The entropy change of carbon dioxide during an adiabatic process in a closed system where only paddle-wheel work is done is theoretically zero because there is no heat transfer.
The problem given describes a thermodynamics process involving carbon dioxide in a rigid, insulated tank where work is done on the system with a paddle wheel. The tank starts with a known mass of carbon dioxide at a specified pressure and volume, and work is done until the pressure rises to a new value. To determine the entropy change of carbon dioxide during this process with constant specific heats, we must use the fact that in an insulated system only paddle-wheel work is being done, which constitutes a boundary work that does not change the entropy, as such work does not allow heat transfer. Therefore, the entropy change for the carbon dioxide in this case would theoretically be zero, as the process is essentially adiabatic with respect to the environment.
Given that there is no exchange of mass or heat with the surroundings, the system described here is a closed system. No substance enters or leaves the tank; only energy in the form of work is imparted to the gas.
The complete question is- A 1.5 meter cube insulated rigid tank contains 2.7 kg of carbon dioxide at 100 kPa. Now paddle-wheel work is done on the system until the pressure in the tank rises to 150 kPa. Determine the entropy change of carbon dioxide during this process. Assume constant specific heats. Is it open or close system?