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Thecoffeenerd
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Posted Fri Aug 2, 2013, 10:57pm
Subject: Brewing help needed
 

Does anyone know a way to find out how many grams of coffee Is brewed using a certain ratio? Like If I want to use a specific ratio, Is there a way to see how much coffee was brewed In weight after Its finished?

 
"You can't make good coffee, without good coffee" -Thecoffeenerd
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Netphilosopher
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Posted Sat Aug 3, 2013, 8:47am
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coffeeguydenton
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Posted Sat Aug 3, 2013, 8:51am
Subject: Re: Brewing help needed
 

Other than weighing it?  As a rule of thumb, about two grams of water are retained per gram of coffee.  So if you start with 70 grams of coffee and 1190 grams of water, about 140 grams of water would be retained by the coffee and you would get ABOUT 1050 grams of coffee.  If you are using a 17:1 water to coffee ratio to start, then you would just subtract 2 from the 17, and that would give you 15 grams of coffee for every gram of coffee grounds used.  If your ratio is 16:1, then multiply by 14, and so on.  But this is only an estimate.  If you want an accurate measure, the only way to do it is weigh it.  Weigh the carafe empty, brew your coffee, then weigh it full and take the difference.
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Thecoffeenerd
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Posted Sat Aug 3, 2013, 9:25am
Subject: Re: Brewing help needed
 

How do you get the 1050 grams of brewed coffee when you use the math? That's what I'm looking for because that'll tell me how much coffee I end up with...

 
"You can't make good coffee, without good coffee" -Thecoffeenerd
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al_bongo
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Posted Sat Aug 3, 2013, 11:26am
Subject: Re: Brewing help needed
 

1190-140=1050
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Netphilosopher
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Posted Sat Aug 3, 2013, 1:16pm
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coffeeguydenton
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Posted Sat Aug 3, 2013, 8:00pm
Subject: Re: Brewing help needed
 

Netphilosopher Said:

Absolutely.  Unless you don't know how much brew water you used.

If you don't know that, you don't have enough information to figure out the weight of the brew coffee.  At a minimum, you need two of the four main variables, and at least one must be on the ingredient side.

If all you have is 1050g of coffee in the pot and that's all you know, then your brew ratio is undefined.  The yield ratio you mention (1050 grams from 70g of brew coffee) is based on a brew ratio of 17.

BUT in all the following examples, the yield in the pot is 1050g:

1120g Brew Water, 35g brew coffee -> approx 1050g coffee produced.
1260g Brew Water, 105g brew coffee -> approx 1050g coffee produced.
1190g Brew Water, 70g brew coffee -> approx 1050g coffee produced.
1140g Brew Water, 45g brew coffee -> approx 1050g coffee produced.


The basic brewing mass model is:

Wb, Brew Water mass
+
Cb, Brew Coffee (ground dry coffee) mass
=
Gt, Total mass of wet spent Grounds
+
Pc, Produced Coffee (the beverage in the cup/pot)
- Lb, any Brewing Losses, generally ignored.

Wb + Cb = Gt + Pc - Lt

If you only have the weight/mass of the Produced Coffee, you don't have enough information.  Technically, you still don't have enough information if you have Brew Water, because you still have one equation and two unknowns.

That's where the relationship of the retention of the grounds comes in.  By experience we know that for drip methods where the grounds are gravity drained, Gt ~ 3 x Cb.  

Substituting into the first equation (and ignoring losses), what falls out of this is the relationship of Wb - Pc = (2 x Cb)

BUT you still need to know your brew water.

rearranging, Cb = (Wb - Pc) / 2

In the case above, (1190-1050)/2 = 70

If all you know is Pc = 1050, then you have this equation:

(? - 1050)/2 = ?

(Not to mention the 2 is an estimate.  In practice this can range from 1.75 to as high as 2.75, depending on many other factors.)

One might be tempted to say we can "assume" a brew ratio, but then to target a specific brew ratio means you already have a good idea of how much coffee you are using. The Brew Ratio is Wb/Cb.

Posted August 3, 2013 link

I think you and I are answering different questions.  I agree 100 percent with everything you said, but I was assuming by "grams of coffee brewed" he means the final drink, not the grounds.  It is a bit unclear from the OP what he is actually asking.  I am also assuming that he is asking in regards to coffee he has brewed himself, which he has told us in previous posts he is weighing in advance, so the other variables are all known.
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Thecoffeenerd
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Posted Sat Aug 3, 2013, 9:32pm
Subject: Re: Brewing help needed
 

Yes, I mean the weight of the final drink not the grounds.

 
"You can't make good coffee, without good coffee" -Thecoffeenerd
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al_bongo
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Posted Sun Aug 4, 2013, 5:37am
Subject: Re: Brewing help needed
 

LOL. Just use a set of scales. If you know the weight of the water you have used to brew the coffee you can then  weigh the final brew and you have your answer.

Some things are worth measuring and calculating. This wouldn't be one of them for me.
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Netphilosopher
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Posted Mon Aug 5, 2013, 5:00pm
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