330 Relation leiiceen the Specific Gravities and 



Practical Rule. 



Find the given specific gravit?/ in the table adapted to tite 

 given temperature, and take out the correspondent numbers 

 from Column I. Search for these numbers in Column I of 

 the tabic for any other temperature, and the correspondent 

 specific gravity is that tvhich is required. 



Examples. 



If a liquor have the Specific gravity of 864 at 77", what 

 ■will it have at 43°? 



Solution. 



Looking for 864 in Column II of the table for 77", we 

 find that the nearest numbers are 863 "82 and 865-14 (or, 

 which amounts to the same thing, -86382 and .8.6514, 

 Mr. Gilpin considering the speciiic gravity of distilled water 

 as represented by unitv instead of 1000 [see Note on § 5]) ; 

 whilst 100 Sp. + 27 W., and lOO Sp. + 28 W., are also 

 the correspondent numbers in Column I. Taking propor- 

 tional parts, therefore, 864 in Column II answers to a liquor 

 which, according to Column I, contains 100 parts of Mr- 

 Gilpin's alcohol combined with 27* 14 by ^^•eight of water; 

 and again, looking for this same compound in Column I of 

 the table for 43°, we find in like manner that the corre- 

 spondent specific gravity at that temperature, as expressed 

 in Column II of that table, is 879-85. 



§ 32. Problem IT. — To find the per-centage of any li" 

 qiLor whose specif c gravity and temperature are given. 



Practical Rules. 



Look into Column II of the table answering to the given 

 temperature for the given specific gravity, and take out the - 

 correspondent number from Column Fill. Multiply 162*43 

 by this number, and the product is the answer. 



Or, add 2-2106308 to the logarithm of the number so 

 found in Column Fill, and the sum will be the logarithm 

 (f the per-centage. 



Examples. 



r. What is the per-centage of a liquor whose specific 

 gravity at 48° is 887 ? 



Solution. 

 We must here, firstlv, look into Column II of the table 

 marked " heat 48°" for 887. The nearest numbers are 

 886-00 and 887-16. The correspondent numbers in Co- 

 lumn VIII are against the former -3014, and against the 



l-alter 



