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Design of Distillation Column

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Design of distillation column

Design of distillation column

Number of theoretical stages

(a) Column height (H)


For a given tray
efficiency
Ex. 30 %
The actual number
of plates required
∆𝐻𝑓
𝑞 =1+ 𝑁𝑡 −1
𝜆𝑠 (𝑁𝑎 ) =
ή𝑝
∆𝐻𝑓 = (𝐻𝑓𝑠 − 𝐻𝑓 ) = 𝐶𝑝 𝑇𝑠𝑓 − 𝑇𝑓

𝑞
𝑠𝑙𝑜𝑝𝑒 =
𝑞−1 H = (𝑁𝑎 − 1) x Plate spacing (P) + 2 P
𝑥𝐷
𝐼𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 =
𝑅+1
• Column diameter (D) (at the top)

• Vapor rate 𝑉 = 𝐷(𝑅 + 1) = 𝑛ሶ


𝑅𝑇

• Volume of vapour rate 𝑄 = 𝑛ሶ
𝑃
𝜌𝐿 −𝜌𝑉
• Vapour velocity (v ) = 𝐾𝑉 (m/s)
𝜌𝑉

𝑉𝑜𝑙 𝑣𝑎𝑜𝑝 𝑟𝑎𝑡𝑒 𝑄ሶ m3/𝑠


• Cross sectional area of the column (C.S.A) = 𝑚 =m
2
Vapour velocity (v ) 𝑠
𝐶.𝑆.𝐴 𝑥 4
• Column diameter (D) =
𝜋
A feed mixture containing 44 mole% benzene and balance toluene is fed to a continuous fractionating column at the rate of 9
ton/hr to yield an overhead product of 97.4% mole benzene and a bottom product of 2.3% mole benzene. A reflux ratio of 3.5
is to be used. The molar latent heat of benzene and toluene may be taken and 30 MJ/K mol. The feed is liquid at 295K and has
a boiling point of 370.4 K. Design a suitable fractionating column and compute the following:
a) The number of theoretical plates and position of feed plate.
b) The quantity of steam at 240 kN/m2 required in the reboiler
c) The column height for a plate spacing of 450 mm.
d) The column diameter if it operates at atmospheric pressure and vapour velocity of 60 cm/s. (or)
e) The permissible velocity of the vapour related to the total cross-sectional area of the column in m/sec is given by Brown
Souders equation:
𝝆𝑳 −𝝆𝑽
Vapour velocity (m/s) = 𝑲𝑽 𝝆𝑽
𝑲𝑽 = constant = 0.0428
𝝆𝑳 𝒂𝒏𝒅 𝝆𝑽 are the densities of the liquid and vapour respectively in kg/m3
Data:
Feed mean molecular weight = 86.4 Kg/Kmol
Molecular weight of benzene = 78 Kg/Kmol
Molecular weight of toluene = 92 Kg/Kmol
Vapour flow in the stripping section = 2.48
Kmol/ mole of feed Kmol
Boiling point of benzene= 353.3K
Boiling point of toluene = 383.6K
Specific heat of feed = 1.84 kJ/Kg K
Tray spacing = 450 mm
Tray efficiency = 50%

Equilibrium data for benzene-toluene system:


x 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00
y 0.22 0.38 0.51 0.63 0.70 0.78 0.85 0.90 0.96 1.00

Where
x= Mole fraction benzene in liquid
y= Mole fraction benzene in vapour.

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