_5 +6 one –O–O– peroxo link
Peroxodisulfuric (Marshall's) H2S2O8H_2S_2O_8 +6 –O–O– bridge between two S
Dithionous H2S2O4H_2S_2O_4 +3 S–S bond

What are the two common crystalline allotropes of sulfur?
Rhombic (α) and monoclinic (β), both made of S₈ crown rings.
Transition temperature of rhombic ⇌ monoclinic sulfur?
369 K (96 °C).
Below 369 K which sulfur allotrope is stable?
Rhombic (α) — denser (2.06 g/cm³).
Why is rhombic favoured at low T and monoclinic at high T?
Rhombic is denser (lower enthalpy) so wins at low T; monoclinic has higher entropy so the −TS term makes it win at high T.
What is plastic sulfur made of?
Long S–S chains (from broken S₈ rings), amorphous and metastable.
Shape and bond angle of SO₂?
Bent/V-shaped, ~119°, due to 2 bond pairs + 1 lone pair; bond order 1.5.
Oxidation state of S in SO₂ and what does it imply?
+4; intermediate, so SO₂ can be both oxidising and reducing.
Shape of gaseous SO₃ and oxidation state of S?
Trigonal planar; S is +6.
Name the three stages of the Contact process.
(1) burn S to SO₂; (2) catalytic 2SO₂+O₂⇌2SO₃ over V₂O₅; (3) absorb SO₃ in conc. H₂SO₄ → oleum → dilute.
Catalyst used in the Contact process?
V₂O₅ (vanadium pentoxide).
Why a moderate temperature (~720 K) in Stage 2?
Reaction is exothermic; low T favours SO₃ but is slow, so 720 K is a yield–speed compromise.
Why isn't high pressure used in Contact process?
Conversion is already ~96% near 1–2 atm, so high pressure isn't cost-effective.
Why is SO₃ absorbed in H₂SO₄, not water?
Direct SO₃+H₂O forms an uncontrollable acid mist/fog; oleum route is controllable.
What is oleum?
Fuming sulfuric acid, H₂S₂O₇ (SO₃ dissolved in conc. H₂SO₄).
Oxidation state of S in H₂SO₄?
+6.
Which oxoacid contains an S–S bond and what is S's average state?
Dithionous acid H₂S₂O₄ (or thiosulfate area); thiosulfuric H₂S₂O₃ has S–S with avg +2.
Which two oxoacids contain a peroxo (–O–O–) link?
Caro's acid H₂SO₅ and Marshall's acid H₂S₂O₈.
Difference between Cl₂ and SO₂ bleaching?
Cl₂ bleaches by oxidation (permanent); SO₂ by reduction (temporary, colour returns in air).
Recall Feynman: explain to a 12-year-old

Sulfur atoms LOVE holding hands with other sulfur atoms. Eight of them join hands in a little crown-shaped ring (S₈). You can stack these crowns two neat ways — one tight (rhombic) and one looser (monoclinic) — just like stacking oranges in two different patterns. Heat them and the crowns break and the atoms form long chains (rubbery plastic sulfur). When sulfur burns it grabs oxygen to make a smelly gas (SO₂), and with extra effort and a helper (the catalyst) it grabs even more oxygen (SO₃). Dunk that carefully into acid and you get sulfuric acid — the "king of chemicals." The whole trick in the factory is: the SO₃-making step gives off heat, so if you make it too hot it goes backwards — so you keep it warm-not-hot and use a helper to hurry it.

Connections

Concept Map

prefers

forms

packs as

packs as

369 K transition temp

breaks above 160 C

burns +4

oxidised +6

dissolves

both redox

enables

Sulfur Group 16

S-S single bonds catenation

S8 crown rings

Rhombic alpha

Monoclinic beta

Plastic sulfur chains

SO2 bent acidic

SO3

H2SO4 Contact process

Oxoacids of S

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Dekho, sulfur ka pura khel ek baat pe tika hai: sulfur atoms ek dusre ke saath S–S single bond bana ke chain ya ring banana pasand karte hain (isko catenation kehte hain), jabki oxygen O=O double bond banata hai. Isi wajah se sulfur S₈ crown-shaped ring banata hai. Yehi ring do tarah se pack hoti hai crystal me — rhombic (α) jo 96°C ke neeche stable hai aur zyada dense hai, aur monoclinic (β) jo 369 K (96°C) ke upar stable hai. 96°C ko transition temperature kehte hain — yahan dono saath rehte hain. Garam karo toh rings toot ke lambi chains banti hain → plastic sulfur (rubbery).

Ab oxides: SO₂ me S ka oxidation state +4 hai, isliye yeh dono kaam kar sakta hai — oxidising bhi, reducing bhi. SO₂ bend (V-shape) hota hai kyunki ek lone pair hai. SO₃ me S +6 pe hai, planar triangle shape. SO₃ banana hi asli mehnat ka kaam hai.

Contact process yaad rakho 3 steps me: pehle sulfur jala ke SO₂; phir 2SO₂ + O₂ ⇌ 2SO₃ banao V₂O₅ catalyst ke saath, ~720 K pe (kyunki reaction exothermic hai — zyada garam karoge toh reaction ulta chala jayega aur SO₃ kam banega, isliye "compromise temperature"). Pressure kam (1–2 atm) hi kaafi hai kyunki conversion already ~96% hai. Last step me SO₃ ko paani me direct mat ghulao — warna acid ka uncontrollable mist ban jata hai; isliye SO₃ ko conc. H₂SO₄ me ghula ke oleum (H₂S₂O₇) banate hain, phir control se paani milate hain.

Oxoacids me bas pattern dekho: =O, –OH, –O– bridge, –O–O– peroxo, S–S — inhe gino aur naam/oxidation state nikal lo. "Per" matlab peroxo pair (Caro's H₂SO₅, Marshall's H₂S₂O₈), "thio" matlab ek oxygen ki jagah sulfur (H₂S₂O₃). Exam me yeh sab points bar-bar aate hain, toh diagram aur table ratne se zyada logic samajh lo — phir kabhi nahi bhoolega.

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Connections