tkappeler
Platinum Member
Whether you have to heat the 30 gallons in a 80 gallon tank or in a 40 gallon tank, you still need to supply the energy required to raise 30 gallons of cold water to your heater 's set point. Either way it is the same amount of energy.
Certainly there is a difference in the usability as adding 30 gallons cold to 50 hot will cause a smaller temperature drop than adding 30 to 10, but the energy required to raise will not differ significantly between the two all else being equal.
I guess I was thinking that using 40 gallons of 120 degree water from a 40 gallon tank, replacing it with 50 degree water is a 70 degree temp differential for 40 gallons. Taking 40 gallons from an 80 (using the numbers above) would yield 80 gallons of something above the 50 degree incoming due to mixing.
But now that I actually write this out, 40 gallons for 70 degrees rise or 80 gallons for a 50 or so rise would be less rise but more gallons to heat. I guess it could be the same. I had lots of physics but I am not a thermodynamics specialist.