1 TAME synthesis problem Tert-Amyl Methyl Ether (TAME) is an ...
1 TAME synthesis problem Tert-Amyl Methyl Ether (TAME) is an ...
1 TAME synthesis problem Tert-Amyl Methyl Ether (TAME) is an ...
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Additional information for solving the <strong>problem</strong><br />
• Thermodynamic equilibrium const<strong>an</strong>ts, activity based (Vilarinho Ferreira <strong>an</strong>d Loureiro, 2001)<br />
3<br />
⎛ 5.<br />
0166×<br />
10 ⎞<br />
Keq = exp ⎜<br />
− 10.<br />
839 ⎟<br />
1<br />
(I.1)<br />
⎝ T<br />
⎠<br />
3<br />
⎛ 3.<br />
7264×<br />
10 ⎞<br />
Keq = exp ⎜<br />
− 9.<br />
6367 ⎟<br />
2<br />
(I.2)<br />
⎝ T<br />
⎠<br />
Keq<br />
Keq = (I.3)<br />
1<br />
3<br />
Keq2<br />
with: T in Kelvin<br />
• Kinetic const<strong>an</strong>ts for the direct reactions (Kivir<strong>an</strong>ta-Pääkkönen et al., 1998)<br />
k<br />
k<br />
k<br />
1<br />
2<br />
3<br />
3<br />
10 ⎛ 76.<br />
8×<br />
10 ⎞<br />
= 3 . 2870 × 10 exp ⎜<br />
⎜−<br />
⎟<br />
(I.4)<br />
⎝ R T ⎠<br />
3<br />
13 ⎛ 99.<br />
7 × 10 ⎞<br />
= 3 . 9682 × 10 exp ⎜<br />
⎜−<br />
⎟<br />
(I.5)<br />
⎝ R T ⎠<br />
3<br />
10 ⎛ 81.<br />
7 × 10 ⎞<br />
= 7 . 4767 × 10 exp ⎜<br />
⎜−<br />
⎟<br />
(I.6)<br />
⎝ R T ⎠<br />
with: k in mol.<br />
T in Kelvin<br />
−1<br />
kg cat .s -1<br />
R = 8.314 J.mol -1 .K -1<br />
• Adsorption const<strong>an</strong>ts for each component, activity based (calculated <strong>an</strong>d adapted from Oktar et<br />
al., 1999)<br />
3<br />
⎛ 4.<br />
6825×<br />
10 ⎞<br />
K1B = exp ⎜<br />
− 10.<br />
157 ⎟ , 1B = 2M1B (I.7)<br />
⎝ T<br />
⎠<br />
3<br />
⎛ 3.<br />
4420 × 10 ⎞<br />
K = exp ⎜<br />
− 6.<br />
5849 ⎟<br />
2B<br />
, 2B = 2M2B (I.8)<br />
⎝ T<br />
⎠<br />
3<br />
⎛1.<br />
0014 × 10 ⎞<br />
K M = exp ⎜<br />
+ 4.<br />
7496 ⎟ , M = MeOH (I.9)<br />
⎝ T<br />
⎠<br />
3<br />
⎛ 2.<br />
3934 × 10 ⎞<br />
KT = exp ⎜<br />
− 3.<br />
5736 ⎟ , T = <strong>TAME</strong><br />
⎝ T<br />
⎠<br />
with: T in Kelvin<br />
(I.10)<br />
2