Figure 8.1 Piston seals off a cylindrical container of oxygen.
-A 0.5 L bottle containing air at 30°C is sealed at sea level, where the atmospheric pressure is 1 atm. The bottle is re-opened at the top of a 2000-m-high mountain, where the pressure is 0.8 atm and the temperature is 0°C. What mass of air escapes the bottle, assuming that the air has a molar mass of 29 g/mol?

Question

Figure 8.1  Piston seals off a cylindrical container of oxygen.
-A 0.5 L bottle containing air at 30°C is sealed at sea level, where the atmospheric pressure is 1 atm. The bottle is re-opened at the top of a 2000-m-high mountain, where the pressure is 0.8 atm and the temperature is 0°C. What mass of air escapes the bottle, assuming that the air has a molar mass of 29 g/mol?

Quizplus · Accepted Answer

Using the ideal gas law, calculate the initial and final moles of air in the bottle. The difference in moles, multiplied by the molar mass, gives the mass of air that escapes.

Figure 81 Piston Seals Off a Cylindrical Container of Oxygen