Learning objective


Materials


Problems

1. A blimp in the shape of Mr. McNeill contains 5400m³ of helium (He) at an absolute preussure of 1.1 x 10⁵ Pa. The temperature of the He is 280K. What is the mass in kg of the He in the McNeill Blimp?

2. Oxygen for hospital patients is kept in special tanks, where the oxygen has a pressure of 65.0 atmaspheres and a temperature of 288K. The tanks are stored in a seperate room and the oxygen is pumped to the patient's room, where it is administered at a pressure of 1.00 atmosphere and a temperature of 297K. What volume does 1.00m³ of oxygen in the tanks occupy at the conditions of the patients room?

3.On the sunlit surface of Venus, the atmaspheric pressure is 9.6 x 10⁶ Pa, and the temperature is 740K. On the Earth's surface the atmasphiric pressure is 1.0 x 10⁵ Pa, while the surface temperature can reach 320K. These data imply that Venus has a 'thicker' atmosphere at its surface than does Earth, which means the number of molecules per unit volume (NIV) is greater on the surface of Venus than on Earth. Find the ratio of (NIV)Venus to (NIV)Earth.

4. Near the surface of McNeilltron delta 7, the rms speed of Carbon Dioide molecules (CO2) is 650m/s. What is the temperature in Kelvins of the atmospheres at that point?

5. Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume of a cavern is 5.6 x 10⁵ m³, and the pressure of the air in the cavern is 7.7 x 10⁶ Pa. Assume that air is a diametric ideal gas whose internal energy U is given by U=5/2nRT. If one home uses 30.0kW•h of energy per day, how many many homes could this internal energy serve for one day?