the Strengths and Values of Spirituous Liquors. 335 



The resuUino; compound will therefore be found to be 



equal ui strength to one composed of lOO parts by weight 



.of Mr. Gilpin's alcohol with 78-88 of water, and which is, 



by Problem II, = 100-765 (= about ^ or 3 quarts O.P.) 



at 67°. 



§ 37. Problem VII.^ — To Jlnd the quantity ly measure 

 which will be produced by a mixture of given quantities of 

 different strengths at any given temperature, as in the last 

 problem. 



Practical Rule. 



Divide the sum of the products found in the frst step of 

 the preceding process by the tabular specific gravity of the 

 resulting compoundy and tlie quotient will he the quantity 

 ly vicasure produced. 



Example. 



What quantity of the compound shall we have under the 

 circumstances stated ni the example to the last problem? 



Solution. 

 The tabular specific gravity of the resulting compound of 



100-763 (or ^ O.P.) at 67° is -91558: and }22£11 —. 



* •y,55i, 



3380-43 gallons at that temperature. 



Note. The sum of the quantities mixed in the present 

 instance was 33S2 gallons; so that the concentration by 

 mixture in this case was about six quarts. 



§ 38. Problem VIII. — To find what proporiiovs, by 

 weight or measure, of any number of liquors of different 

 strength, but at the same temperature, must be mixed toge- 

 ther in or del- to produce a compound ivhich shall be of any 

 required strength between that cf the strongest and the 

 weakest of them at that temperature. 



Practical Rule. 



Tirstly, Find the specific gravity of each liquor, and also 

 that of the required compound at the given temperature, by 

 Problem HI. 



Secondly, Find the compound corresponding to each of the 

 given liquors, and also to the required compound, in Co- 

 lumn I, and divide the weight (f the spirit in each compound 

 ly the sum of the weights of its spirit and water. 



Thirdly, Range the quotients belonging to these given 

 liquors in any converiient order, and couple or pair them to- 

 gether by curves or ciraimfiexes, so that every one which is 



I greater 



