A rigid compressed- air tank is to be repressurized to 40 bar by being connected to a high-pressure line containing air at 50 bar and 20°C. The repressurization of the tank occurs fast enough that the process can be assumed to be adiabatic. Assume that the gas can be modeled as ideal and that the specific hear ratio is k = 1.4.
1. If the tank initially contains air at 1 bar and 25°C determine what will be the temperature of the air in the tank at the end of the filling process?