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Please, see below the liquid-vapor phase diagram of the ethanol/water mixture at

ID: 553278 • Letter: P

Question

Please, see below the liquid-vapor phase diagram of the ethanol/water mixture at p=1 ATM. Mark each area of the phase diagram with the number of phases present and variance (P and F'). What will be present in each area of the diagram? What is the azeotrope composition of this mixture? At what temperatures do the mixtures of the following composition boil (here, x_a is the mole fraction of ethanol in the liquid mixture: (read rest in image) 4. Please, see below the liquid-vapor phase diagram of the ethanol/water mixture at p-1 atm. Mark each area of the phase diagram with the number of phases present and variance (P and F"). What phases will be present in each area of the diagram? What is the azeotrope composition of this mixture? At what temperatures the mixtures of the following compositions will boil (here, xa is the mole fraction of ethanol in the liquid mixture): (0) pure water: (ii) xA-0.21: (i)-0.62(iv) azeotrope; (v) pure ethanol? What will be the compositions of the vapor phase-produced when boiling takes place in each case? Data taken from Dotmund Data Bank Vapor-Liquid Equilibrium Mixture of Ethanol and Water 374 372 370 368 366 364 362 P-101.325 kPa Vapor Composition 360 358 356 354Liquid Composition 3521... 350 1L 01 02 03 04 05 06 07 08 09 pne Pure Pure Water Mole Fraction of Ethanol [mol/imol]Ethanol

Explanation / Answer

The region between the phase lines is a 2 phase region.

Therefore F'=1 (Mathematically it is 2 but as the pressure is constant one degree of freedom has been discarded).

The regions outside the phase lines indicate a single phase region. Therefore F'=2 (same reasoning).

The mixture of ethanol and water shows positive deviation from Raoult's law.The azeotropic composition of this mixture is 95.6% ethanol and 4.4% water by mass.

The Temperature corresponding to each mole fraction on phase line of Liquid composition represents the Boiling Temperature.

Boiling temperatures of the mixture are as follows:

(i) Pure water, 374K , xB=1

(ii) xA =.21, T=356K , xB=.55

(iii) xA = .62 , T=352.5K, xB=.675

(iv) Azeotrope , T=351.35K, xB=.75

(v) Pure ethanol , T=351.55, xB=0