Mixed Drink ABV Calculation - Home Brew Forums

Register Now!
Home Brew Forums > Home Brewing Beer > Brew Science > Mixed Drink ABV Calculation

Reply
 
Thread Tools
Old 12-10-2012, 02:06 AM   #1
nullvalue
Recipes 
 
Mar 2012
Crown Point, Indiana
Posts: 29
Liked 1 Times on 1 Posts



Ok, maybe I'm making this more complicated than I have to but could I get a little help figuring this out? This year we've made "Apple Pie Liquor".. we bottle it in mason jars and give it as gifts for Christmas. Tastes sooo good! I want to make labels this year with the ABV on it..

the recipe consists of..

1.5 gal Apple Juice @ 0% ABV
1 gal Apple Cider @ 0% ABV
6 cups Everclear @ 95% ABV
1 cup Buttershots @ 15% ABV
1 cup Gold Schlager @ 43.5% ABV

So what would my total ABV be? My calculations put me at about 13% but that sounds too low.

If anyone's interested in the rest of the recipe (yields about 12 qts)..

Bring Apple Juice + Cider + Spices to boil, simmer 20 minutes
(Spices: 2 tsp apple pie spice, 10 cinnamon sticks, 2 cup brown sugar)
Cool to room temp, add alcohol + 2 tbs vanilla, mix thoroughly, transfer to jars.

 
Reply With Quote
Old 12-10-2012, 02:10 AM   #2
annasdadhockey
Recipes 
 
Jan 2009
Kingston, PA
Posts: 1,761
Liked 41 Times on 35 Posts


Quote:
Originally Posted by nullvalue View Post
Ok, maybe I'm making this more complicated than I have to but could I get a little help figuring this out? This year we've made "Apple Pie Liquor".. we bottle it in mason jars and give it as gifts for Christmas. Tastes sooo good! I want to make labels this year with the ABV on it..

the recipe consists of..

1.5 gal Apple Juice @ 0% ABV
1 gal Apple Cider @ 0% ABV
6 cups Everclear @ 95% ABV
1 cup Buttershots @ 15% ABV
1 cup Gold Schlager @ 43.5% ABV

So what would my total ABV be? My calculations put me at about 13% but that sounds too low.

If anyone's interested in the rest of the recipe (yields about 12 qts)..

Bring Apple Juice + Cider + Spices to boil, simmer 20 minutes
(Spices: 2 tsp apple pie spice, 10 cinnamon sticks, 2 cup brown sugar)
Cool to room temp, add alcohol + 2 tbs vanilla, mix thoroughly, transfer to jars.
That's what I come up with, too.
__________________
Anybody can be a rockstar when the rest of the room is wearing helmets and drooling on themselves.

Quote:
Originally Posted by dfc View Post
Things are going great too. I think I've only punched her in the face 3 times!
FERMENTING: Heady Topper Clone?
CONDITIONING: 40 gallons KBS clone in a Jim Beam Barrel (since 11/24/12)
DRINKING: Smoked Robust Porter, Orange Coriander Pale Ale #5
THINKING: first foray into lagers?

 
Reply With Quote
Old 12-10-2012, 02:21 AM   #3
Qhrumphf
Stay Rude, Stay Rebel, Stay SHARP
HBT_LIFETIMESUPPORTER.png
 
Qhrumphf's Avatar
Recipes 
 
Apr 2011
Arlington (DC), VA
Posts: 13,360
Liked 3424 Times on 2445 Posts


Same here.
__________________
Souring: '14 Brett C Old Ale, '15 Lambic, '14 Lambic, '14 Flemish Red, '15 Flemish Pale, '15 Oud Bruin, '15 Session Kriek
Cellar: '10 Brett B Tripel, '11 Lambic, '13 Brett C English Barleywine, '13 Quadrupel, '13 Sour Stout, '14 Brett C Bitter, '14 Spontaneously Fermented Cider, '15 Wee Heavy, '15 100% Brett B Red, '15 100% Brett L Kriek, '15 Bire de Garde

 
Reply With Quote
Old 12-10-2012, 02:40 AM   #4
nullvalue
Recipes 
 
Mar 2012
Crown Point, Indiana
Posts: 29
Liked 1 Times on 1 Posts


Awesome, I guess I can do math! If you tasted this stuff you'd swear it was higher! thanks guys

 
Reply With Quote
Old 12-10-2012, 04:13 AM   #5
BigEd
Recipes 
 
Nov 2004
Posts: 2,583
Liked 191 Times on 160 Posts


Quote:
Originally Posted by nullvalue View Post
Ok, maybe I'm making this more complicated than I have to but could I get a little help figuring this out? This year we've made "Apple Pie Liquor".. we bottle it in mason jars and give it as gifts for Christmas. Tastes sooo good! I want to make labels this year with the ABV on it..

the recipe consists of..

