Cortexa research tool·structure·scientific_calculator

EquilibriumSolver Calculate

Solve chemical equilibrium problems: simple Ksp dissolution, Ksp with complex formation (amphoterism), and common-ion effect. Uses numerical methods (Newton's method for complex systems, bisection for common-ion). Handles the full charge-balance equation for Ksp+Kf systems. Use for: solubility calculations, Ksp problems, common-ion effect, complex formation equilibria, amphoteric dissolution.

Livelast probed 2026-05-01 01:00Z· 119msCortexa

Status

The most recent probe succeeded. Safe to call from the agent today.

Last probed: 1d ago
Last success: 1d ago
Last latency: 119ms

Schema

JSON Schema the agent (or your API call) must match.

{
  "properties": {
    "Kf": {
      "description": "Formation constant for complex ion (required for ksp_complex mode).",
      "type": [
        "number",
        "null"
      ]
    },
    "Ksp": {
      "description": "Solubility product constant (Ksp).",
      "type": "number"
    },
    "common_ion_conc": {
      "description": "Common ion concentration in mol/L (required for common_ion mode).",
      "type": [
        "number",
        "null"
      ]
    },
    "operation": {
      "description": "Problem type: 'ksp_simple' for basic dissolution, 'ksp_complex' for dissolution + complex formation, 'common_ion' for Ksp with added common ion.",
      "enum": [
        "ksp_simple",
        "ksp_complex",
        "common_ion"
      ],
      "type": "string"
    },
    "stoich_anion": {
      "default": 1,
      "description": "Stoichiometric coefficient 'b' for the anion in MaXb (default: 1).",
      "type": [
        "integer",
        "null"
      ]
    },
    "stoich_cation": {
      "default": 1,
      "description": "Stoichiometric coefficient 'a' for the cation in MaXb (default: 1).",
      "type": [
        "integer",
        "null"
      ]
    }
  },
  "required": [
    "operation",
    "Ksp"
  ],
  "type": "object"
}

Examples (1)

Default EquilibriumSolver Calculate call

public-safeinput

{
  "Ksp": 1,
  "operation": ""
}

Expected response keys: success

Anonymous-safe example. Rate-limited; no sign-in required.

Identifiers

Catalog ID: tu_EquilibriumSolver_calculate
Tool name: EquilibriumSolver_calculate
Added: 2026-05-01 00:58Z
Tags: tooluniverse

EquilibriumSolver Calculate

Livelast probed 2026-05-01 01:00Z· 119msCortexa

Schema

JSON Schema the agent (or your API call) must match.

{ "properties": { "Kf": { "description": "Formation constant for complex ion (required for ksp_complex mode).", "type": [ "number", "null" ] }, "Ksp": { "description": "Solubility product constant (Ksp).", "type": "number" }, "common_ion_conc": { "description": "Common ion concentration in mol/L (required for common_ion mode).", "type": [ "number", "null" ] }, "operation": { "description": "Problem type: 'ksp_simple' for basic dissolution, 'ksp_complex' for dissolution + complex formation, 'common_ion' for Ksp with added common ion.", "enum": [ "ksp_simple", "ksp_complex", "common_ion" ], "type": "string" }, "stoich_anion": { "default": 1, "description": "Stoichiometric coefficient 'b' for the anion in MaXb (default: 1).", "type": [ "integer", "null" ] }, "stoich_cation": { "default": 1, "description": "Stoichiometric coefficient 'a' for the cation in MaXb (default: 1).", "type": [ "integer", "null" ] } }, "required": [ "operation", "Ksp" ], "type": "object" }