Hydrogen fuel cell

Matrix context

D = disequilibrium row · C = coupling family column. A cell reads the state of the atlas for that pair.

D.05 × C.21 · Chemical potential difference × Electrochemicalfamily: Electrochemical

Typed bounds on this route

Every limit the atlas holds for this route, as constraint records: reached through bounded_by claims on the route's own entities. Hard bounds (an upper bound or a formula) decide the thermodynamic-bound check above; benchmarks, constitutive relations and resource limits are listed and never decisive. No prose limit exists anywhere (pass 42).

• Nernst / Gibbs free-energy bound · resource-bound · listed, never decisive
  W_electrical ≤ −ΔG = nFE_cell
• Reversible electrochemical efficiency (ΔG/ΔH) · formula-bound · hard, applies to this route
  η ≤ ΔG/ΔH of the cell reaction; 237.1/285.8 = 0.83 for H₂ + ½O₂ → H₂O(l) at 25 °C, 1 atm (higher-heating-value basis)

Steps

1. 01
   Chemical potential difference —drives→ Fuel-cell electro-oxidationestablishedclaim record

   chemical → electrical · loss to thermal

   • continuous supply of fuel and oxidant to catalysed electrodes separated by a proton- or oxide-conducting electrolyte

   selective membrane required

   refs [1] [2] [3]
2. 02
   Fuel-cell electro-oxidation —produces→ Ionic currentestablishedclaim record

   electrical → electrical · loss to thermal

   refs [2]
3. 03
   Ionic current —converts into→ Electrical workestablishedclaim record

   electrical → electrical · loss to thermal

   • electrodes exchange the ionic current for an electronic current through the external load

   refs [2]

Evidence for the complete composition · 2

1. [1]
   W. R. Grove. On voltaic series and the combination of gases by platinum (1839)

   Philosophical Magazine 14, 127–130 · doi:10.1080/14786443908649684 · crossref ✓ 2026-09-19 · record
2. [2]
   A. J. Bard, L. R. Faulkner. Electrochemical Methods: Fundamentals and Applications (2nd ed.) (2001)

   Wiley · book, no DOI · record

Evidence for the constituent relations · 3

1. [1]
   W. R. Grove. On voltaic series and the combination of gases by platinum (1839)

   Philosophical Magazine 14, 127–130 · doi:10.1080/14786443908649684 · crossref ✓ 2026-09-19 · record
2. [2]
   A. J. Bard, L. R. Faulkner. Electrochemical Methods: Fundamentals and Applications (2nd ed.) (2001)

   Wiley · book, no DOI · record
3. [3]
   N. A. A. Qasem, G. A. Q. Abdulrahman. A recent comprehensive review of fuel cells: history, types, and applications (2024)

   International Journal of Energy Research 2024, 7271748 · doi:10.1155/2024/7271748 · crossref ✓ 2026-09-19 · record