How to Dilute a Beverage to a Desired Percentage
I’m trying to figure out how much liquid mixer I’d need to mix with one shot of 80 proof liquor to make the ending beverage equivalent to a girly malt beverage or a beer.
As someone who prefers cocktails to wine or beer, a strong drink is great, but sometimes it knocks me off my ass a little too quickly. I’ve also got a pretty low alcohol tolerance, so even when drinking beers with buddies, I tend to be the first one catching a buzz. Off of the first beer. Heh, lightweight. (And it makes drinking that boot of bier on my birthday all the more impressive!)
I also tend to drink whatever’s in front of me at a pretty quick clip, even when sipping. One of my girlfriends is the complete opposite and can take a long time to finish any beverage in front of her, be it beer or soda.
Combine a strong drink and a quick drinker, and that’s a recipe for getting drunk pretty quickly! And believe it or not, there are times I don’t feel like getting completely snookered in the blink of an eye. (I mean it’s rare, but still… it happens)
Essentially: How many ounces of mixer do I need for 1.5 oz of liquor at 40% to get the entire solution down to 5% alcohol by volume?
One shot = 1.5 oz
80 proof = 40% alcohol by volume
Since I have a small but strong solution, I can dilute it to a weaker, larger solution using the Dilution Calculation:
C1*V1=C2*V2
C = Concentration V = Volume
My initial concentration is .40 alcohol (or 40%), so C1 = .4
My initial volume is 1.5 oz, so V1 = 1.5 oz
My desired concentration is .05 (or 5%), so C2 = .05.
My desired volume is what we are trying to figure out, so V2 =?
I’ll switch the dilution formula around to meet my needs:
V2 = (C1*V1)/C2
V2 = (.40 * 1.5 oz)/.05
V2 = 12 oz
Now math lovers, if I’m thinking correctly, V2 is going to be my TOTAL ending volume, so my mixer will actually be 12 oz – 1.5 oz = 10.5 oz of mixer since I’ll want to account for the initial 1.5 oz shot in the drink.
Through the glorious power of math and science, it looks like I will need 10.5 oz of non-alcoholic mixer added to my 1.5 oz of rum, vodka, gin, or what have you to make an easy-to-drink 5% solution.
Ah, my high school chem teacher Doc would be proud. Maybe. Well, he'd at least hit your desk really hard with his yard stick, and oh how I wish that were a euphemism for something more risqué.
Labels: beverage, number crunching goodness, quirky

