Question

Asked Nov 18, 2019

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A packed tower uses an organic amine to absorb CO_2. The entering gas, which contains 1.26 mol % CO_2 is to leave with only 0.04 mol % CO_2. The amine enters pure, without CO_2. If the amine left in equilibrium with the entering gas (which it doesn't), it would contain 0.80 mol % CO_2. The gas flow is 2.3 mol/s, the liquid flow is 4.8 mol/s, the tower's diameter is 40 cm, and the overall mass transfer coefficient times the area per volume (Kya) is 5x10^-5 mol/cm^3*s. How tall should the tower be?

Use the following equation:

Step 1

The data given for the process are:

Flowrate of entering gas, G_{A} = 2.3 mol/s

Flowrate of entering liquid, L_{A} = 4.8 mol/s

Mole fraction of CO_{2} entering the tower in gas, Y_{0} = 0.0126

Mole fraction of CO_{2} leaving the tower in gas, Y_{1} = 0.0004

Mole fraction of CO_{2} entering the tower in liquid, X_{1} = 0.00

Mole fraction of CO_{2} leaving the tower in liquid in equilibrium, X^{*}_{0} = 0.008

Mole fraction of CO_{2} leaving the tower in liquid, X_{0}

Tower diameter, D = 40 cm

Overall mass transfer coefficient times the area per volume, K_{y}a = 5x10^{-5} mol/(cm^{3}.s)

Step 2

Apply overall mass balance on carbon dioxide (CO_{2}) to calculate the value of X_{0} as:

Step 3

Now, calculate the value of *m* which is the local slo...

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