A vortex tube is used to separate an ideal gas at 10 bar and 375 K such that half the gas is collected in a cool stream at 1 bar and 255 K and the other half becomes a hot stream at 1 bar and 495 K. Assuming the process is adiabatic: is this process possible? assume the heat capacity of the ideal gas is (7/2)R. What is the maximum possible temperature difference between the hot and cold streams?