Mash tun size vs grain

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Anyhowe

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ok my brain is tired. Between grain absorption, water volume within the grain and the grain volume itself my brain is tired. Did I just say that?

Ok here is my word math problem for those of you who like them. Assuming all the above plays into it. I have a 20 gal tun arriving. I want to get 12 gallons of pre boil wort out. How many pounds of grain can I add assuming a 1.2 ratio of water to grain.

My brain and I thank you.
 
Little over a week ago I did the largest brew I have ever done. 31# grain and 10gal strike water in my 15.5gal mash tun. But it was pretty full.
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