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B. Tech. Petrochemical Engineering Multicomponent Distillation University College of Engineering (A) Kakinada Dept. of Petroleum Engineering & Petrochemical Engineering Lewis Matheson Method Jawaharlal Nehru Technological University Kakinada Prof. K. V. Rao Programme Director Petroleum Courses JNTUK

Lewis Matheson Method-1

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Page 1: Lewis Matheson Method-1

B. Tech. Petrochemical Engineering

Multicomponent Distillation

University College of Engineering (A) KakinadaDept. of Petroleum Engineering & Petrochemical Engineering

Lewis Matheson Method

Jawaharlal Nehru Technological University Kakinada

Prof. K. V. RaoProgramme DirectorPetroleum Courses

JNTUK

Page 2: Lewis Matheson Method-1

Calculate the number of stages using the lewis- Matheson method for the separation of a multicomponent mixture, the data of which are given below :Distillate = 38.5 moles/hr, Bottom 61.5 moles/hr, Feed = 100 moles / hr, R = 1.722All streams are saturated liquids.

Input Data:R = 1.722% of lighter fraction in distillate = 99%

Component Feed α Distillate di xid Bottoms, bi xib

Methane 5 7.356 5.005 0.13 0 0Ethane (LK) 35 2.091 31.955 0.83 3.075 0.05Propylene

(HK) 15 1 0.9625 0.025 14.022 0.228Propane 20 0.901 0.5775 0.015 19.434 0.316i-Butane 10 0.507 0 0 9.963 0.162n-Butane 15 0.408 0 0 15.006 0.244

Total ---------- 100 38.5 1 61.5 1

Page 3: Lewis Matheson Method-1

Rectifying section :

Material balance : vn,i= ln-1,i + di

Equilibrium : ln,i= (L(vn,i/αi)/ (∑(vn,i/αi)))

Material balance : l'm+1,i= v'm,i+ bi

Equilibrium : v'ri= V' * ( αi * bi/ ∑αi * bi)for reboiler stage

Striping Section:

Page 4: Lewis Matheson Method-1

Thank You