A vortex tube has an inlet air flow at 300 K and 5 bar. A vortex tube with 1 mole of input air, outputs 0.8 moles, 1 bar at 160 K on the cold side, and 0.2 moles, 1 bar at 310 K on the hot side. Assuming steady state conditions, calculate the total change in entropy of the gas due to the vortex tube. Assume ideal gases with a constant heat capacity of cp = 29.3 J/mol K. Are the output pressures and temperatures are consistent with the second law?