{"query": "Acid-base — pKa   pKb = 14", "count": 10, "results": [{"id": "card_theory_br_nsted_lowry_acid_base_theory_ph", "title": "Brønsted–Lowry acid–base theory & pH", "shelf": "theories", "surface": "secular", "snippet": "Brønsted–Lowry acid–base theory & pH — an engine domain that can touch it: chemistry. Calibration: seals — pH, pKa and buffer calculations compute exactly. An acid DONATES a proton, a base ACCEPTS one", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_bridge_master_sigmoid", "title": "Master equation: y = 1 / (1 + e^(-x))", "shelf": "bridges", "surface": "secular", "snippet": "the S-curve — a soft switch between two states; a near-miss with logistic growth that IS a calculation. ONE equation, 7 domains, connected by a change of variable: economics [x = k(t - t0): the logist", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_floor_physical_chemistry", "title": "Physical chemistry — rate, equilibrium, acid-base, redox", "shelf": "codex", "surface": "secular", "snippet": "Deeper in chemistry: the laws that make it predictive. Kinetics (how fast), equilibrium (the balance point, Delta G = -RT ln K), acid-base (pKa + pKb = 14), and electrochemistry (the cell potential). ", "authority_tier": "engine_derived", "source": "Narrow Highway — physical chemistry", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_2_9_predicting_acid_base_reactions_from__99e66dac", "title": "2.9 Predicting Acid–Base Reactions from p K a Values — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "2.9\n\nPredicting Acid–Base Reactions from pKa Values\n\n2.9 • Predicting Acid–Base Reactions from pKa Values\n\nCompilations of pKa values like those in Table 2.3 and Appendix B are useful for predicting w", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_pchem_acid_base", "title": "Acid-base — pKa + pKb = 14", "shelf": "codex", "surface": "secular", "snippet": "For an acid and its conjugate base, pKa + pKb = pKw = 14 at 25 C (sealed). This is Ka * Kb = Kw, the autoionization of water, in logarithms - the backbone of pH, buffers and titrations. Rests on chemi", "authority_tier": "engine_derived", "source": "Narrow Highway — physical chemistry", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_9_7_alkyne_acidity_formation_of_acetylid_0c23179b", "title": "9.7 Alkyne Acidity: Formation of Acetylide Anions — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "9.7\n\nAlkyne Acidity: Formation of Acetylide Anions\n\n9.7 • Alkyne Acidity: Formation of Acetylide Anions\n\nThe most striking difference between alkenes and alkynes is that terminal alkynes are relativel", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_20_4_substituent_effects_on_acidity_4c599b91", "title": "20.4 Substituent Effects on Acidity — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "20.4\n\nSubstituent Effects on Acidity\n\n20.4 • Substituent Effects on Acidity\n\nThe listing of pKa values shown previously in Table 20.3 indicates that there are substantial differences in acidity from o", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_key_terms_c28f1131", "title": "Key Terms — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "Key Terms\n\n2 • Key Terms\n\n2 • Key Terms\n\nacidity constant (Ka)\n\nalkaloid\n\nBrønsted–Lowry acid\n\nBrønsted–Lowry base\n\nconjugate acid\n\nconjugate base\n\ndipole moment ()\n\ndispersion force\n\nelectronegativit", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_seal_90d941fb8e33d35856585a7982df66f1bc2837ad10d3c405aafc212363a84c8e", "title": "Receipt 90d941fb8e33… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"mathematics\",\n  \"dimensions\": [\n   \"reasoning\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": null,\n    \"confirmed_steps\": 1,\n    \"error", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_calc_titration_curve", "title": "Titration curve (Henderson-Hasselbalch)", "shelf": "calculations", "surface": "secular", "snippet": "Titration curve (Henderson-Hasselbalch) — chemistry. Formula: f = 1/(1 + 10^(pKa - pH)). Canonical FORM: logistic (dP/dt = rP(1 - P/K)) — the fraction deprotonated is a sigmoid in pH — a two-state occ", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_theory_br_nsted_lowry_acid_base_theory_ph"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}