A compressor is pumping air into a 10-foot diameter spherical holding tank for use in a blow-down wind tunnel. The compressor pumps at a constant flow rate of 2 lb/s by taking atmospheric air (p=14.7 psia, T=70°F) and compressing it to a pressure of 1000 psi. If the holding tank initially contains air at 30 psia and 70°F, determine the following quantities assuming adiabatic, reversible processes throughout:
1) The temperature of gases exiting the compressor;
2) The velocity of gases exiting the compressor (assume compressor line is 0.5" in diameter);
3) The temperature in the holding tank when the pressure reaches 120 psia assuming negligible mass resides in the tank at the start of the pumping process.
4) The time required to fill the holding tank to 250 psia assuming negligible mass resides in the tank at the start of the pumping process.
5) After filling the tank to 250 psia, the gas inside cools down to ambient temperature over the period of a couple of days. What is the pressure in the tank at the end of this cooldown?