{"id": "card_pchem_equilibrium", "kind": "reference", "title": "Equilibrium — Delta G = -RT ln K", "body": "A reaction settles where the equilibrium constant K is fixed by the free energy: Delta G-naught = -RT ln K (sealed, -5.71 kJ/mol for K = 10 at 298 K). The bridge from thermodynamics to the measured ratio of products to reactants. Rests on thermodynamics.", "source": {"label": "Narrow Highway — physical chemistry", "url": "", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "physical_chemistry", "bands": ["physical chemistry", "pillar", "equilibrium", "one map"], "subject": "Equilibrium — Delta G = -RT ln K", "connections": [{"to_card_id": "card_floor_physical_chemistry", "relationship": "part_of", "evidence": "a branch of physical chemistry (Equilibrium)"}, {"to_card_id": "card_floor_thermodynamics", "relationship": "connects_at", "evidence": "the equilibrium constant is set by the free energy: Delta G = -RT ln K"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.physical.chemistry", "facets": {"subject": ["equilibrium", "one map", "physical chemistry", "pillar"]}, "presentation": {"glyph": "•", "kind_label": "physical chemistry", "by": "Narrow Highway — physical chemistry", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_floor_physical_chemistry", "title": "Physical chemistry — rate, equilibrium, acid-base, redox", "relationship": "part of", "why": "a branch of physical chemistry (Equilibrium)", "href": "/card/card_floor_physical_chemistry", "resolved": true}, {"id": "card_floor_thermodynamics", "title": "Thermodynamics — the arrow and the one end", "relationship": "connects at", "why": "the equilibrium constant is set by the free energy: Delta G = -RT ln K", "href": "/card/card_floor_thermodynamics", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_pchem_equilibrium", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_pchem_equilibrium"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}