During an emergency launch operation to fill a missile with RP-4, the volume of a well insulated fuel storage tank is pressurized to 10.34 bar with air coming from a large external storage tank at high pressure (69 bar). the overall operation is complete as rapidly as possible. the fuel storage tank can be approximated as a right circular cylinder 12.2m tall and 3.05m in diameter and is originally filled to 90% capacity. the initial conditions in the tank are T=300K and P=1atm
a) comment on any safety hazards that might be encountered. especially, what would you anticipate if the inlet gas control valve were to malfunction and the gas space above the fuel were to reach full storage tank pressure (69bar)? the fuel tank has been hydrostatically tested to 276 bar.
b) calculate the temperature of the gas in the tank when the pressure has reached 10.34 bar and if the valve does not function properly and the pressure in the tank reaches 69 bar. consider the air to be an ideal gas with Cp=(7/2)R.