Thermodinamics

In an experiment, a 0.050m3 bomb is initially evacuated.It is then filled with air supplied from a reservoir at 1MPa, through a long steel pipe, in which a solenoid valve is placed. The valve is open rapidly and quickly shut off when pressure in the bomb reaches 0.6MPa, The steel pipe is long enough so that, close to reaching the bomb, the temperature of the air in the pipe is ambient (300K).

Assuming that the bomb is perfectly insulated what is the temperature of the air in the bomb at the end of filling process? Assume air is an ideal gas with constant specific heats in a ratio Cp/Cv = γ = 1.4 and constant R= 287 J/kg K.