UPSC Civil Services (Mains), Chemistry optional · 2018 · Paper I
Q4(d)(ii). Three liquid–liquid phase diagrams
Question
Label and compare the phase diagrams given above: q4dii_q
Answer in brief
They are temperature–composition diagrams of partially miscible liquid pairs. (1) Dome: upper critical solution temperature (phenol–water, about 66°C). (2) U: lower critical solution temperature (triethylamine–water, about 19°C). (3) Closed loop: both (nicotine–water, 61°C and 210°C). Inside each curve two liquid layers coexist; outside it there is one liquid phase.
Key points
- (1) Upper CST (phenol–water, also hexane–nitrobenzene): mutual solubility rises on heating; the two branches meet at the top, the upper critical solution temperature T_(uc), above which the liquids mix in all proportions.…
- (2) Lower CST (triethylamine–water): the liquids are miscible in all proportions below T_(lc)≈ 19°C (292 K) and separate above it. At low T they form weak (hydrogen-bonded) complexes; heating breaks them.
- (3) Closed loop (nicotine–water): both effects, two layers only between T_(lc)=61°C and T_(uc)=210°C (under pressure). Complexes break above 61°C; above 210°C thermal motion makes them miscible again.
- in all three, a tie line across the two-phase region links the compositions of the two conjugate layers, and the lever rule gives their amounts. They differ in where the miscibility gap lies: below T_(uc) in (1), above T_(lc)…
The full model answer
Written out in full, as it should go in the answer booklet. The solution page with its diagrams follows it.
- (1) Upper CST (phenol–water, also hexane–nitrobenzene): mutual solubility rises on heating; the two branches meet at the top, the upper critical solution temperature T_(uc), above which the liquids mix in all proportions. Mixing is endothermic; heating overcomes the like–like attractions.
- (2) Lower CST (triethylamine–water): the liquids are miscible in all proportions below T_(lc)≈ 19°C (292 K) and separate above it. At low T they form weak (hydrogen-bonded) complexes; heating breaks them.
- (3) Closed loop (nicotine–water): both effects, two layers only between T_(lc)=61°C and T_(uc)=210°C (under pressure). Complexes break above 61°C; above 210°C thermal motion makes them miscible again.
- Comparison: in all three, a tie line across the two-phase region links the compositions of the two conjugate layers, and the lever rule gives their amounts. They differ in where the miscibility gap lies: below T_(uc) in (1), above T_(lc) in (2), between the two in (3).
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All parts of Question 4
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- 4(a)(ii) Conduction in semiconductors5 marks
- 4(b)(i) Why PVᵞ is constant in an adiabatic and PV in an isothermal change5 marks
- 4(b)(ii) Cold air descending into a valley5 marks
- 4(c)(i) Effusion of H₂ and N₂ through a fine glass filter10 marks
- 4(c)(ii) Vapour and gas from the critical temperature5 marks
- 4(d)(i) Slopes of the fusion and sublimation curves of water5 marks
- 4(d)(ii) Three liquid–liquid phase diagrams5 marks