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There are special terms associated with alcohol that require understanding for correct interpretation and conversion.
Proof strength is twice the percentage strength of alcohol. Therefore, 100 proof suggests 50% v/v absolute alcohol, while 200 proof suggests 100% v/v absolute alcohol. In reverse then, alcohol that is 90 proof is equivalent to 45% v/v alcohol.
An aqueous solution containing 50% v/v of absolute alcohol (100% v/v ethyl alcohol) is called a proof spirit. Alcohols of other percentage strengths are said to be above proof or below proof, depending on whether they contain more or less than 50% v/v of absolute alcohol.
Alcohol for manufacturing use may be purchased by the proof gallon. A proof gallon is a gallon by measure of proof spirit; that is, a gallon of 100 proof or 50% v/v absolute alcohol.
Q1. How many proof gallons are contained in 5 gallons of 75% v/v alcohol?
Q2. How many gallons of 20% v/v alcohol would be the equivalent of 20 proof gallons?