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Consider an ideal monatomic gas that lives in a
Chapter 2, Problem 26P(choose chapter or problem)
Consider an ideal monatomic gas that lives in a two-dimensional universe (“flatland”), occupying an area A instead of a volume V. By following the same logic as above, find a formula for the multiplicity of this gas, analogous to equation 2.40.
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QUESTION:
Consider an ideal monatomic gas that lives in a two-dimensional universe (“flatland”), occupying an area A instead of a volume V. By following the same logic as above, find a formula for the multiplicity of this gas, analogous to equation 2.40.
ANSWER:Step 1 of 3
The area of the gas is given to be A.
Let us consider a single gas atom with an energy of U.
The multiplicity will be proportional to area (A) and area of the momentum space \(\left(A_{p}\right)\). This can be expressed as follows.
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