Table 5.

Reaction rates for Fischer–Tropsch synthesis.

Model	Rate equation	Model	Rate equation
FT-I (1)	${-r}_{\mathit{CO}}=\frac{k.b_{\mathit{CO}}.P_{\mathit{CO}}.P_{H_2}}{1+b_{\mathit{CO}}.P_{\mathit{CO}}}$	FT-X (1)	${-r}_{\mathit{CO}}=\frac{k_{\mathit{CO}}.b_{\mathit{CO}}.P_{\mathit{CO}}}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}}\right)}^2}$
FT-I (2)	${-r}_{\mathit{CO}}=\frac{k.b_{\mathit{CO}}.P_{\mathit{CO}}}{1+b_{\mathit{CO}}.P_{\mathit{CO}}}$	FT-X (2)	${-r}_{\mathit{CO}}=\frac{k_{\mathit{CO}}.b_{\mathit{CO}}.P_{\mathit{CO}}.{{(P}_{H_2})}^2}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}}\right)}^2}$
FT-II (1)	${-r}_{\mathit{CO}}=\frac{k_{H_2}.b_{H_2}.P_{H_2}}{1+b_{H_2}.P_{H_2}}$	FT-XI	${-r}_{\mathit{CO}}=\frac{k_{\mathit{CO}}.b_{\mathit{CO}}.P_{\mathit{CO}}.P_{H_2}}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}}\right)}^2}$
FT-II (2)	${-r}_{\mathit{CO}}=\frac{k_{H_2}.{{P_{\mathit{CO}}.(b}_{H_2}.P_{H_2})}^2}{{(1+b_{H_2}.P_{H_2})}^2}$	FT-XII (1)	${-r}_{\mathit{CO}}=\frac{k_{\mathit{CO}}.b_{\mathit{CO}}.P_{\mathit{CO}}}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},.,{\left(b_{H_2},.,P_{H_2}\right)}^{\frac{1}{2}}\right)}^2}$
FT-III	${-r}_{\mathit{CO}}=\frac{{k.P}_{\mathit{CO}}.b_{H_2}.P_{H_2}}{1+b_{H_2}.P_{H_2}}$	FT-XII (2)	${-r}_{\mathit{CO}}=\frac{k_{H_2}.b_{H_2}.P_{H_2}}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},.,{\left(b_{H_2},.,P_{H_2}\right)}^{\frac{1}{2}}\right)}^2}$
FT-IV (1)	${-r}_{\mathit{CO}}=\frac{{k.P}_{\mathit{CO}}.b_{H_2}.P_{H_2}}{{\left(1,+,{{(b}_{H_2}.P_{H_2})}^{\frac{1}{2}}\right)}^4}$	FT-XII (3)	${-r}_{\mathit{CO}}=\frac{k.b_{\mathit{CO}}.P_{\mathit{CO}}.{{(b}_{H_2}.P_{H_2})}^2}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},.,{\left(b_{H_2},.,P_{H_2}\right)}^{\frac{1}{2}}\right)}^6}$
FT-IV (2)	${-r}_{\mathit{CO}}=\frac{{k.P}_{\mathit{CO}}.{{(b}_{H_2}.P_{H_2})}^2}{{(1+{{(b}_{H_2}.P_{H_2})}^{\frac{1}{2}})}^4}$	FT-XIII	${-r}_{\mathit{CO}}=\frac{k.b_{\mathit{CO}}.P_{\mathit{CO}}.b_{H_2}.P_{H_2}}{{(1+2{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}}.{(b_{H_2}.P_{H_2})}^{1/2})}^4}$
FT-V	${-r}_{\mathit{CO}}=\frac{{k.P}_{\mathit{CO}}.b_{H_2}.P_{H_2}}{{\left(1,+,{{(b}_{H_2}.P_{H_2})}^{\frac{1}{2}}\right)}^2}$	FT-XIV (1)	${-r}_{\mathit{CO}}=\frac{k_{\mathit{CO}}.b_{\mathit{CO}}.P_{\mathit{CO}}}{{\left(1,+,{2\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},+,b_{H_2},.,P_{H_2}\right)}^2}$
