Foxy, not too high to calculate...
But Uemura is,... thanks foxy, uemura is still too tired to play around with variables. Uemura is sure that there is around a piece of SW you can feed in all the variables you want to calculate. Just take a simple example:
x P2O5 + y PCl5 + z_input --> a POCL3 + b output_
Here we are lucky, Take x=1 y=3 and a=5 (of course z=b=0). Here you have a set of equations like:
x (2 P + 5 O) + y (P + 5 Cl) =
(2 x + y) P + 5 x O + 3 y Cl ==
a P + a O + 3 a Cl
or
(P) 2 x + y == a
(O) 5 x == a
(Cl) 5 y == 3 a
which is a set of an integral equation system with 3 equations and three variables, solutions are seeked within the range of positive integral numbers. this is also called a
diophantic equation. (For details see
S.L.Borevcs, L.R. Safarevics, Number Theory, Birkhäuser, 1966 )
If you haven't started with PCl5 but with PCl3, then you would have to add an additional variable, say u * Cl2 (It still seems you know about chemistry, because you haven't added u * He2).
u Cl2 + x P2O5 + y PCl3 + z_input --> a POCL3 + b output_
which is now again a diophantic equation (4 vars, 3 eqs!!!) as
(P) 2 x + y == a
(O) 5 x == a
(Cl) 3 y + 2u == 3 a
with the obvious (smallest integral solution!!!) solution x=1, y=3 ,u=3 and a=5.
In case you know the additional input and output
z_input, b_output is zero (i.e. your are a good chemist to know what you need and what you get out), then at least you know the number of variables to deal within the diophantic equations. If not, then you are in trouble.... Uemura thinks you get a feeling what he is looking for in general. Either you are a genius chemist or a good mathematician, but in the latter one you nevertheless need to know the number of variables you deal with..
Anyway, looking at the pot with the crude TMP after destilleation of the MeOh, another salt precipitated, it is white, is it now Cu(I)Cl or just NaCL. Two more variables.......
Jesus, why didn't Uemura stick with what he learned....