336 Relation between the Specific Gravities 



freater than that belonging to the required composition viay 

 e coupled or paired with some one ivhieh is less. 

 Fourthly^ Against each of these place the difference be- 

 tweeyi thai ivith ivhich it is so coupled or paired, and the 

 quotient belonging to the required compound. 



Fifthly, Then as the su7n of all these differences is to the 

 difference (or sum of the differences, if more than one,J 

 standing against each quotient, so is the specific gravity of 

 the required compound to the proportion of each by weight 

 which will produce it ; which proportion, divided by tlie re- 

 spective specific gravity of each before mixture^ gives that 

 of each by measure. 



Example. 



In order to make up 774 gallons of a compound which 

 shall be lOS (or 8 O.F.), at 30*, how much must I take of 

 each of five liquors, of which one is 127 (or 27 O.P.), an- 

 other 116 (or 16 O.P.), another 102 (or 2 O.P.), another 

 87 (or 13 U.P.), and another 67 (or 33 U.P.) ? 



Sobition. 

 Firstly, The specific gravity of 127 at 50° is = •88948 ; 

 that of 'll6 = -90473; that of 102 = -92239; that of 87 

 = -93954 ; that of 67 = -95827 ; and that of the required 

 compound of 108 = -91 498, by Problem III. 



h 



Secondly, The com' 

 pound ansv.-ering to S- = 100 Sp.-[- 37-89 W. 

 127 at 50" is J 



That answering to 1 16 is ^ 100 Sp. + 3ry53 W. 



• 102 is = 100 Sp. -^ 78-03 W. 



— 87is = 100W.-j-88-S3Sp. 



67 is = 100 V/. 4-55-07 Sp. 



And the required spirit is = 100 Sp. -J- G6-77 \V. 



Thirdly and fourthly, -v 

 The proportion by weight ( 

 or spirit m the required j _____ 

 compound is J 



•72522 



•65125 



•56170 

 -47042 

 •35513 



and 

 )>con-- 



tains 



•72522 



•65125 



by weight, 

 of Mr. Gil- 

 pin's aico- 



56-170 >^°''.f'^- 

 speciiic gra- 

 vity of 825 

 at 60". 



-170! 2 

 -.355!:} 

 -60101 



Alternate 

 Differences. 



•24588 

 r-0393] ■) _. 

 I •13051 J ~ 



•05024 



•05024 



•12421 



16990 



Sum of the differences s= •64047 



Fifthly, 



