During an emergency launch operation, to fill a missile with RP-4 (a kerosene-based fuel), the ullage volume of the fuel storage tank is pressurized to 10.34 bar with air coming from a large external storage tank at high pressure (69 bar). This operation is to be completed as rapidly as possibleThe fuel storage tank can be approximated as a right circular cylinder 12.2 m tall and 3.05 m in diameter and is originally filled to 90% of capacity. The initial conditions in the tank are T=300K and P=1 atm.
a. Assuming no mixing between the original and the incoming air, what problems would you anticipate if the inlet gas control valve were to malfunction and the gas space above the fuel were to reach full storage pressure (69 bar)? (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 fucntion properly and the pressure in the tank reaches 69 bar. for simplicity, consider the air to be an ideal gas with Cp=(7/2)R .