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# L3 - Lecture 3 McCabe-Thiele Method Absorption Factor...

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Lecture 3 McCabe-Thiele Method Absorption Factor Desorption

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Determination of number of Ideal Stages: McCabe-Thiele Method Ex: Gas Absorption: NH 3 from air H 2 0 Given: Input Concentration x a ( x o ), y b ( y N+1 ) L a , V b Desired y a ( y 1 ) 1. Get x b ( x N ), from a complete balance on the whole unit. 2. Plot (x a , y a ) , (x b , y b ) . (In abs: y a < y b ). x a x b y a y b
3. Plot equilibrium line (from thermo). 4. Draw the operating line. x a x 2 x 3 x 4 x 5 x 1 y a y 2 y 3 y 4 y b Operating Line Equilibrium Line y 5 x b

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1 1 1 + + + + = n a a a a n n n n V x L y V x V L y ) 1 ( rate gas Inert ) 1 ( rate liquid Inert 1 1 + + = = n n n n y V x L Choose “x n ” generic between x a and x b and calculate generic “y n+1 ”.
Plot to obtain the Operating Line. 5. From y a , calculate x 1 using the Equilibrium Line. 6. From x 1 , use operating line to get y 2 . 7. Repeat steps 5 and 6 until x n > x b . 8. Calculate a fractional stage: Set i = 5 because x 5 > x b = + i i i b i i i b x x x x y y y y 1 1 , Average

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