1 a) State the common mathematical form of the first law of thermodynamics. [02 Marks] DU. b) State the general mathematical expression for the work done on the system. [02 Marks] dw-pen dv 154% Write down the expression for work done on the system for an ideal gas in reversible and we - nRT ln v v; isothermal conditions. [05 Marks] DUTO d) A sample of 1.00 mol Ar, regarded here as an ideal gas, undergoes an isothermal reversible expansion at 20.0 C from 10.0 dm to 30.0 dm. Calculate q, w, and AU for the process. State the assumptions or relevant conditions. (R= 8.314 J mol- K-) [08 Marks] e) The standard enthalpy of formation of HO (g) at 298 K is-241.82 kJ mol-'. Estimate its value at 100 C given the following values of the molar heat capacities at constant pressure: HO (g): 33.58 J K mol-; H (g): 28.84 J K- mol; O (g): 29.37 J K- mol-! State any assumptions o ditions