gas_expansion

gas_expansion - The Improbable Tail The Improbable Tail of...

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Unformatted text preview: The Improbable Tail The Improbable Tail of Two Gases of Two Gases Gas molecules occupy the left bulb of the two-equal-bulb assembly shown below; the other bulb is closed off by a partition and maintains a perfect vacuum. Lets call this Condition 1 . Fact Fact : When the partition is broken, gas escapes from the left bulb and fills the right bulb until equal amounts of gas occupy both bulbs ( Condition 2 ) * . A similiar and related fact is: a gas occupies uniformly the entire volume of any container. What would your students answer? * The experimental evidence that the same amount of gas is in each bulb is that the pressure in each bulb is the same. Question: Why? Question: Why? Gas molecules occupy the left bulb of the two-equal-bulb assembly shown below; the other bulb is closed off by a partition and maintains a perfect vacuum. Lets call this Condition 1 . Fact Fact : When the partition is broken, gas escapes from the left bulb and fills the right bulb until equal amounts of gas occupy both bulbs ( Condition 2 ) * . A similiar and related fact is: a gas occupies uniformly the entire volume of any container. What would your students answer? Question: Why? Question: Why? Pressure is like a force, so the pressure on the left forces gas into the right bulb until the left-right forces equalize. Gas molecules occupy the left bulb of the two-equal-bulb assembly shown below; the other bulb is closed off by a partition and maintains a perfect vacuum. Lets call this Condition 1 . Fact Fact : When the partition is broken, gas escapes from the left bulb and fills the right bulb until equal amounts of gas occupy both bulbs ( Condition 2 ) * . A similiar and related fact is: a gas occupies uniformly the entire volume of any container. What would your students answer? Question: Why? Question: Why? The vacuum on the right sucks the gas out of the left bulb until there is no more vacuum to suck. 1 2 3 At T > 0 K, gas molecules are in constant and random motion. To answer the question, we only need to know one thing about gases. Suppose that three molecules are confined to the two-equal-bulb assembly. After the partition is broken, the molecules can move rapidly rapidly and randomly randomly between the two bulbs, so the number of the number of molecules in either bulb changes constantly molecules in either bulb changes constantly . 1 2 3 At T > 0 K, gas molecules are in constant and random motion. At time t = 0, the three molecules are in the initial state . But as time proceeds, other states appear. In how many other possible states can the three gas molecules be arranged? There are three possible ways ( microstates ) in which two molecules could be in the left-hand bulb and one in the right-hand bulb)....
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This note was uploaded on 11/23/2011 for the course PHYS 6198 taught by Professor Cohor during the Summer '10 term at LSU.

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gas_expansion - The Improbable Tail The Improbable Tail of...

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