Air flows from a large reservoir where the pressure and temperature are 200 kPa, 300K respectively, through a pipe of diameter 0.05m and exhausts into the atmosphere at 100 kPa. Heat is added to the air in the pipe.

If the heat added is 450 kJ/kg, calculate (a) the inlet and exit Mach numbers, (b) exit static pressure, and (c) mass flow rate through the pipe.
If the exit static pressure has to be equal to the ambient pressure, calculate (a) the inlet and exit Mach numbers, (b) maximum amount of heat that can be added, and (c) mass flow rate through the pipe.