Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture: 1 Distillation is defined as: A process in which a liquid or vapor mixture of two or more substances is separated into its component fractions of desired purity, by the application and removal of heat. Distillation is based on the fact that the vapor of a boiling mixture will be richer in the components that have lower boiling points. Therefore, when this vapor is cooled and condensed, the condensate will contain more volatile components. At the same time, the original mixture will contain more of the less volatile material. Distillation columns are designed to achieve this separation efficiently. Although many people have a fair idea what “distillation” means, the important aspects that seem to be missed from the manufacturing point of view are that: Distillation is the most common separation technique It consumes enormous amounts of energy, both in terms of cooling and heating requirements It can contribute to more than 50% of plant operating costs The best way to reduce operating costs of existing units, is to improve their efficiency and operation via process optimization and control. To achieve this improvement, a thorough understanding of distillation principles and how distillation systems are designed is essential. The purpose of this set of notes is to expose you to the terminology used in distillation practice and to give a very basic introduction to: Types of columns Basic distillation equipment and operation Column internals Reboilers Distillation principles Vapor liquid equilibrium Distillation column design and Factors that affect distillation column operation Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture: 2,3 TYPES OF DISTILLATION COLUMNS There are many types of distillation columns, each designed to perform specific types of separations, and each design differs in terms of complexity. Batch and Continuous Columns One way of classifying distillation column type is to look at how they are operated. Thus we have: batch and continuous columns. Batch Columns In batch operation, the feed to the column is introduced batch-wise. That is, the column is charged with a 'batch' and then the distillation process is carried out. Whe the desired task is achieved, a next batch of feed is introduced. Continuous Columns In contrast, continuous columns process a continuous feed stream. No interruptions occur unless there is a problem with the column or surrounding process units. They are capable of handling high throughputs and are the most common of the two types. We shall concentrate only on this class of columns. Types of Continuous Columns Continuous columns can be further classified according to: the nature of the feed that they are processing, binary column - feed contains only two components multi-component column - feed contains more than two components the number of product streams they have multi-product column - column has more than two product streams where the extra feed exits when it is used to help with the separation, extractive distillation - where the extra feed appears in the bottom product stream azeotropic distillation - where the extra feed appears at the top product stream The type of column internals Tray column - where trays of various designs are used to hold up the liquid to provide better contact between vapor and liquid, hence better separation Packed column - where instead of trays, 'packings' are used to enhance contact between vapor and liquid Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture: 4 BASIC DISTILLATION EQUIPMENT AND OPERATION Main Components of Distillation Columns Distillation columns are made up of several components, each of which is used either to transfer heat energy or enhance material transfer. A typical distillation contains several major components: Vertical shell where the separation of liquid components is carried out Column internals such as trays/plates and/or packings which are used to enhance component separations Reboiler to provide the necessary vaporization for the distillation process Condenser to cool and condense the vapor leaving the top of the column Reflux drum to hold the condensed vapor from the top of the column so that liquid (reflux) can be recycled back to the column The vertical shell houses the column internals and together with the condenser and reboiler, constitute a distillation column. A schematic of a typical distillation unit with a single feed and two product streams is shown below: Basic Operation and Terminology The liquid mixture that is to be processed is known as the feed and this is introduced usually somewhere near the middle of the column to a tray known as the feed tray. The feed tray divides the Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts column into a top (enriching or rectification) section and a bottom (stripping) section. The feed flows down the column where it is collected at the bottom in the reboiler. Heat is supplied to the reboiler to generate vapor. The source of heat input can be any suitable fluid, although in most chemical plants this is normally steam. In refineries, the heating source may be the output streams of other columns. The vapor raised in the reboiler is re-introduced into the unit at the bottom of the column. The liquid removed from the reboiler is known as the bottoms product or simply, bottoms. The vapor moves up the column, and as it exits the top of the unit, it is cooled by a condenser. The condensed liquid is stored in a holding vessel known as the reflux drum. Some of this liquid is recycled back to the top of the column and this is called the reflux. The condensed liquid that is removed from the system is known as the distillate or top product. Thus, there are internal flows of vapor and liquid within the column as well as external flows of feeds and product streams, into and out of the column. