A thermocouple (0.8-mm-OD wire) is used to measure the temperature of quiescent gas in a furnace. The

Question:

A thermocouple (0.8-mm-OD wire) is used to measure the temperature of quiescent gas in a furnace. The thermocouple reading is 165?C. It is known, however, that the rate of radiant heat flow per meter length from the hotter furnace walls to the thermocouple wire is 1.1 W/m and the convective heat transfer coefficient between the wire and the gas is 6.8 W/(m2 K). With this information, estimate the true gas temperature. State your assumptions and indicate the equations used.GIVENThermocouple (0.8 mm OD wire) in a furnaceThermocouple reading (Tp) = 165?CRadiant heat transfer to the wire (qr/L) = 1.1 W/mHeat transfer coefficient ( hc ) = 6.8 W/(m2 K)ASSUMPTIONSThe system is in equilibriumConduction along the thermocouple is negligibleConduction between the thermocouple and the furnace wall isnegligible