BY HEAT OF METALS AND ALLOYS. 



875 



Table VIII. 



Alloy. Moan correction formula.' for cubicnl cxpansiim by heat. 



Sn,Pb V,= V„(l + 10-*xO-6200/+10-'xO-0988/0 



Pb.Sn V,= Vo(l + 10-^xO-8087/+10-«xO'0332<') 



Cd Pb V,= Vo(l + 10-*xO-9005/+10-'xO-01.3.30 



Sn.Zn V,= V„(l + 10-*x0-6377i+10-''x0-0807O 



Sn.Zn V,=Vo(H-10-*x0-6236<+10-«x0-0822/») 



Bi„Sn V,= Vo(l + 10-'xO-3793/ + 10-«xO-027lO 



Bi Sn, V,=V<,(l + 10-'xO-4997/+10-'>xO-0101<=) 



Bi,,Pb V,=Vo(l + 10-*xO-3868/+10-'xO-0218<=; 



Bi Pb, V,=Vo(H-10-'x 0-8462^+ lO-'xO-OlSgO 



Cu + Zn (71 percentCu) . . . V,=V„(1 +10-*x0-ol6l<+ lO-^xO-OSSSf") 



Au Sn, V,= Vo(l + 10-*xO-3944/+10-»xO-0289<') 



Au.Sn, V,= V„(H-10-*x0-4j65<+10-'x0-0263<') 



Ag.Au V,=Vo(l + 10-* X 0-51660 



Ag Au V,= Vo(l + 10-' X 0-49160 



Ag Au, V,=V<<H-10-*xO-3J15/+10-'xO-1185/') 



Ag+Pt (66-6 per cent. Ag) . . V,=Vo(l + 10-* X 0-4246/+ Ifl-^x 0-0322<') 

 Au + Cu (66-6 percent. Au) , . V,=V„(1 + 10-' X 0-4015/+ IQ-'x 0-0642^) 



Ag + Cu (36-1 percent Ag) . . V,=Vo(l + 10-*xO-4884<+10-«xO-05620 



Ag + Cu (71*6 per cent. Ag) . . V,=V„(l + 10-*x 0-4413^+ Ifl-'x 0-130<-) 



Alloy. 



Sn, 

 Pb, 

 Cd 

 Sn, 



Sn„ 



Bi 



Bi.. 



Bi 



Pb 

 Sn 

 Pb 

 Zn 

 Zn 

 Sn. 

 Sn, 

 Pb 

 Pb, 



Au, 

 Ag 

 Ag 

 Ag AUj 



Ag + Pt (66-6 per cent. Pt) . 

 Au + Cu (66-6 per cent. Au) 

 Ag + Cu (31-6 per cent. Ag) 

 Ag + Cu (76-1 per cent. Ag) 



Table IX. 



Correction formuke for linear expansion by beat. 



Cu+Zn(71 per cent. Cu) . . 

 Au Sn, 



Sn 



Au 



Au, L, = L„(1 + 



L, = Lo(l + 



L, = Lo(l + 1 0-* X 0-2066/ + 1 0-" X 0-0329/=) 

 L, = Lo(l + 10-'xO-2696<+10-"x00111<-) 

 L, = Lo(l + 10-' x 0-.3002/+ 10" X 00044/=^) 

 L, = L„(l + lO-' X 0-2126/+ 10-' X 0-0269O 

 L, = Lo(l + 10-'xO-2079/ + 10-«xO-02740 

 L, = Lo(l + 10-* X 0-1264i+ 10-" X 0-0090/=) 

 L, = Lo(l + 10-*xO-l666^+10-«xO-0034<=) 

 L, = L„(l + 10-* X 0-1293/+ 10-« X 0-007.3/=) 

 L, = Lo(l + 10* X 0-2821/+ lO" X 0-0053/=) 

 L, = L,;(l + 10-* X 0-1720/+ 10-« X 0-0186/=) 

 L, = Lo(l + 10* x01315^+ 10-' X 0-0096/=) 

 L, = Lo(l + 10-* X0-1388/+ 10-' X 0-0088/=) 

 L, = Lo(l + 10-*;< 0-1722/) 

 10-* X 0-1638/) 



10-* X 0-1038/+ 10-' X 0-0395/=) 

 10-* X 0-1415/+ 10' X 0-0107/=) 

 10-* X 0-1 338/+ 10-' X 0021 4/') 

 10-*X 0-1628/+ 10-' X 0-0182/=) 

 10~*x0-1471/+10-"x0-0433^) 



. L, = Lo(l + l 



. L, = L^1 + 1 



. L, = I^1 + 1 



. L, = L„(1 + 1 



In Table X. the observed and the calculated cubical eximnsion by heat, between 

 0" and 100°, of the above alloys are given. The calculations are based on th§ assumption 

 that the coefficient of expansion of an alloy is equal to the mean of the coefficients of 

 the component metals (expressed in volumes). 



