I was joking initially. If we try to take this seriously, the water would probably evaporate under such high temperatures and we wouldn't have a copper solution. That, I think, is the main issue.
I actually don't see why this has to be an issue... It's the gas which will necessarily be at the high temperature, not the water. If you have a sufficiently large body of water into which you're feeding the NH
3 and appropriate cooling systems in place, I don't see why the water would necessarily get too hot and evaporate. That said, of course, I'm not an engineer so there may be other practical considerations which I'm overlooking.
I don't think the solubility of ammonia will be a problem as metal complexes have massive stability constants, 10^12 for tetraamine copper(II), so any ammonia that does dissolve will react, allowing more ammonia to dissolve. Less ammonia left in the air would mean the forming of more ammonia.
I don't imagine you could use that stability constant in this sort of situation given that the NH
3(g) molecules would have unusually high kinetic energies (comparatively speaking); it's a more complicated system than those for which stability constants are typically stated.
As for hypothetically trying to get the ammonia out of solution, we could precipitate the copper with something like hydroxide ions as the solubility product for copper hydroxide is on the order of 10^-20.
But really, I was kidding when I made the initial statement.
I never said you couldn't do it, or that it would be overly complicated to do it. My point simply concerned
why you'd do it given that at least one additional step would be required (which would likely decrease the economic efficiency of the process as a whole). Moreover, with your hydroxide treatment you'd end up with a heap of waste Cu(OH)
2!
Anyway, I'm glad you were just kidding! Really good to see you thinking about this stuff though =)