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Lets say that I take a shower a shower and i use 20 gallons of water at 105* F

If the hot water in my tank is at 140*F

and my cold water comes in at 50*F

how much of hot (140*F) water did i use?

How much cold (50*F) Water did i use?

Now this might be on the same formula but

lets take the volume of 140*F hot water that I used in my shower out of the hot water tank and replace it with the same volume of 50*F Cold water to refill the tank, what will the temperature in the tank be now if its a 80 Gal Tank? (don't worry about the burner bring it up to temp)