Nitrogen (N2) contained in an un-insulated piston-cylinder assembly fitted with a paddle wheel, initially at 400 kPa and 37C and volume equal to 0.2 m, is stirred by a paddle wheel operating at constant speed until its temperature reaches 237C and the pressure increases by 30% in a polytropic process. Answer the questions below, use the method of variable specific heats in related computations. Please indicate the table number you are using when doing so; you ARE NOT ALLOWED to use constant specific heats, you must use variable specific heats to receive credit for your computations. A. Draw a schematic of the system including the boundary and include the mass and energy interactions between the system and the surroundings, if any. B. Determine the polytropic exponent for this process. C. Determine the boundary work, in kJ. Based on your numerical result, indicate the direction of work. D. If during the process the heat transfer from the system to the surroundings is 250 kJ determines the work supplied by the paddle wheel. E. List at least four assumptions and approximations that you used to generate the governing equations to solve parts (b), (c) and (d).