Prove that the entropy S of an ideal gas [Sackur and Tetrode's equation] is an extensive quantity. Then show that the entropy of the gas of particles to be separated from each other is 5- Nha -1 (32/V)] S = NKB In and that this quantity is not extensive. Remember: by extensiveness we mean that if we scale the size of the system by a factor a (V → a V, N → a N, but the particle density n = N/V remains constant), any extensive quantity a s) also scales by a factor a (here: S →
Prove that the entropy S of an ideal gas [Sackur and Tetrode's equation] is an extensive quantity. Then show that the entropy of the gas of particles to be separated from each other is 5- Nha -1 (32/V)] S = NKB In and that this quantity is not extensive. Remember: by extensiveness we mean that if we scale the size of the system by a factor a (V → a V, N → a N, but the particle density n = N/V remains constant), any extensive quantity a s) also scales by a factor a (here: S →
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![Prove that the entropy S of an ideal gas [Sackur and Tetrode's equation] is an extensive quantity.
Then show that the entropy of the gas of particles to be separated from each other is
3
S = NKB
— Nku [2 - In (2/V)],
and that this quantity is not extensive.
Remember: by extensiveness we mean that if we scale the size of the system by a factor a (V
→ a V, N a N, but the particle density n = N/V remains constant), any extensive quantity
a s)
also scales by a factor a (here: S
→](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e81da3a-685f-4a1c-b0d8-bdbcceea4042%2Ff3748018-653c-4f25-856a-336200ef9cc6%2Ft4s3oy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that the entropy S of an ideal gas [Sackur and Tetrode's equation] is an extensive quantity.
Then show that the entropy of the gas of particles to be separated from each other is
3
S = NKB
— Nku [2 - In (2/V)],
and that this quantity is not extensive.
Remember: by extensiveness we mean that if we scale the size of the system by a factor a (V
→ a V, N a N, but the particle density n = N/V remains constant), any extensive quantity
a s)
also scales by a factor a (here: S
→
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