### 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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