Alcohol proof general calculation

1. Units and Conversion 1.4) Alcohol proof 1.4.1) Alcohol proof

1.4.1.1) Alcohol proof Normal 1


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Express 4 gallons of 90 v/v alcohol in terms of the number of proof gallons.


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lb equals 7.2 g kg

    Alcohol proof is defined as twice the volume percentage of ethanol (measured at 60 °F)
    Example 1: At 80 proof (40% alcohol) would be 0.8 proof gallons per gallon of liquid.
    Example 2: At 125 proof (87.5% alcohol), a gallon of liquid would be 1.25 proof gallons
    Thus, 90 % v/v percent will be 2 × 90 = 180 proof, which is 1.8 proof gallons per gallon of liquid.
    This is a volume expansion or concentration dilution type problem. The essential formula is `Q_1C_1 = Q_2C_2`.
    Here,

    `Q_1` = initial quantity = `4\quadGal`.
    `C_1` = initial concentration = `90 %`v/v
    `Q_2` = final quantity = `?\quad Gal`.
    `C_2` = final concentration = `50%`v/v

    Therefore, rearranging the formula, we get:
    `Q_2 = (Q_1×C_1)/(C_2)` `therefore Q_2 = (4 × 90) /50=7.2` proof gallons, Ans.


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