A 15 cm^3 cylinder contains nitrogen at 70 atm and 20 degrees Celsius. This cylinder is placed in a 10,000 cm^3 evactuated insulated chamber. A crack develops on the small cylinder and the nitrogen expands to fill the entire chamber. Determine:
1. The entropy change for the nitrogen
2. The work required to compress the nitrogen reversibly back to the initial state. Assume that nitrogen behaves as an ideal gas.