I was doing a bit of CO2 cutting today.
We have a Baasel Lasertechnic CO2 machine (Slow flow external He, N, CO2 gasses mix)which usually runs about 75W at the nozzle in pulsed mode. (200W max) I set it up for CW and tuned it down to 1W.
At 1W I was able to cut through two sheets of 4mil Mylar and a series of other thin "plastics" supplied by a customer who wanted to laser weld the sheets together.
(pretty small window between welding and cutting...would be better to "print" on a UV-activated adhesive and hit it with a UV laser)
So if you need CO2 to cut thin paper, plastic etc, 20W will definately work. My guess is that 5W will do it if focused properly, so SYP is right-on with his estimates.
Co-axial airflow thru nozzle will also help keep down scorching and clear ablative debris from embedding in reflow in meltable materials.
If you intend to be pulsing CO2 for CNC, don't skimp on the power supply.
TOM