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# Material & Energy Balance

Cumene Plant
by

## llallo Al-Nashri

on 19 August 2014

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#### Transcript of Material & Energy Balance

Material Balance:
feed ratio benzene to propylene 2:1
=200 mol/h
105 mol/h
305 mol/h
propylene =100mol/h
propane =5 mol/h
305 mol/h
xb=0.65
xp1=0.33
xp2=0.02
2 reaction are taking place:
material blance around the reactor:
C3H6+C6H6 C9H12

C3H6+C9H12 C12H18
2 information about the process inside the reactor:
propylene conversion in the reactor = 0.99
Cumene selectivity over the DIPB =31
X1+X2=99 mole/hr
(X1-X2)/X2=31
Using the general material balance equation effluent stream can be specified:
Reactor Effluent:
X1= 96 and X2=3
Input – output + generation – consumption=0
Benzene =104 mol/h
Propylene = 1mol/h
Propane = 5 mol/h
Cumene= 93 mol/h
DIBP= 3 mol/h
6 mol/hr
Propylene = 1mol/h
Propane = 5 mol/h
Benzene =104 mol/h
Cumene= 93 mol/h
DIBP= 3 mol/h
Top stream 98.1% benzene an the balance cumene.
Bottom stream is free of benzene.
Material Balance around T-201
benzene material balance and overall material balance around the column will help to find
(xb)F=(xb)D+(xb)B 104= (0.981)D+0
D=106.1 mol/h
F=D+B B=93.1 mol/h
Benzene =104 mol/h

Cumene = 2.1 mol/h
Cumene=90.1 mol/h
DIBP= 3 mol/h
Top stream 99.9% Cumene an the balance DIPB(0.001).
Bottom stream is free of Cumene.
material Balance around T-202
benzene material balance and overall material balance around the column will help to find
(xb)F=(xb)D+(xb)B 90.9= (0.999)D+0
D=90.99 mol/h
F=D+B B=2.91 mol/h
DIPB= 2.91 mol/h
cumene= 90.9 mol/h
DIPB= 0.09 mol/h
Cumene from T-202 =90.9 mol/h * 120= 10908 g/h = 10908*10^-6 ton/year
the plant operate 8000 h/year 87.26 ton/year

scaling up factor= 100,000/87.26 = 1146
Scale up factor:
Needed Raw Material:
Benzene = 143020.8 ton/year
Propylene = 38505.6 ton/year
Energy Balance
25 ⁰C 1 atm
350 ⁰C and 25 atm
Heating Duty
350 ⁰C and 25 atm
Exothermic Reaction
Cooling Duty
40 ⁰C and 1 atm
Cooling Duty
From
To
Flash Calculation
Cooling for Condenser
Cooling for Condenser
Heating Duty Before the Reactor
Benzene, Propylene and propane are heated from (25⁰C,1atm) to (350⁰C,25atm)
phase change
Reference point
collect vapor and liquid Cp
minor effect of (V∆P)
∆H= 4.17×10^9 Kj/ year
V∆P=12.78×10^3 Kj/year
Heat of formation method.
isothermal and isobaric operation.
Reference point for elements at 25 C
Cooling Duty to keep isothermal operation:
∆H =( H_formation +∫cp.dt〗).∆n
∆H=2.616×10^11 kj/year
Cooling Duty After the Reactor:
Benzene, Propylene, Propane, Cumene and DIPB are heated from (350⁰C,25 atm) to (40⁰C,1atm)
phase change
Reference point
collect vapor and liquid Cp
minor effect of (V∆P)
∆H= 2.49×10^13 Kj/ year
V∆P=971 Kj/year
H=∫cp.dt〗
H=∫cp.dt〗
Flash Calculation for Vapor Fraction:
benzene, cumene, propylene, propane
and DIPB at 40 ⁰C and 1 atm
V=0.0142
All distillate is benzene
column operate at 1 atm
Construct Process path to calculate ∆H
Cooling Duty for Distillate condenser
∆H= -3.9*10^10 kj/year
All distillate is Cumene
column operate at 1 atm
Construct Process path to calculate ∆H
Cooling Duty for Distillate condenser
∆H= -3.26*10^10 kj/year
Thank you
Done by:
Lahaq Al-Nashri 200640640
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