An ideal gas, of mass 2 kg, is contained within a rigid cylinder and undergoes a cycle which consists of three separate thermodynamic processes: Isobaric Expansion: From state 1 to state 2, at a pressure of p = 2 bar , where V1 = 4 m and V2 = 7 m . Isothermal Compression: From state 2 to state 3 along a pV = constant process. Isometric Process: From state 3 to state 1, where u3 ? u1 = 20 kJ/kg. Calculate (a) The work done in going from state 1 to 2: (b) The work done in going from state 2 to 3: (c) The net work done around the cycle: (d) The heat transfer in going from state 2 to state 3: (e) The heat transfer in going from state 3 to state 1: (f) The heat transfer in going from state 1 to state 2: (g) Assume the volumes V1 and V2 are fixed; and pressures 1 p and 2 p are also fixed. If the pressure 3 p is doubled, how will this affect the work done between states 2 and 3? Assume that the process from 2 to 3 remains isothermal, and the process from 3 to 1 is no longer isometric. How will this affect your calculations for the net work done around the cycle?