A vortex tube takes in high-pressure air at 650kPa and 305K, and splits it into two streams at a lower pressure, 100kPa : one at a higher temperature of 325K and one at a lower temperature. The fraction of mass entering that leaves at the cold outlet is f=0.25. The vortex tube operates continuously at steady state, is adiabatic, and performs/experiences no work. Air should be modeled as an ideal gas with constant specific heat: R=287J/kgK and Cp=1004J/kgK. a) Determine the temperature at the cold end. Then, determine whether this device is physically possible. b) Analyze the effect of inlet pressure P1 (from 1 bar to 10 bars) on the cold end temperature. c) Consider the case of steam and repeat a) and b). d) Discuss the practical problems that may occur when using steam