Problem 2. A piston-cylinder apparatus contains initially 1.2mol of ideal gas at 6bar and 25C. Then the piston is moved downward to increase the pressure to 12 bar pressure. You can ignore the change in potential energy associated with the piston moving. a. Write the First Law of Thermodynamics and simplify for this problem given that temperature of the system changes. b. Assuming Isothermal operation what are the initial and final volumes of gas for the above process (L)? c. If this process is carried out isothermally and the work done on the gas is 6.2 L bar then what is the value for heat (J) and discuss if this is heat added or removed? d. If the process is instead done adiabatically and the work done on the gas is still 6.2 L.bar. Again we can assume : e. U=nCVTwhereCV=25R as in Problem 1 , then what is the final temperature (C)