Ideal Gas and Specific Heat ( 4 points ) Learning Objectives: Apply the ideal gas law and the concept of specific heat to calculate state variables. A closed, thermally insulated gas cylinder is divided in two volumina by a thermally conducting and airtight (but freely moveable) piston. The gas in volume 1 has V1 = 3.00 L (with on = 12.5 J/(mol K) ) and is initially at p1 = 3.80 bar and T1 = 300 K. The gas in volume 2 has V2 = 2.00 L (with cn = 20.8 J/(mol K) ) at p2 = 2.10 bar and T2 = 500 K. a) What is the final temperature of the system when the position of the piston is fixed? b) What is the pressure in volume 1 and volume 2 after the temperature equilibrated? c) What temperature and pressure is reached when the piston can move freely? d) What are then the volumina of the two gases