Quote:
Originally Posted by killian
whats the equation?
just trying to mash indoors using an electric stove.
|
Since it's all water, heat capacities are the same. Although you have separate systems, (pot of boiling water and IC inside of it), they can be viewed as a single system, since all temperatures will go towards equilibrium. This means the boiling water will cool as it heats up the room temperature water.
The basic formula for Energy going into thermal change is E=mC(deltaT), where E is energy, m is mass, C is heat capacity, and deltaT is change in temperature.
Put simply, Energy of boiling water + Energy of mash water = Energy of system. Or m1C1(deltaT1)+ m2C2(deltaT2) = m3C3(deltaT3), where 1 is your boiling water, 2 is your mash water, and 3 is the whole kit-n-kaboodle put together. The C1, C2, and C3 terms cancel out because they are the same. Through some funky math, it turns out that you can instead write m1T1+m2T2 = m3T3...math whizes will now recognize that we are just taking a weighted average of the components in the system. Substitute Volume for Mass because all densities are (practically) equal, and you get v1T1+v2T2 = v3T3. So, in your case, you want to know T3, the equilibrium temperature.
(3 gallons * 212°F + 10 gallons * 68°F)/13 gallons (the total volume of the system), (3*212+10*68)/13= 101°F.
Basically, it's no different than dumping 3 gallons of boiling water into 10 gallons of 68 degree water. Beersmith agrees with me when I plug it in this way.
Now what this doesn't account for is you adding heat to the boiling water with your stove. In this case, it's possible to heat all 10 gallons up to whatever temp you want, as long as you are patient enough to wait for it to recirculate long enough to get that extra energy out of your stovetop. But again, I ask, if this is the case, why not just heat your strike water directly, instead of using the IC?