This paper reports experimental and modeling work for the laboratory scale-up of continuous ''trickle-bed'' reactors for the electro-reduction of CO 2 to potassium formate. Two reactors (A and B) were employed, with particulate tin 3D cathodes of superficial areas, respectively, 45 · 10 À4 (2-14 A) and 320 · 10 À4 m 2 (20-100 A). Experiments in Reactor A using granulated tin cathodes (99.9 wt% Sn) and a feed gas of 100% CO 2 showed slightly better performance than that of the tinned-copper mesh cathodes of our previous communications, while giving substantially improved temporal stability (200 vs. 20 min). The seven-fold scaled-up Reactor B used a feed gas of 100% CO 2 with the aqueous catholyte and anolyte, respectively [0.5 M KHCO 3 + 2 M KCl] and 2 M KOH, at inlet pressure from 350 to 600 kPa(abs) and outlet temperature 295 to 325 K. For a superficial current density of 0.6-3.1 kA m À2 Reactor B achieved corresponding formate current efficiencies of 91-63%, with the same range of reactor voltage as that in Reactor A (2.7-4.3 V), which reflects the success of the scale-up in this work. Up to 1 M formate was obtained in the catholyte product from a single pass in Reactor B, but when the catholyte feed was spiked with 2-3 M potassium formate there was a large drop in current efficiency due to formate cross-over through the Nafion 117 membrane. An extended reactor (cathode) model that used four fitted kinetic parameters and assumed zero formate cross-over was able to mirror the reactor performance with reasonable fidelity over a wide range of conditions (maximum error in formate CE = ±20%), including formate product concentrations up to 1 M.Keywords Carbon dioxide Á Continuous reactor Á Electro-reduction Á Formate Á 3D electrode Á Scale-up Á Tin granule cathode Nomenclature a 1 ,a 2 Tafel constant for reaction 1, 2 (V) b 1 ,b 2 Tafel slope for reaction 1, 2 (V decade À1 ) C
Concentration of KCl (M) CECurrent efficiency (-) d p, average Average particle diameter (m) E a,1 , E a,2 Activation energies for reactions 1 and 2 (kJ kmol À1 ) E cell Full-cell operating voltage (absolute value) (V) E 1 , E 2 Electrode potential for reaction 1 and 2 (V(SHE)) E r,1 , E r,2 Reversible electrode potential for reaction 1 and 2 (V(SHE)) G Gas flow rate (mL STP min À1 ) H Height of 3D cathode (m)Exchange current densities for reactions 1 and 2 (kA m À2 ) j 1 ,j 2 Partial real current density for reaction 1, 2 (kA m À2 ) j 1L CO 2 mass transfer limited current density for reaction 1 (kA m À2 ) k 1 , k 2 Electrochemical rate constants for reactions 1 and 2 (m s À1 ) L Catholyte liquid flow rate (mL min À1 ) P cathode Cathode side pressure (kPa(abs))