A container with thermally insulated walls contains oxygen at a very low pressure and temperature 300K. The volume of the container is V=1m^3. After a small hole is punctured in one of the walls, the gas begins to escape the container.
A container with thermally insulated walls contains oxygen at a very
low pressure and temperature 300K. The volume of the container is V=1m^3. After a small hole is punctured in one of the walls, the gas begins to escape the container. [Note that smallness of the hole and low pressure of the gas are necessary to justify the assumption that the molecules escape independently of one another]. There’s vacuum outside. The cross-section area of the hole is 1 mm^2.
A (10). Estimate the time it takes half of the initial amount of oxygen to escape assumingthat the temperature of the gas remains constant
B (5). Do you think the constant temperature assumption is reasonable? If not, will the temperature of the gas inside the container increase or decrease as the gas escapes?Explain your answer mathematically
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