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture: 5,6 DISTILLATION PRINCIPLES Separation of components from a liquid mixture via distillation depends on the differences in boiling points of the individual components. Also, depending on the concentrations of the components present, the liquid mixture will have different boiling point characteristics. Therefore, distillation processes depends on the vapour pressure characteristics of liquid mixtures. Vapor Pressure and Boiling The vapour pressure of a liquid at a particular temperature is the equilibrium pressure exerted by molecules leaving and entering the liquid surface. Here are some important points regarding vapor pressure: Energy input raises vapor pressure Vapor pressure is related to boiling Liquid is said to ‘boil’ when its vapor pressure equals the surrounding pressure The ease with which a liquid boils depends on its volatility Liquids with high vapor pressures (volatile liquids) will boil at lower temperatures the vapor pressure and hence the boiling point of a liquid mixture depends on the relative amounts of the components in the mixture distillation occurs because of the differences in the volatility of the components in the liquid mixture The Boiling Point Diagram The boiling point diagram shows how the equilibrium compositions of the components in a liquid mixture vary with temperature at a fixed pressure. Consider an example of a liquid mixture containing 2 components (A and B) - a binary mixture. This has the following boiling point diagram. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts The boiling point of A is that at which the mole fraction of A is 1. The boiling point of B is that at which the mole fraction of A is 0. In this example, A is the more volatile component and therefore has a lower boiling point than B. The upper curve in the diagram is called the dew-point curve while the lower one is called the bubble-point curve. The dew-point is the temperature at which the saturated vapour starts to condense. The bubble-point is the temperature at which the liquid starts to boil. The region above the dew-point curve shows the equilibrium composition of the superheated vapor while the region below the bubble-point curve shows the equilibrium composition of the subcooled liquid. For example, when a subcooled liquid with mole fraction of A=0.4 (point A) is heated, its concentration remains constant until it reaches the bubble-point (point B), when it starts to boil. The vapors evolved during the boiling has the equilibrium composition given by point C, approximately 0.8 mole fraction A. This is approximately 50% richer in A than the original liquid. This difference between liquid and vapor compositions is the basis for distillation operations. Relative Volatility Relative volatility is a measure of the differences in volatility between 2 components, and hence their boiling points. It indicates how easy or difficult a particular separation will be. The relative volatility of component ‘i’ with respect to component ‘j’ is defined as yi = mole fraction of component ‘i’ in the vapour , xi = mole fraction of component ‘i’ in the liquid.Thus if the relative volatility between 2 components is very close to one, it is an indication that they have very similar vapour pressure characteristics. This means that they have very similar boiling points and therefore, it will be difficult to separate the two components via distillation. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture: 7,8 VAPOUR LIQUID EQUILIBRIA Distillation columns are designed based on the boiling point properties of the components in the mixtures being separated. Thus the sizes, particularly the height, of distillation columns are determined by the vapour liquid equilibrium (VLE) data for the mixtures. Lecture : 9,10 DISTILLATION COLUMN DESIGN As mentioned, distillation columns are designed using VLE data for the mixtures to be separated. The vapour-liquid equilibrium characteristics (indicated by the shape of the equilibrium curve) of the mixture will determine the number of stages, and hence the number of trays, required for the separation. This is illustrated clearly by applying the McCabe-Thiele method to design a binary column. McCABE-THIELE DESIGN METHOD The McCabe-Thiele approach is a graphical one, and uses the VLE plot to determine the theoretical number of stages required to effect the separation of a binary mixture. It assumes constant molar overflow and this implies that: molal heats of vaporisation of the components are roughly the same heat effects (heats of solution, heat losses to and from column, etc.) are negligible for every mole of vapour condensed, 1 mole of liquid is vaporised The design procedure is simple. Given the VLE diagram of the binary mixture, operating lines are drawn first. Operating lines define the mass balance relationships between the liquid and vapour phases in the column. There is one operating line for the bottom (stripping) section of the column, and on for the top (rectification or enriching) section of the column. Use of the constant molar overflow assumption also ensures the the operating lines are straight lines. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Operating Line for the Rectification Section The operating line for the rectification section is constructed as follows. First the desired top product composition is located on the VLE diagram, and a vertical line produced until it intersects the diagonal line that splits the VLE plot in half. A line with slope R/(R+1) is then drawn from this instersection point as shown in the diagram below. R is the ratio of reflux flow (L) to distillate flow (D) and is called the reflux ratio and is a measure of how much of the material going up the top of the column is returned back to the column as reflux. Operating Line for the Stripping Section The operating line for the stripping section is constructed in a similar manner. However, the starting point is the desired bottom product composition. A vertical line is drawn from this point to the diagonal line, and a line of slope Ls/Vs is drawn as illustrated in the diagram below. