A sample of 1.0 mol perfect gas molecules, with C P.m = (7/2)R is put through the following cycle: 

(a) constant volume heating to twice its initial volume, 

(b) reversible, adiabatic expansion back to its initial temperature, 

(c) reversible isothermal compression back to 1.0 atm. Calculate q, w, ΔU, and ΔH for each step and overall.