The phase rule and its applications . 161 84-8 no° 177 80-o 130° 21-8 71-9 140° 26*0 64*0 151-8° 44 -2 442 Rothmund, loc. cit. SOLUTIONS :©3 These numbers and Fig. 23 show clearly the occurrence ofa minimum in the solubility of the ketone in water, and also aminimum (at about io°) in the solubility of water in mcthyl-ethylketone. Minima of solubility have also been found inother cases. Triethylamine and Water.—Although in most of the casesstudied the solubility of one liquid in another increases withrise of temperature, this isnot so in all cases. Thus,at temperatures below 180,triethylamine a


The phase rule and its applications . 161 84-8 no° 177 80-o 130° 21-8 71-9 140° 26*0 64*0 151-8° 44 -2 442 Rothmund, loc. cit. SOLUTIONS :©3 These numbers and Fig. 23 show clearly the occurrence ofa minimum in the solubility of the ketone in water, and also aminimum (at about io°) in the solubility of water in mcthyl-ethylketone. Minima of solubility have also been found inother cases. Triethylamine and Water.—Although in most of the casesstudied the solubility of one liquid in another increases withrise of temperature, this isnot so in all cases. Thus,at temperatures below 180,triethylamine and watermix together in all propor-tions; but, on raising thetemperature, the homo-geneous solution becomesturbid and separates intotwo layers. In this case,therefore, the critical solu-tion temperature is foundin the direction of lowertemperature, not in thedirection of This behaviour is clearly shown by thegraphic representation in Fig. 24, and also by the numbers inthe following table :— Triethylamine and 10- 20 30 40 50J 60 70J 30 90 Fig. 24. Temperature. Ci per cent. C2 per cent. 700 1-6 50° 2-9 — 30° 56 96 250 73 95-5 20° i55 73 + 18-5° ± 30 ±30 General Form of Concentration-Temperature Curve.—From the preceding figures it will be seen that the general 1 A similar behaviour is found in the case of diethylamine and water(R. T. Lattey, Phil. Mag., 1905 [6], 10, 397). See also, Rothmund,Zcitschr. pliysikal. 1898, 26. 433 ; Flaschner, ibid., 190S, 62, 493. 104 THE PHASE RULE form of the solubility curve is somewhat parabolic in shape;in the case of triethylamine and water, the closed end of thecurve is very flat. Since for all liquids there is a point (criticalpoint) at which the liquid and gaseous states become identical,and since all gases are miscible in all proportions, it followsthat there must be some temperature at which the liquidsbecome perfectly miscible. In the case of triethylamine andwater, which has just been considere


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