In reply to Reach>Talent:
> You'll end up with a pissicle fairly fast at low temps. A pre-heater is definitely the way forward.
Let's run the numbers out of curiosity...
Let's say we're using pure butane, which has a latent heat of vaporisation of 21kJ/mol, and a molecular mass of 58g/mol.
Let's say we pee 250ml at body temperature, 37C, and this is essentially water with a specific heat capacity of 4.2J/g/C.
Boiling 500ml of water takes about 10g of gas (I'm being generous).
So, we need 21k*10/58 = 3620J to vaporise the 10g of butane.
We can calculate the temperature drop caused by the vaporisation of the butane:
dT = -3620/(250*4.2)
dT = -3.45C
So the pee ends up at a temperature of 33.55C. Not even close to freezing.
If you leave the pot of piss standing around for a while in the cold, then yes, it will freeze. But
it won't freeze as a result of the evaporation of the gas; you'd have to use an entire 100g cylinder of gas to get the piss close to freezing.
We also need to consider how much the cold canister of gas cools the piss before we start evaporation. We can do this by taking an energy balance around 0C, and considering the masses of pee, gas and canister, and their heat capacities. We can show that, assuming the gas starts at -10C, the pee will be cooled by about 10C before we start:
dHc (iron) = 0.44J/g/C
dHc (butane) = 2.28J/g/C
Hpee = 37 * 4.2 * 250 = 38850 J
Hgas = -10 * (0.44 * 100 + 2.28 *100) = -2720 J
Hsum = 38850 - 2720 = 36130 J
Tsum = 36130/(250*4.2+100*0.44+100*2.28) = 27.3 C
I'd still recommend the pre-heater tube, though...