Task: Problem 1: The polytropic process may be used to approximate an actual process. For example, we can measure the initial (denoted as 1) and final (denoted as 2) pressures and volumes of gas enclosed in a piston-cylinder assembly. Derive an equation to determine the polytropic exponent (n) of this process. Problem 2: A piston-cylinder device initially contains 0.07 m of nitrogen gas at 130 kPa. The nitrogen is now expanded polytropically to a state of 100 kPa and 0.086 m. Determine the boundary work done during this process.