The pore size distribution and specific surface area of the anodes were determined using a mercury intrusion technique (Micromeritics
AutoPore IV 9500). Mercury was pushed into the sample from 6.9 kPa (1 psia) to a maximum pressure of 206 843 kPa (30 000 psia). The relationship between this pressure (
P) and the pore diameter (
D) can be found through the Washburn equation assuming the pores are cylindrical,58 ,59
D = –4
γ cos(
θ)/
P where
γ is the surface tension of mercury (485 mN m
–1),
θ is the contact angle (130°) acting along the parameter of the pore. The pore size diameter is plotted as a function of the differential intrusion (ml g
–1 Å
–1) which is found by dividing the incremental intrusion (ml g
–1) by the difference in pore diameter (Å). The specific pore area (
A) is then calculated (
A = 4
V/
D) assuming a cylinder pore volume (
V = π
D2
h/4) and open cylinder pore area (
A = π
Dh). For each specific surface area measurement the contribution from the macro (∼75 μm) and meso (∼1 μm) pores while the contribution from the micropores (∼10 nm) could not be determined as the foams collapsed at the higher pressures (∼400 psia), a known problem when examining soft foams with mercury porosimetry.58 ,59
Call T.P., Carey T., Bombelli P., Lea-Smith D.J., Hooper P., Howe C.J, & Torrisi F. (2017). Platinum-free, graphene based anodes and air cathodes for single chamber microbial fuel cells †Electronic supplementary information (ESI) available. See DOI: 10.1039/c7ta06895f. Journal of Materials Chemistry. a, 5(45), 23872-23886.