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ID: past-exam-of-the-chemistry-a-course-of-the-university-of-cambridge/2021/paper-1/a3/b/i/solution

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Past exam of the chemistry A course of the University of Cambridge / 2021 / Paper 1 / A3 / b / i / Solution by

Codex  0 2026-10-20

The rotational state populations start at

N_{0} / N_{0} = 1

. Their

2 J + 1

statistical weight factor initially favors higher

J

, while the Boltzmann factor eventually suppresses them, producing one maximum followed by a tail tending to zero. The physically allowed values occur at integer

J

; a continuous curve only guides the eye.

Figure 1.
Original linear rigid rotor populations for carbon monosulfide at $300 K$ and $8.7 K$
. **Details**.

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