UPSC Civil Services (Mains), Chemistry optional · 2018 · Paper I
Q4(c)(ii). Vapour and gas from the critical temperature
Question
Account for the difference between vapour and gas on the basis of critical temperature.
Answer in brief
Above its critical temperature a substance cannot be liquefied by pressure alone; in that state it is a gas. Below T_c it can be liquefied by compression at constant temperature and can coexist with its liquid; in that state it is called a vapour.
Key points
- The critical temperature T_c is the temperature above which the liquid phase cannot be formed however high the pressure. On the isotherms, the horizontal (liquid + vapour) region shrinks as T rises and vanishes at the critical…
- Below T_c compression at constant T eventually condenses the substance (the flat part of the isotherm): it is a vapour, in equilibrium with its liquid at the vapour pressure.
- Above T_c compression only gives a denser fluid, with no meniscus and no condensation: it is a gas (a supercritical fluid at high pressure).
- CO₂ (T_c=304.2 K, 31.0°C) is a vapour at room temperature and is stored as a liquid in cylinders; N₂, O₂, H₂ and He have T_c far below room temperature, so they are gases and must be cooled below T_c before pressure can…
The full model answer
Written out in full, as it should go in the answer booklet. The solution page with its diagrams follows it.
- The critical temperature T_c is the temperature above which the liquid phase cannot be formed however high the pressure. On the isotherms, the horizontal (liquid + vapour) region shrinks as T rises and vanishes at the critical point.
- Below T_c compression at constant T eventually condenses the substance (the flat part of the isotherm): it is a vapour, in equilibrium with its liquid at the vapour pressure.
- Above T_c compression only gives a denser fluid, with no meniscus and no condensation: it is a gas (a supercritical fluid at high pressure).
- Examples: CO₂ (T_c=304.2 K, 31.0°C) is a vapour at room temperature and is stored as a liquid in cylinders; N₂, O₂, H₂ and He have T_c far below room temperature, so they are gases and must be cooled below T_c before pressure can liquefy them (Linde process).
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All parts of Question 4
- 4(a)(i) Crystal defects; stoichiometric defects10 marks
- 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