Algebraic/Alligation method for specific gravity
Algebraic method and Alligation method can also be used in solving problems involving specific gravities of liquids as demonstrated below
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Solved Problem: What is the specific gravity of a mixture of 1000 ml of syrup with a specific gravity of 1.3; 400 ml of glycerin with a specific gravity of 1.250; and 1000 ml of an elixir with a specific gravity of 0.950? Approach: using the algebraic method and replacing concentration (C) with the specific gravity $$ V^1C^1 + V^2C^2 + V^3C^3 = V^nC^n$$ $$ 1000 \times 1.3 + 400 \times 1.250 + 1000 \times 0.950 = {(1000 + 400 + 1000) \times C^n} $$ $$ 1300 + 500 + 950 = (2400) \times C^n $$ $$ Specific \ gravity = {2750 \over 2400 } $$ Answer: 1.146 |
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Solved Problem: In what proportion must glycerin with a specific gravity of 1.25 and water be mixed to prepare a liquid having a specific gravity of 1.1? Approach: 
0.1 : 0.15 or 2:3 Answer: 2 : 3 |