the word "proof" on alcoholic beverages is defined as twice the percentage by volume. How many ml of alcohol are in a one-liter bottle of 80-proof gin?
80 proof means 40% v/v alcohol.
% v/v means 40 g solute/100 mL solution.
So if 40 g alcohol are in 100 mL, how much is in 1000 mL?
To determine the amount of alcohol in a one-liter bottle of 80-proof gin, we'll need to apply the definition of "proof". As per the definition, the term "proof" is twice the percentage by volume of alcohol.
Step 1: Calculate the percentage of alcohol in the 80-proof gin.
Since the term "proof" is twice the percentage, we can divide the proof value by 2 to get the percentage. In this case, 80 divided by 2 equals 40%.
Step 2: Determine the volume of alcohol in milliliters.
To get the volume of alcohol in milliliters, we multiply the percentage by the total volume of the gin bottle. In this case, the total volume is 1 liter, which is equivalent to 1000 milliliters. So, we multiply 40% by 1000 milliliters.
Step 3: Calculate the amount of alcohol in the gin bottle.
To calculate the amount, multiply the volume of alcohol in milliliters by the decimal form of the percentage. So, 40% (or 0.4 in decimal form) multiplied by 1000 milliliters gives us the answer.
Doing the math: 0.4 x 1000 ml = 400 ml.
Therefore, there would be 400 ml of alcohol in a one-liter bottle of 80-proof gin.