athomas236:
Yes, the soundspeed would yield the average temperature across the furnace, but you would need to know the gas mixture molecular weight , and it does not yield the peak flame temp, only the avg temp.
bonzoboy;
The optical pyrometer may require an accurate input of gas or flame emmisivity. Also, most combusting gases behave as "participating media" and are partially opaque to infrared radiation and also tend to scatter radiation (if ash is entrained), so it is not clear if the temperature reading is of the flame or the temp of the gases in the boundary layer near the viewing wall.
As a check , the actual flame temp would need to be bracketed between adiabatic flame temp and the furnace exit gas temp, and modern numerical simulation programs should provide a reasonably accurate value .