ok... so,
1.25 ratio w/ 11.75# of grain does = 3.67 gallons of water for mashing (called strike water). The strike water is heated to the proper temperature to result in your desired mash temperature when added to your grain.
You'll need to get the sugars off the grain when conversion is complete. The process is sparging. You can batch sparge or fly sparge. Which do you plan to do?
- Batch sparging (no experience, so someone else can chime in). Vorlauf and drain your first runnings. Add more spage water and drain again. Continue to do this until you've collected the required amount of wort for your intended boil.
- Fly sparging (what I do). Get your sparge water to temperature (I use 168). Vorlauf and then continuously pump (or drain) the sparge water into the top of your mash tun as you slowly drain the wort out the bottom. Continue the process until you've collected the required amount for your boil.
Now, you'll need to know how much sparge water you'll need...
- I assume a 20% loss to grain absorption. In your case, that would mean that .75 gallons would be lost to absorption off the top.
- My system requires a boil volume of ~ 6.3 gallons for a 5 gal batch. Yours will be different than mine. Using mine as an example, 6.3 gallons for boil minus 3.67 added for strike water = 2.63 gallons. Don't forget to add the lost water to absorption, 2.63+.75=3.4 gallons of sparge water needed.
That's JUST what you'll need for water to reach your boil volume. The information does NOT consider efficiencies and such...