Air from an office building is to be recirculated and mixed with outside air. The air from inside the office building flows at a volumetric flow rate of 5 m^3/s and has a temperature of 24 °C and a relative humidity of 40%. The outside air has a volumetric flow rate of 2 m^3/s, a temperature of 12 °C and a relative humidity of 80%. The pressures of all streams is 101.325 kPa.
Determine the temperature and relative humidity of the mixed stream.