A stream of warm air with a dry-bulb temperature of 38oC and wet-bulb of 30oC is mixed

Question:

A stream of warm air with a dry-bulb temperature of 38oC and wet-bulb of 30oC is mixed adiabatically with a stream of saturated cool air at 15oC. The dry mass flow rates of the warm and cool air streams are 8 kg/s and 6 kg/s, respectively. Assuming a total pressure of 1 atm, determine
(a) The temperature (T),
(b) The specific humidity (ω) and
(c) Relative humidity of the mixture.