In concern to the points above:
1. Indeed there is a catalyst involved which is a Copper Aluminum complex, and the reaction is going to be carried out under extreme conditions, meaning high temperatures and pressures in addition to the turbulence effects inside a chamber. The poisoning effect of a catalyst is a problem which can be solved at a little later stage.
2. Methanol will be instantly taken out of the chamber, but there is some methane that is going to evolve in addition to the DME (dimethyl ether) which is also going to be produced under those conditions.
At this stage, i am having trouble with calculating the reaction order of the reaction of CO2 with hydrogen into methanol, as well as estimating the Activation energy and the pre exponential factor A of the Arrhenius equation. My concern about it: is it possible to calculate or estimate those dimensions on a theoretical basis? Or there is an experimental data that is required?