1.5 gal Apple Juice @ 0% ABV
1 gal Apple Cider @ 0% ABV
6 cups Everclear @ 95% ABV
1 cup Buttershots @ 15% ABV
1 cup Gold Schlager @ 43.5% ABV

So what would my total ABV be? My calculations put me at about 13% but that sounds too low.

If anyone's interested in the rest of the recipe (yields about 12 qts)..

Bring Apple Juice + Cider + Spices to boil, simmer 20 minutes
(Spices: 2 tsp apple pie spice, 10 cinnamon sticks, 2 cup brown sugar)
Cool to room temp, add alcohol + 2 tbs vanilla, mix thoroughly, transfer to jars.

Total volume = 384 oz

Total alcohol = 25.14 oz

25.14/384 = .0654687

.0654687 X 2 = 13.0974 Proof

 
Reply With Quote
Old 12-10-2012, 04:20 AM   #6
pabloj13
Recipes 
 
Dec 2011
Durham, NC
Posts: 1,553
Liked 92 Times on 80 Posts


Quote:
Originally Posted by BigEd View Post
Total volume = 384 oz

Total alcohol = 25.14 oz

25.14/384 = .0654687

.0654687 X 2 = 13.0974 Proof
Nah, it's ~50oz of ethanol. 13% ABV, 26 proof.
__________________

Kegged Two Hearted, Dragonmead Final Absolution
Bottled Robust porter, Founder's Breakfast Stout, Ommegawd Hellepin, Ed Wort's Apfelwein
RIP Snake Dog IPA, Biermuncher's OktoberFAST, Falconer's Flight IPA, Two-Hearted clone (Culturing Bell's Yeast), Noberon wheat, Skeeter Pee using dry yeast, Smooth Oatmeal Stout


Simple and easy wort aeration - Harvest yeast from your blowoff - Homebrew Spicy Mustard

 
Reply With Quote
Old 12-10-2012, 01:58 PM   #7
ajdelange
HBT_LIFETIMESUPPORTER.png
Recipes 
 
Aug 2010
McLean/Ogden, Virginia/Quebec
Posts: 9,023
Liked 1400 Times on 1067 Posts


You need to take into account the fact that if you add 20 mL of ethanol (15.785 grams @20 C) to 80 mL of water (79.852 grams @ 20 C) you get an 20% ABV solution with volume 98.238 cc i.e. not 100 cc. The alcohol molecules slip in between the water molecules to some extent so the volumes don't add.

6 cups of Everclear gives 6*236.6*.95*0.789239 = 1064.38 grams EtOH

1 cup of Buttershots gives 1*236.6*0.15*0.789239 = 28.0101 grams

1 cup of Gold Schlager gives 1*236.6*0.435*0.789239 = 81.2293 grams

for a total alcohol content of 1173.62 grams EtOH.

Now you need the total weight of the mixture. For the sake of getting some numbers we'll make some guesses. You should either weigh all the components (before or after mixing) or measure the specific gravity and volume and get the weight from SG*0.998203*Volume. You'll need specific gravity in any event. In the calculations below all the extra decimal places are there because I am pasting from a calculation utility program. They are not justified:

1.5 gal cider at 6 P weighs 1.5*3.785*1.02369*0.998203 = 5.80156 kg
1 gal juice at 6 P weighs 1*3.785*1.02369*0.998203 = 3.8677 kg
6 cups Everclear weighs 6*0.2366*0.81138 = 1.15184 kg
1 cup Buttershots weighs 1*0.2366*(1?)= 0.2366 kg
1 cup Gold Schlager weighs 1*0.2366(0.96?) = 0.2272 kg

for a total of 11.285 kg. Thus the ABW is 100*1.17362/11.2848 = 10.4%. To find ABW we need the specific gravity of the mixture. 10.4% ABW means 100 grams of solution has 10.4 grams of ethanol in it. The volume of 10.4 grams of ethanol is 10.4/(SG_EtOH*0.998203) and the volume of 100 grams of solution is 100/(SG_solution*0.998203) thus the ABV is ABW*(SG_solution/SG_EtOH). The specific gravity (20/20) of EtOH is 0.79066 so

ABV = ABW*(SG_solution/0.79066)

Assuming the SG of the mix to be essentially that of 6P apple juice (and that's a WAG, of course) which is 1.02369 you would have

ABV = ABW*(1.02369/0.79066) = 10.4*(1.02369/0.79066) = 13.4652

or 27 proof. Now the first thing you should note after all this is that the numbers don't differ appreciably from what you calculated by ignoring the volume effect so that even if your measured SG and volume differ from the estimates I made the result won't be that much different. Obviously if one were to do this frequently he'd want to put the calculations in a spreadsheet.

