In an effort to make money using electricity price arbitrage, you will use cheap electrical energy during the night to compress air into a tank. During the day you will run that stored air through a turbine and make electrical energy to sell back to the electrical company when the price of electricity is highest. The tank is insulated and has volume 8000 m³. You feed ambient air (300 K and 100 kPa) into a perfectly efficient 60 kW compressor, which outputs pressurized air into the tank. After 2.5 hours, what is the absolute pressure inside the tank in units kPa? You may assume the air inside the tank stays very close to 500 K throughout this process and starts at absolute pressure 100 kPa. Assume air is an ideal gas with constant C_p / R = 3.6.