Ehti, as mentioned by 7604, we have found the easiest method is to measure the offgas. I don't what type of abatement device you are talking about and how many stages of combustion it contains and I am also wondering if you are talking about NOx (NO + NO2) as opposed to N2O. Assuming the former, we have employed three different methods - we have had a certified offgas abatement company take samples of the stack under different operating conditions both in the Oxidizer as well as in the process which is sending the offgas to the Oxidizer. We then regressed the data into a fairly simple equation which can be used for ongoing predictions. The second method: We had a unit shut down on our site and they had an Enerac 3000 which is a portable probe sampling device. We permanently borrowed this device and we use it periodically to ensure our algorithm is still tight. Third: we have an online NOx analyzer in our stack. We have had problems with tubing leaks and moisture so we haven't found this to be completely reliable at this point.
Keep in mind that, as PeterAB pointed out, the resulting concentration is a combination of the incoming N bearing compounds, the temperature of the vessel, the O2 level (in general, you want a reducing zone followed by an oxidizing zone), all of which is very complex in terms of predicting resulting NOx levels.
Having said all of this, if you are really looking for N2O, then I have no experience with this and you can disregard all of the above.
Thanks,
Tim