CE20095 - Separation by Distillation and Evaporation Flashcards
How is relative volatility found?
By dividing the partial pressure of the component by its mole fraction
How is liquid mole fraction of a found, considering vapour mole fraction and relative volatility?
x.a = y.a/(a-(a-1)*y.a)
Learn to derive
What’s continuous fractionation?
When the distillation column cylinder is divided into sections by a series of perforated trays: the vapour passes through the tray as the liquid flows across it, over a weir and to the tray below.
There is a continual movement of vapour up, and liquid down through the column.
At each stage, an ideal column will attain equilibrium between liquid and vapour. This means that there is a transfer of more volatile components from the liquid to the vapour, and a transfer of less volatile components from the vapour to the liquid.
This results in a reduction in both temperature and pressure when moving up the column.
At the top of the column, the vapour is condensed and a portion returned as liquid reflux to the top plate. The rest goes as top product. At the bottom of the column, a portion of the liquid from the bottom plate is reboiled and the vapour sent up the column. The rest becomes bottom product.
There is thus a continual movement of vapour up, and liquid down the column.
What nomenclature and subscripts are used within the McCabe Thiele method?
Nomenclature: L – liquid flow rate V- vapour flow rate W – bottom product rate D – distillate (tops) product rate. F – feed flow rate x- mol fraction of a component in the liquid phase y- mol fraction of a component in the vapour phase
Subscripts:
m- plate below feed plate, n- plate above feed plate
d- distillate
q- intersection of operating line
Where q is the heat to vaporise 1 mole of feed / molar latent heat of feed
What’s the q line in the McCabe Thiele method?
q is the heat to vaporise 1 mole of feed / molar latent heat of feed
The q line gradient depends upon the feed condition:
Boiling point feed q=1 (Slope of q line is vertical)
Cold liquid feed q>1 (slope of q line is positive)
Feed partly vapour 0
What is the y-int of a McCabe Thiele diagram?
xd / (R + 1)
Where:
xd is the mole fraction of the distillate (top product)
R is the reflux ratio (equal to L/D)
What’s reflux ratio and how is it found?
R = flow returned as reflux / flow of top product taken off
R= Ln/D (Vn = Ln + D)
nm - min # stages
Rm - min reflux ratio
What’s nm and when does it occur?
Min number of stages - occurs at total reflux
How can number of plates at total reflux be found?
Fenske method (can never get complete separation)
Or graphical
What method is used to find min reflux ratio, Rm?
Underwood-Fenske
Or graphical
What are typical reflux ratios used?
Practical reflux ratios lie between Rm and total reflux. A typical value for design purposes is 1.3 - 1.5 x Rm.
How is overall column efficiency found?
Eo = number ideal stages / number real stages
How is murphree plate efficiency found?
En = (yn - yn-1)/(ye - yn-1)
How are the actual number of trays in a column determined?
A ‘pseudo-equilibrium’ curve is drawn halfway (on a vertical line) between the operating lines and the true-equilibrium curve.
The true-equilibrium curve is used for the first stage (the partial reboiler is assumed to be an equilibrium stage), but for all other stages the vapour leaving each stage is assumed to approach the equilibrium value yn* only 50 % of the way. Consequently, the steps in the figure present actual trays.
What’s flash vaporisation?
This is a single stage operation (usually continuous) the liquid mixture is partially vaporised, and allowed to contact the residual liquid. The system is at equilibrium.
The resulting vapour and liquid phases are separated and removed from the equipment. Since stage operations such as differential or flash distillation are limited in the maximum purity of the product possible.
This method, frequently carried out as a continuous process, consists of vaporising a definite fraction of the liquid feed in such a way that the vapour evolved is in equilibrium with the residual liquid.
The feed is usually pumped through a fired heater and enters the still through a valve where the pressure is reduced. The still is essentially a separator in which the liquid and vapour produced by the reduction in pressure have sufficient time to reach equilibrium. The vapour is removed from the top of the separator and is then usually condensed, while the liquid leaves from the bottom.
What’s the purpose of weirs on tray plates?
A weir on the tray ensures that there is always some liquid (holdup) on the tray and is designed such that the the holdup is at a suitable height, e.g. such that the bubble caps are covered by liquid.
Being lighter, vapour flows up the column and is forced to pass through the liquid, via the openings on each tray. The area allowed for the passage of vapour on each tray is called the active tray area
What’s the active tray area?
The area allowed for the passage of vapour on each tray
How are DC trays/plates designed?
In any tray vapour rises through the liquid pool on the tray deck and then disengages from the liquid in the space above the deck.
Liquid enters the tray from a downcomer above and leaves via a downcomer below.
A tray has three functional zones:
(i) Active area for mixing vapour and liquid: This is the zone where mass transfer occurs.
(ii) Vapour space above the active area: This is the zone in which liquid is separated from vapour.
(iii) Downcomer between trays. This zone has two functions; moving liquid from one contacting tray to another and disengaging vapour from liquid.
What do trays do within DCs?
A tray essentially acts as a mini-column, each accomplishing a fraction of the separation task.
The more trays there are, the better the degree of separation.
The overall separation efficiency will depend significantly on the design of the tray.
Trays are designed to maximise vapour-liquid contact by considering the liquid distribution and vapour distribution on the tray. This is because better vapour-liquid contact means better separation at each tray, translating to better column performance.
Less trays will be required to achieve the same degree of separation. Benefits include less energy usage and lower construction costs.
What are the main types of DC trays?
Bubble cap trays
Sieve trays
Valve trays
What are bubble cap trays?
Trays in DCs which have a riser or chimney fitted over each hole, and a cap that covers the riser.
The cap is mounted so that there is a space between riser and cap to allow the passage of vapour.
Vapour rises through the chimney and is directed downward by the cap, finally discharging through slots in the cap, and finally bubbling through the liquid on the tray.
What are sieve trays in DCs?
Sieve trays are simply metal plates with holes in them. Vapour passes straight upward through the liquid on the plate.
The arrangement, number and size of the holes are design parameters.
What are valve trays in DCs?
Perforated sheet metal decks on which round, liftable valves are mounted.
The vapour flows through valves which are installed parallel to the outlet weir.
Valve trays combine high capacity and excellent efficiency with a wide operating range.
In valve trays, perforations are covered by liftable caps. Vapour flows lifts the caps, thus self creating a flow area for the passage of vapour.
The lifting cap directs the vapour to flow horizontally into the liquid, thus providing better mixing than is possible in sieve trays.
- Excellent liquid/ vapour contacting.
- Higher capacity.
- Higher flexibility than sieve trays.
- Can handle higher loadings.
- Low-pressure drop than bubble cap.