Files
curriculum-project-hub/examples/TH-141/examples/41届复赛三-1-混注石油/problem.typ
T
sjfhsjfh c73a2c903f feat(examples): migrate TH-141 sample to declarative layout (WU-6)
Real-content fixture for the end-to-end pipeline. TH-141 (39 parts: 22 segment,
15 lemma, 2 example) migrated from the prototype's typst `#let parts` manifest
to ADR-0008: declarative manifest.toml (project+info+ordered parts+targets) +
per-element element.toml (kind + scalars; examples carry `source`). Content .typ
files copied byte-identical (no math corruption); per-element main.typ + meta.toml
dropped (wiring is now generated). Part order matches source exactly; 5 lemmas
have no proof.typ (optional); no cross-file imports / paralearn refs / figs.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-22 01:33:40 +08:00

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Typst

某油井内未抽出的石油温度 $100 thin "℃"$,密度为水的 $80%$、比热容为水的 $60%$,记此为参考态。混合物表面张力系数
$ sigma \/ (10^(-3) thin "N/m") = 60 + 0.065 thin T \/ "K" - 24.0 thin p \/ "bar" + 3.15 thin (p \/ "bar")^2 . $
参考态下 $p$ $T$ 成正比,比例系数为等容压强系数 $beta = 7.28 times 10^(-3) thin "bar/K"$
某区域原本充满参考态石油,抽出一半的同时等体积注入水,混合后总体积等于两者之和,抽注过程绝热。问为使混合物 $sigma$ 最小,注入水的温度应为多少 ℃。