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Reactor Design 375
System Properties
(Ah n) nV = Ii c pi' nv/ (T R' - T 0') (7.4.17)
(Ah n+1) nvi = Si c pi' nvi, i (T R' - T 0') (7.4.18)
AH° R =H° C' -(HV -HY) (7.4.19)
k = A' exp (- E' / R' T R') (7.4.20)
Uj = f(reaction solution', jacket fluid') — Table 7.6 (7.4.21)
U c = ^reaction solution', coil fluid') — Table 7.6 (7.4.22)
Unknowns
nVi, A - x n+i, A - Ah n - Ahn +1 - AH° R - r n> A - V r - c n + 1>A - V R - Qj - U, - Aj - T, -
Q n - U c - Ac - T c - A R - Q c - P n - p - k
Table 7.5 Calculation Procedure for Sizing CSTRs____________
1. Obtain the reaction volume, V r , from Equations 7.4.1, 7.4.3 to 7.4. 5 and
7.4.20.
2. Select a standard reaction volume, V (rated capacity), from Equation 7.4.6.
R
x
3. Calculate the actual conversion, , using the rated capacity, Equations 7.4.1
n> A
and 7.4.3 to 7.4.5.
4. Next calculate the heat-transfer rate in each reactor, Q n, from Equations 7.4.2
and 7.4.17 to 7.4.19.
5. Determine if the jacket area, Aj, is sufficient.
6. Calculate the jacket heat-transfer rate, Q J; from Equations 7.4.7 to 7.4.9 and
7.4.21.
7. Determine if Qj is sufficient from Equation 7.4.10.
8. If not, determine if the coil area, A c, is sufficient.
9. Calculate the coil heat-transfer rate, Q c, from Equations 7.4.11 to 7.4.13 and
7.4.22.
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