A rigid, thermally insulated container with a volume of 22.4 liters is filled with one mole of helium gas (4 grams per mole)
at a temperature of 0 Celsius (273 K). The container is sitting in a room, surrounded by air at STP.
(a) Calculate the pressure inside the container in N/m2.
(b) Calculate the root-mean-square average speed of the helium atoms.
(c) Now open a tiny square hole in the container, with area 1 × 10−8 m2 (the hole is 0.1 mm on a side). After 5
seconds, how many helium atoms have left the container?
(d) Air molecules from the room enter the container through the hole during these 5 seconds. Which is greater, the
number of air molecules that enter the container or the number of helium atoms that leave the container? Explain
briefly.
(e) Does the pressure inside the container increase slightly, stay the same, or decrease slightly during these 5 seconds?
Explain briefly. If you have to make any simplifying assumptions, state them clearly.