( 530 ) 



Tlie maximum is given by (Sc) and (8(/), viz. 



. e, - e~'^' = 0,8 ; q^ = 2q, — 32,4 2\, 

 giving <9, = 1,125, so g, = 20,8 1\ , g^ = 8,2 1\. 



In the following table some more data are given, which have been 

 used for the construction of fig. 5. 



Cui-ve I 1-iJTi =" ^ 3 5 8 10 15 20 25 30 40 50 100 150 



9i/y^ —1,09 3,09 4,ft() 7,13 8,37 10,7 11,9 12,3» 12,2^ 11,0 9,39 4,74 4,07' 



Curve II '}i/Ti= '^ ^ 4 6 8 10 15 20 30 40 60 100 

 92/7; =0,93 1,91 4,04 6,40 8,96 11,7 19,5 28,3 48,0 69,3 112^ 196 



Curve III '/s/j'i = 1 2 4 () 8 10 15 20 30 40 60 100 ^ 

 '/1/7-j = 1,14 2,33 4,88 7,65 10,6 13,8 22,5 :32,1 53,2 75,4 120 203 ^ 



Curve IV ïi/y; =1 3 5 8 10 15 20 25 30 40 50 100 150 , 

 72/7^^=0,87 2,45 3,815,46 6,32 7,67 8,09 7,82 7,08 4,93 2,68-2,8-3,53^ 



b. Let us now take 7\ = 0,1 T^, so tliat the two temperatures 

 of melting lie veri/ far apart. This case (see fig. 6) agrees more closely 

 with that for which T^ = 0,5 J'j ; only the maximum of the curve 

 II has got nearer to q^ :^ 4 7\, and the point of intersection of II 

 with I has moved much farther to the right. This has made the field 

 Bi considerably larger than in the case ^-/7\ = 0,5, which field had 

 nearly vanished for ^2/7; = 0,9. 



But neai'ly the whole of curve IV lies now outside the positive 

 region, so that the appearance of bi-concave meltingpoint-curves is 

 almost excluded. 



The maxinuim of i is detennined by 



^.-e-''=W ; q, = 2q^-4y,l\, 

 yielding ^, = 19. As 6», = -^, so q, = 47, 1\ , q^ being 4.0 7\. 



For the point of intersection of II with 1 we find, as e ' is very 

 large and c ' Aery small, 



q^ =. 4,0 T, , ^^ == 2 -7, - 4 2\ = 8,0 T, - 0,4 T, = 7,6 7\ 

 le ^,-a 



0,2 7\ 



The curve IV cuts the ^^-axis, when 



9. + 0,4 1\ 



9il 



so when 0,2/^'^' = |i + 0,2, 



