(a) Derive the mathematical expression for Steady Flow Energy Equation. State the assumption made before the derivation.

(b) The internal energy of a substance is provided by the following equation. U=3.56pv+84, where u is given in KJ/Kg, p is in KPa and v is in m³/kg. A system composed of 3 kg of this substance expands from an initial pressure of 500KPa and a volume of 0.22m³ to a final pressure 100KPa in a process in which pressure and volume are related by pv1.2 = constant.

(c) If the expression is quasi-static, determine Q, ΔU and W for the process.

(d) In another process the same system expands according to the same pressure - volume relationship and from same initial state to the similar final state but the heat transfer in this case is 30KJ. Determine the work transfer for this process.