# Problem 4:According to the Sackur-Tetrode equation, the entropy of a monatomic ideal gas can becomenegative when its temperature (and hence its energy) is sufficiently low. This is absurd, so theequation breaks down at low T. Pretend that Helium remains a gas at low T, and we keep N /Vfixed. Below which T would the Sackur-Tetrode equation predict that S is negative?

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37 views help_outlineImage TranscriptioncloseProblem 4: According to the Sackur-Tetrode equation, the entropy of a monatomic ideal gas can become negative when its temperature (and hence its energy) is sufficiently low. This is absurd, so the equation breaks down at low T. Pretend that Helium remains a gas at low T, and we keep N /V fixed. Below which T would the Sackur-Tetrode equation predict that S is negative? fullscreen
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Sackur-Tetrode equation is given by, From the above expression,

It can be observed that when the internal energy U is low enough such that the log term goes below – 5/2, the entropy S becomes...

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