Assignment 5 - 2012
| Due date(s): | 30 November |
 (PDF)
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Assignment questions |
| Partial assignment. The rest of the questions are coming soon. |
<rst> <rst-options: 'toc' = False/> <rst-options: 'reset-figures' = False/>
Assignment objectives
=========
- Objectives**: Confirming your understanding of liquid-liquid extraction and adsorption.
.. |micron| replace:: :math:`\mu \text{m}`
.. question::
:math:`2.5\,\text{m}^3` of wastewater solution with :math:`0.25\, \text{kg phenol.m}^{-3}` is mixed in a batch reactor with 3.0 kg granular activated carbon until equilibrium is reached. Use the following values determined in the lab, calculate the final equilibrium values of phenol extracted and percent recovery.
===================== ======================
:math:`C_\text{A}` :math:`C_\text{A,S}`
===================== ======================
0.004 0.026
0.0087 0.053
0.019 0.075
0.027 0.082
0.094 0.123
0.195 0.129
===================== ======================
#. Plot the isotherm.
#. Determine the isotherm type.
#. Calculate the isotherm parameters.
#. Calculate the steady-state conditions in the batch reactor for :math:`C_\text{A}` in :math:`\text{g.cm}^{-3}` and for :math:`C_\text{A,S}` in grams solute per gram of activated carbon.
#. Calculate the percentage amount of phenol that is recovered by the adsorbent.
.. question::
The aim is to recover ethylene glycol from water using furfural as solvent (the ternary diagram for furfural, ethylene glycol and water at the unit's operating temperature `is provided <http://learnche.mcmaster.ca/wiki_4M3/images/1/1a/2012-4M3-Ternary-diagram-question-2-assignment-5.pdf>`_).
#. Calculate the equilibrium compositions leaving a single mixer-settler unit operated at:
* the recycled solvent stream: :math:`105\,\text{kg.hr}^{-1}` with a composition of 84% furfural, and unrecovered ethylene glycol at 5%, with the rest being water. * the feed stream contains 42% ethylene glycol and 58% water at a rate of :math:`200\,\text{kg.hr}^{-1}`.
#. Calculate the flow rates of the extract and raffinate streams.
#. What is the distribution (partition) coefficient, :math:`D_\text{A}`, for A = ethylene glycol (see course notes for definition)?
#. What is the distribution (partition) coefficient, :math:`D_\text{C}`, for C = water, using this same definition?
#. What is the separation factor for :math:`i=\text{ethylene glycol}` from :math:`j=\text{water}` in the 1=extract and 2=raffinate streams? Also show the relationship between the separation factor and the previous two distribution coefficients.
#. What will happen to the separation factor when operating at a lower feed flow rate; show a construction on your diagram to demonstrate it.
.. raw:: latex
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