One other note: all the EtOH density numbers I used were taken from the OIML polynomial for 20 C. The TTB uses AOAC density data which is at 60 F.

Edit: Just noted that the apple cider/juice are simmered. This will result in water loss and thus higher final ABV. Be sure to measure volume and SG after this simmering.

2
People Like This 
Reply With Quote
Old 12-11-2012, 05:32 PM   #8
nullvalue
Recipes 
 
Mar 2012
Crown Point, Indiana
Posts: 29
Liked 1 Times on 1 Posts


Quote:
Originally Posted by ajdelange View Post
You need to take into account the fact that if you add 20 mL of ethanol (15.785 grams @20 C) to 80 mL of water (79.852 grams @ 20 C) you get an 20% ABV solution with volume 98.238 cc i.e. not 100 cc. The alcohol molecules slip in between the water molecules to some extent so the volumes don't add.

6 cups of Everclear gives 6*236.6*.95*0.789239 = 1064.38 grams EtOH

1 cup of Buttershots gives 1*236.6*0.15*0.789239 = 28.0101 grams

1 cup of Gold Schlager gives 1*236.6*0.435*0.789239 = 81.2293 grams

for a total alcohol content of 1173.62 grams EtOH.

Now you need the total weight of the mixture. For the sake of getting some numbers we'll make some guesses. You should either weigh all the components (before or after mixing) or measure the specific gravity and volume and get the weight from SG*0.998203*Volume. You'll need specific gravity in any event. In the calculations below all the extra decimal places are there because I am pasting from a calculation utility program. They are not justified:

1.5 gal cider at 6 P weighs 1.5*3.785*1.02369*0.998203 = 5.80156 kg
1 gal juice at 6 P weighs 1*3.785*1.02369*0.998203 = 3.8677 kg
6 cups Everclear weighs 6*0.2366*0.81138 = 1.15184 kg
1 cup Buttershots weighs 1*0.2366*(1?)= 0.2366 kg
1 cup Gold Schlager weighs 1*0.2366(0.96?) = 0.2272 kg

for a total of 11.285 kg. Thus the ABW is 100*1.17362/11.2848 = 10.4%. To find ABW we need the specific gravity of the mixture. 10.4% ABW means 100 grams of solution has 10.4 grams of ethanol in it. The volume of 10.4 grams of ethanol is 10.4/(SG_EtOH*0.998203) and the volume of 100 grams of solution is 100/(SG_solution*0.998203) thus the ABV is ABW*(SG_solution/SG_EtOH). The specific gravity (20/20) of EtOH is 0.79066 so

ABV = ABW*(SG_solution/0.79066)

Assuming the SG of the mix to be essentially that of 6P apple juice (and that's a WAG, of course) which is 1.02369 you would have

ABV = ABW*(1.02369/0.79066) = 10.4*(1.02369/0.79066) = 13.4652

or 27 proof. Now the first thing you should note after all this is that the numbers don't differ appreciably from what you calculated by ignoring the volume effect so that even if your measured SG and volume differ from the estimates I made the result won't be that much different. Obviously if one were to do this frequently he'd want to put the calculations in a spreadsheet.

One other note: all the EtOH density numbers I used were taken from the OIML polynomial for 20 C. The TTB uses AOAC density data which is at 60 F.

Edit: Just noted that the apple cider/juice are simmered. This will result in water loss and thus higher final ABV. Be sure to measure volume and SG after this simmering.
Wow! I knew someone would come up with an answer like this! Next year I'll calculate it like this. Thank you

 
Reply With Quote
Old 12-11-2012, 05:43 PM   #9
motobrewer
I'm no atheist scientist, but...
HBT_SUPPORTER.png
Recipes 
 
Oct 2009
Thiensville, Wisconsin
Posts: 8,211
Liked 489 Times on 378 Posts


i would also ensure your everclear is indeed the 190 proof stuff - here in Wisconsin we can only get the 151 proof
__________________
Quote:
The man who intoxicates himself on bad whisky is sometimes moved to kill his wife and set his house on fire, but the victim of applejack is capable of blowing up a whole town with dynamite and of reciting original poetry to every surviving inhabitant.

"A Wicked Beverage," New York Times, April 10, 1894

 
Reply With Quote


Reply
Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Lounge Mixed Drink Kits? Adrenaline-Junkie Extract Brewing 2 11-29-2012 02:40 AM
To drink or not to drink? (w/ pics) BGates14 General Beer Discussion 35 09-18-2012 02:35 PM
Mixed up hops IrishBrewer74 Recipes/Ingredients 3 09-11-2012 12:07 AM
Drink to relax or drink because your relaxed? Nowuries General Beer Discussion 23 02-25-2012 09:30 AM
I don't think I mixed my DME in very well Eves Beginners Beer Brewing Forum 4 05-08-2008 12:29 PM


Forum Jump