Some Applications of Bayes' Rule in Probability Theory to Electrocatalytic Reaction Engineering

Table 1

Postulated distribution pattern of 137 failure occurrences over a fixed time period in three independently operating (hypothetical) electrolytic plants using identical catalytic oxygen cathodes (Application 1).

Source of failure	Number of cathode failures over a fixed period of operation
	Plant 1 (B1)	Plant 2 (𝐵2)	Plant 3 (𝐵3)
A1: Catalyst surface area^(1)	12	14	10
A2: Pore volume^(2)	7	8	9
A3: Binder content^(3)	9	5	7
A4: Catalyst content^(4)	6	4	5
A5: Human error^(5)	14	11	16
Total number of failures	48	42	47

⁽¹⁾ Electrolytic carbon type P33: specific surface area is less than stipulated 1000 m²/g.
⁽²⁾ Electrolytic carbon type P33: specific pore volume is less than stipulated 2.3 cm³/g.
⁽³⁾ PTFE binder content in electrode layer is less than stipulated 10%.
⁽⁴⁾ CoTAA (dibenzotetraazaannulen cobalt II) catalyst content on carbon is less than stipulated 15%.
⁽⁵⁾ Careless stack assemblage and general operation.