![A gas is heated in a duct as it flows over a resistance heater. Consider a 101 kW electric heating system. The gas enters the heating section of the duct at 100 kPa and 27 ºC with a volume flow rate](https://www.gkseries.com/blog/wp-content/uploads/2023/08/A-gas-is-heated-in-a-duct-as-it-flows-over-a-resistance-heater.-Consider-a-101-kW-electric-heating-system.-.jpg)
Q. A gas is heated in a duct as it flows over a resistance heater. Consider a 101 kW electric heating system. The gas enters the heating section of the duct at 100 kPa and 27 ºC with a volume flow rate of 15 m3/s. If heat is lost from the gas in the duct to the surroundings at a rate of 51 kW, the exit temperature of the gas is (Assume constant pressure, ideal gas, negligible change in kinetic and potential energies and constant specific heat; Cp = 1 kJ/kg·K; R = 0.5 kJ/kg·K.)
(A) 32 oC (B) 37 oC (C) 53 oC (D) 76 oC
Ans:32 oC
Sol:
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/Screenshot-665.png)