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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

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