
mass balance in adsorption and absorption
What is Adsorption?
- Adsorption is a separation of mixture of liquids or gases based on affinity into solid adsorbent.
Steps to solve the material balance:
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Read and understand the process description
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Draw flowchart
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Write down all variables with labels
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Assign algebraic letters to unknown
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DOF analysis
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Assign basis and write mass balance equation
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Solve the equations
Example:
Wet air containing 4.0 mol% water vapor is passed through an adsorption column containing calcium chloride pellets. The pellets adsorb 97.0% of the water and none of the other constituents of the air. The column packing was initially dry and had a mass of 3.40 kg. Following 5.0 hours of operation, the pellets are re-weigh and found to have a mass of 3.54 kg. Calculate the molar flow rate (mol/h) of the feed gas and mole fraction of water vapor in the product gas.
DOF ANALYSIS
4 unknowns :
3 independent equations
DoF = Unknowns. - Independent Equations
= 4 – 3
DoF = + 1
Overall mass balance
INPUT=OUTPUT + ACCUMULATION (water in pellets - CaCl2)






Absorption Unit:
- separation of mixture of gases based on gas solubility in liquid solvent
Steps to solve the material balance:
-
Read and understand the process description
-
Draw flowchart
-
Write down all variables with labels
-
Assign algebraic letters to unknown
-
DOF analysis
-
Assign basis and write mass balance equation
-
Solve the equations
Example:
Gas absorption of gas scrubbing is a commonly used method for removing environmentally undesired species from waste gases in chemical manufacturing and combustion processes. A waste gas containing 10 mol% SO2 (a precursor of acid rain) and several other species (collectively as A) is fed to scrubbing tower where it contacts a solvent (B) that absorbs SO2. The ratio of liquid stream to gas stream fed to the column is 5. The solvent feed rate to the tower is 1000 mol/min. The absorption unit has an efficiency of 98%. Assume that the absorption of A and evaporation of B in the scrubbing can be neglected, calculate the mole fraction of SO2 in the liquid and gas streams.



