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CA -rA XA 1/-rA 1 18 0 0.055556 0.9 16.2 0.1 0.061728 0.8 14.4 0.2 0.069444 0.7 12.6 0.3 0.079365 0.6 10.8 0.4 0.092593 0.5 9 0.5 0.111111 0.4 7.2 0.6 0.138889 0.3 5.4 0.7 0.185185 0.2 3.6 0.8 0.277778 0.1 1.8 0.9 0.555556 CA0 = 1 lbmol/ft3 v0 = 900 ft3/hr Part B PFR from XA=0-0.4 V=CA0*v0*Int(dXA/-rA from CSTR from XA=0.4-0.8 Part C CSTR from XA=0-0.4 PFR from XA=0.4-0.8 V=CA0*v0*Int(dXA/-rA from REFERENCE: Levenspiel, Chemical Reaction Engineering, 3/e V=CA0*v0*ΔXA /-rA=900*(0.8 V=CA0*v0*ΔXA /-rA=900*(0.4 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 1/-r_A vs X_A 0 0.1 0 2 4 6 8 10 12 14 16 18 20 f(x) = − 18 R² = 1

PFR CSTR

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Page 1: PFR CSTR

CA -rA XA 1/-rA1 18 0 0.055556

0.9 16.2 0.1 0.0617280.8 14.4 0.2 0.0694440.7 12.6 0.3 0.0793650.6 10.8 0.4 0.0925930.5 9 0.5 0.1111110.4 7.2 0.6 0.1388890.3 5.4 0.7 0.1851850.2 3.6 0.8 0.2777780.1 1.8 0.9 0.555556

CA0 = 1 lbmol/ft3v0 = 900 ft3/hr

Part BPFR from XA=0-0.4 V=CA0*v0*Int(dXA/-rA from 0 to 0.4)=900*Int(dXA/(-18XA+18) from 0 to 0.4)=CSTR from XA=0.4-0.8

Part CCSTR from XA=0-0.4PFR from XA=0.4-0.8 V=CA0*v0*Int(dXA/-rA from 0.4 to 0.8)=900*Int(dXA/(-18XA+18) from 0.4 to 0.8)=

REFERENCE: Levenspiel, Chemical Reaction Engineering, 3/e

V=CA0*v0*ΔXA /-rA=900*(0.8-0.4)/(-18*0.8+18)=

V=CA0*v0*ΔXA /-rA=900*(0.4-0)/(-18*0.4+18)=

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.1

0.2

0.3

0.4

0.5

0.6

1/-r_A vs X_A

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

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20

f(x) = − 18 x + 18R² = 1

-r_A vs X_A

Page 2: PFR CSTR

=>the graph tells us that -rA = -18XA+18

V=CA0*v0*Int(dXA/-rA from 0 to 0.4)=900*Int(dXA/(-18XA+18) from 0 to 0.4)= 25.54 ft3 V1100 ft3 V2

33.33 ft3 V1V=CA0*v0*Int(dXA/-rA from 0.4 to 0.8)=900*Int(dXA/(-18XA+18) from 0.4 to 0.8)= 54.93 ft3 V2

ΔXA /-rA=900*(0.8-0.4)/(-18*0.8+18)=

ΔXA /-rA=900*(0.4-0)/(-18*0.4+18)=

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

2

4

6

8

10

12

14

16

18

20

f(x) = − 18 x + 18R² = 1

-r_A vs X_A