Problem Description


Jim is in charge of filling the compressed carbon dioxide bottles in his factory. A worker brought in a bottle, which needs to be refilled because of the leak from the broken spray probe. Before refilling the bottle, Jim has to empty the bottle by sending the remaining carbon dioxide through a recycle process. How much carbon dioxide is left in the bottle?

What is known:

  • The well-insulated 200 liter bottle full of carbon dioxide at a pressure of 5 atm and a temperature of 500 K initially.
  • Carbon dioxide leaks slowly till the pressure in the bottle reaches 1 atm.

Take the Mass of Carbon Dioxide
Remaining in the Bottle after
Leak as a System



How much carbon dioxide is left in the bottle?


  • Take the bottle as a system.
  • Modeling this carbon dioxide leak process as an isentropic process.