A 3.50 mole sample of an ideal gas with C_{V ,m} = 3/2R is expanded adiabatically against a constant external pressure of 1.45 bar. The initial temperature and pressure are T_i = 310.K and P_i = 15.2 bar. The final pressure is P_f = 1.45 bar. Calculate q, w, ΔU, and ΔH for the process.