FT-VI	${-r}_{\mathit{CO}}=\frac{{k.P}_{\mathit{CO}}.{{(b}_{H_2}.P_{H_2})}^{1/2}}{1+{{(b}_{H_2}.P_{H_2})}^{1/2}}$	FT-XIV (2)	${-r}_{\mathit{CO}}=\frac{k_{H_2}.b_{H_2}.P_{H_2}}{{\left(1,+,{2\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},+,b_{H_2},.,P_{H_2}\right)}^2}$
FT-VII (1)	${-r}_{\mathit{CO}}=\frac{k_{\mathit{CO}}.b_{\mathit{CO}}.P_{\mathit{CO}}}{\left(1,+,b_{\mathit{CO}},.,P_{\mathit{CO}},+,{{(b}_{H_2}.P_{H_2})}^{\frac{1}{2}}\right)}$	FT-XIV (3)	${-r}_{\mathit{CO}}=\frac{k.b_{\mathit{CO}}.P_{\mathit{CO}}.b_{H_2}.P_{H_2}}{{\left(1,+,{2\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},+,b_{H_2},.,P_{H_2}\right)}^3}$
FT-VII (2)	${-r}_{\mathit{CO}}=\frac{k_{H_2}.b_{H_2}.P_{H_2}}{{\left(1,+,b_{\mathit{CO}},.,P_{\mathit{CO}},+,{{(b}_{H_2}.P_{H_2})}^{\frac{1}{2}}\right)}^2}$	FT-XV (1)	${-r}_{\mathit{CO}}=\frac{k.{(b_{\mathit{CO}}.P_{\mathit{CO}})}^{1/2}.P_{H_2}}{{\left(1,+,{2\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}}\right)}^2}$
FT-VII (3)	${-r}_{\mathit{CO}}=\frac{k.b_{\mathit{CO}}.P_{\mathit{CO}}.{{(b}_{H_2}.P_{H_2})}^{1/2}}{{\left(1,+,b_{\mathit{CO}},.,P_{\mathit{CO}},+,{{(b}_{H_2}.P_{H_2})}^{\frac{1}{2}}\right)}^2}$	FT-XV (2)	${-r}_{\mathit{CO}}=\frac{k.{(b_{\mathit{CO}}.P_{\mathit{CO}})}^{1/2}.P_{H_2}}{1+{2\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{1/2}}$
FT-VIII	${-r}_{\mathit{CO}}=\frac{k.b_{\mathit{CO}}.P_{\mathit{CO}}.{{(b}_{H_2}.P_{H_2})}^2}{{\left(1,+,b_{\mathit{CO}},.,P_{\mathit{CO}},+,b_{H_2},.,P_{H_2}\right)}^2}$	FT-XVI	${-r}_{\mathit{CO}}=\frac{k.{{(b}_{\mathit{CO}}.P_{\mathit{CO}})}^{1/2}.{(b_{H_2}.P_{\mathit{CO}})}^{1/2}}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},+,{\left(b_{H_2},.,P_{H_2}\right)}^{\frac{1}{2}}\right)}^2}$
FT-IX (1)	${-r}_{\mathit{CO}}=\frac{k_{\mathit{CO}}.b_{\mathit{CO}}.P_{\mathit{CO}}}{1+b_{\mathit{CO}}.P_{\mathit{CO}}+b_{H_2}.P_{H_2}}$	FT-XVII	${-r}_{\mathit{CO}}=\frac{k.{{(b}_{\mathit{CO}}.P_{\mathit{CO}})}^{1/2}.b_{H_2}.P_{\mathit{CO}}}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},+,b_{H_2},.,P_{H_2}\right)}^2}$
FT-IX (2)	${-r}_{\mathit{CO}}=\frac{k_{H_2}.b_{H_2}.P_{H_2}}{1+b_{\mathit{CO}}.P_{\mathit{CO}}+b_{H_2}.P_{H_2}}$	FT-XVIII	${-r}_{\mathit{CO}}=\frac{k.{{(b}_{\mathit{CO}}.P_{\mathit{CO}})}^{1/2}.b_{H_2}.P_{\mathit{CO}}}{{\left(1,+,2,{\left(b_{\mathit{CO}},.,P_{\mathit{CO}}\right)}^{\frac{1}{2}},+,{\left(b_{H_2},.,P_{H_2}\right)}^{\frac{1}{2}}\right)}^3}$
FT-IX (3)	${-r}_{\mathit{CO}}=\frac{k.b_{\mathit{CO}}.P_{\mathit{CO}}.b_{H_2}.P_{H_2}}{{\left(1,+,b_{\mathit{CO}},.,P_{\mathit{CO}},+,b_{H_2},.,P_{H_2}\right)}^2}$