Three air flows all at 200kPa are connected to the same exit duct and mix without external heat transfer. Flow one has 1 kg/s at 400K, flow two has 3 kg/s at 290K, and flow three has 2kg/s at 700 K. Neglect kinetic energies. The volumetric flow rate at the exit for constant specific heat is 3.831 m^3/s. Calculate the volumetric flow rate at the exit for variable specific heat.