You have a constant area frictionless combustion chamber. at the entrance to the combustion chamber the mach number is 0.2 and the stagnation temperature is 675 k. the mach number is 0.47 at the exit to the combustion chamber.  = 1.4 and cp = 1 kj/kgk. a) what is the stagnation temperature at the exit of the combustion chamber? b) what is the ratio of the exit stagnation pressure to the entrance stagnation pressure? c) how high can the stagnation temperature rise in the combustion chamber before the flow reaches m = 1?

Steam in a heating system flows through tubes whose outer radius is 2.5 cm and whose walls are maintained at a temperature of 180 °c . circular aluminum alloy 2024-t6 fins ( k= 186 wm. k) of outer radius 3 cm and constant thickness 1 mm are attached to the tube. the space between the fins is 3 mm and thus there are 250 fins per meter of tube length. heat is transferred to the surrounding air at too-25 °c, with a heat transfer coefficient of 40 w/m2. k. manufacturer a claims that this system is rated at 3.5 kw per meter of tube length. if the fins are an integral part of the steam tube, find the heat transfer rate in kw for a 1-m length of tube. is manufacturer a's claim valid? compare the heat transfer rate from 1 meter of tube length if there are no fins.