{"uid":"cap_GHbT5IrK-gBMZJlKw6LBZ","slug":"carbonate-water-charge-balance-equilibrium-speciation-a9131988","name":"Carbonate Water Charge Balance Equilibrium Speciation","description":"Resolve complete carbonate speciation in an explicit bounded aqueous equilibrium model.","url":"https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B007/carbonate-water-charge-balance-equilibrium-speciation?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"artifact":{"type":"object","required":["carbonate"],"properties":{"carbonate":{"type":"object","required":["data","claim"],"properties":{"data":{"type":"object","required":["total_carbon_molar","alkalinity_molar","k1","k2","kw"],"properties":{"k1":{"type":"number","maximum":0.001,"minimum":1e-9},"k2":{"type":"number","maximum":1e-7,"minimum":1e-14},"kw":{"type":"number","maximum":1e-12,"minimum":1e-16},"alkalinity_molar":{"type":"number","maximum":2,"minimum":-1},"total_carbon_molar":{"type":"number","maximum":1,"minimum":1e-8}},"additionalProperties":false},"claim":{}},"additionalProperties":false}},"additionalProperties":false}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.003","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.003/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_ss3Q-hrBDqOmDFcmf9WvE","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.003","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Resolves complete carbonate speciation in an aqueous solution using an explicit bounded charge-balance equilibrium model given total carbon, alkalinity, and dissociation constants.","exampleAgentPrompt":"Solve the full carbonate speciation for a water sample with total dissolved carbon of 0.002 mol/L, alkalinity of 0.0022 mol/L, K1 of 4.3e-7, K2 of 4.7e-11, and Kw of 1e-14.","exampleUseCases":[{"title":"Groundwater pH estimation from field measurements","prompt":"I have a groundwater sample with total inorganic carbon of 0.003 mol/L and measured alkalinity of 0.0028 mol/L — using K1=4.3e-7, K2=4.7e-11, and Kw=1e-14, can you resolve the full carbonate speciation and tell me the equilibrium pH and species distribution?"},{"title":"Seawater carbonate chemistry for ocean acidification study","prompt":"For a seawater sample at standard conditions, total carbon is 0.002 mol/L and alkalinity is 0.0023 mol/L with K1=1.2e-6, K2=8.5e-10, and Kw=6e-14 — please compute the complete carbonate equilibrium speciation including bicarbonate and carbonate ion concentrations."},{"title":"Industrial water treatment alkalinity check","prompt":"We're treating process water with a total carbon concentration of 0.0015 mol/L and an alkalinity of 0.0018 mol/L — using K1=4.3e-7, K2=4.7e-11, and Kw=1e-14, run the full charge-balance carbonate equilibrium so we can verify the buffer capacity and pH."}],"resultDescription":"Returns the fully resolved carbonate speciation including equilibrium concentrations of all carbonate species (H2CO3, HCO3⁻, CO3²⁻), the equilibrium pH, hydroxide and hydrogen ion concentrations, and the charge balance residual for the aqueous system.","failureModes":["Input values outside allowed bounds (e.g. total_carbon_molar < 1e-8 or > 1) return a validation error","Thermodynamically inconsistent combinations of K1, K2, Kw may cause non-convergence of the equilibrium solver","Missing required fields (total_carbon_molar, alkalinity_molar, k1, k2, kw, or claim) return a 400 error","Payment not provided or insufficient USDC results in a 402 response","Extreme alkalinity values near the boundary (-1 or 2 mol/L) may produce physically unrealistic results"],"whenToPreferThis":"Choose this endpoint when you need a rigorous, closed-form bounded equilibrium solution for the full carbonate system in aqueous chemistry — particularly useful in geochemistry, hydrogeology, oceanography, and water treatment contexts where you have measured total dissolved inorganic carbon (DIC) and alkalinity alongside known or estimated dissociation constants. 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