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 is3S = 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 quantitya 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 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 →