Table 12 Hydrolysis reaction rate equations.

From: Design, optimization and controllability analysis of an improved sulfur recovery unit based on SuperClaus process

Reaction

Rate equation (Note)

References

11

\(\:-{r}_{H2S}^{{\prime\:}}=\frac{1.66*{10}^{-4}\:\text{exp}\left(\frac{-30870}{RT}\right)\left(\:{P}_{{H}_{2}{S}^{\:}}\:{P}_{{SO}_{2}}^{0.5}-\:\frac{{P}_{{H}_{2}{O}^{\:}}\:{P}_{{S}_{8}}^{0.1875}}{K}\:\right)}{{\left(\:1+\:1.125*{10}^{-5}\:\text{exp}\left(\frac{-2520}{RT}\right)\:{P}_{{H}_{2}{O}^{\:}}\:\right)}^{2}}\)

\(\:\text{K}=\sqrt{{\text{K}}_{\text{E}}},{\text{K}}_{\text{E}}{\:=\:9.502\text{*}10}^{-7}\:\text{e}\text{x}\text{p}\:(\frac{1.11\text{*}{10}^{4}}{\text{T}}\))

36

12

\(\:-{r}_{CS2}^{{\prime\:}}\:=\:\frac{0.639\:exp\left(\frac{-2530}{RT}\right)\:{P}_{{cs}_{2}}\:{P}_{{H}_{2}{O}^{\:}}}{(\:1+\:1.25\:exp(\frac{-83200}{RT}\left)\:{P}_{{H}_{2}{O}^{\:}}\right)}\)

10

13

\(\:-{r}_{COS}^{{\prime\:}}\:=\:\frac{5.486\:exp\left(\frac{-40400}{RT}\right)\:{P}_{cos}\:{P}_{{H}_{2}{O}^{\:}}}{(\:1+\:3.43\:exp(\frac{98100}{RT}\left)\:{P}_{{H}_{2}{O}^{\:}}\right)}\)

10

  1. r’ in mole/kg.s, T in K and Pi in kPa.