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Ls is the liquid rate down the stripping section of the column, while Vs is the vapour rate up the stripping section of the column. Thus the slope of the operating line for the stripping section is a ratio between the liquid and vapour flows in that part of the column. Lecture : 11,12 Equilibrium and Operating Lines The McCabe-Thiele method assumes that the liquid on a tray and the vapour above it are in equilibrium. How this is related to the VLE plot and the operating lines is depicted graphically in the diagram on the right. A magnified section of the operating line for the stripping section is shown in relation to the corresponding n'th stage in the column. L's are the liquid flows while V's are the vapour flows. x and y denote liquid and vapour compositions and the subscripts denote the origin of the flows or compositions. That is 'n-1' will mean from the stage below stage 'n' while 'n+1' will mean from the stage above stage 'n'. The liquid in stage 'n' and the vapour above it are in equilibrium, therefore, xn and yn lie on the equilibrium line. Since the vapour is carried to the tray above without changing composition, this is depicted as a horizontal line on the VLE plot. Its intersection with the operating line will give the composition of the liquid on tray 'n+1' as the operating line defines the material balance on the trays. The composition of the vapour above the 'n+1' tray is obtained from the intersection of the vertical line from this point to the equilibrium line. Number of Stages and Trays Doing the graphical construction repeatedly will give rise to a number of 'corner' sections, and each section will be equivalent to a stage of the distillation. This is the basis of sizing distillation columns using the McCabe-Thiele graphical design methodology as shown in the following example. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Given the operating lines for both stripping and rectification sections, the graphical construction described above was applied. This particular example shows that 7 theoretical stages are required to achieve the desired separation. The required number of trays (as opposed to stages) is one less than the number of stages since the graphical construction includes the contribution of the reboiler in carrying out the separation. The actual number of trays required is given by the formula: (number of theoretical trays)/(tray efficiency) Typical values for tray efficiency ranges from 0.5 to 0.7 and depends on a number of factors, such as the type of trays being used, and internal liquid and vapour flow conditions. Sometimes, additional trays are added (up to 10%) to accomodate the possibility that the column may be underdesigned. Lecture : 13,14 The Feed Line (q-line) The diagram above also shows that the binary feed should be introduced at the 4'th stage. However, if the feed composition is such that it does not coincide with the intersection of the operating lines, this means that the feed is not a saturated liquid. The condition of the feed can be deduced by the slope of the feed line or q-line. The q-line is that drawn between the intersection of the operating lines, and where the feed composition lies on the diagonal line. Depending on the state of the feed, the feed lines will have different slopes. For example, q = 0 (saturated vapour) q = 1 (saturated liquid) 0 < q < 1 (mix of liquid and vapour) q > 1 (subcooled liquid) q < 0 (superheated vapour) Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts The q-lines for the various feed conditions are shown in the diagram on the left. Using Operating Lines and the Feed Line in McCabe-Thiele Design If we have information about the condition of the feed mixture, then we can construct the q-line and use it in the McCabe-Thiele design. However, excluding the equilibrium line, only two other pairs of lines can be used in the McCabe-Thiele procedure. These are: feed-line and rectification section operating line feed-line and stripping section operating line stripping and rectification operating lines This is because these pairs of lines determine the third. OVERALL COLUMN DESIGN Determining the number of stages required for the desired degree of separation and the location of the feed tray is merely the first steps in producing an overall distillation column design. Other things that need to be considered are tray spacings; column diameter; internal configurations; heating and cooling duties. All of these can lead to conflicting design parameters. Thus, distillation column design is often an iterative procedure. If the conflicts are not resolved at the design stage, then the column will not perform well in practice. The next set of notes will discuss the factors that can affect distillation column performance. Lecture : 15 EFFECTS OF THE NUMBER OF TRAYS OR STAGES Here we will expand on the design of columns by looking briefly at the effects of the number of trays, and the position of the feed tray, and on the performances of distillation columns. Effects of the Number of Trays It can be deduced from the previous section on distillation column design that the number of trays will influence the degree of separation. This is illustrated by the following example. Consider as a base case, a 10 stage column. The feed is a binary mixture that has a composition of 0.5 mole fraction in terms of the more volatile component, and introduced at stage 5. The steadystate terminal compositions of about 0.65 at the top (stage 1) and 0.1 at the bottom (stage 10) are shown below: Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Composition Profile: 10 stages, feed at stage 5 Suppose we decrease the number of stages to 8, and keep the feed at the middle stage, i.e. stage 4. The resulting composition profile is: Composition Profile: 8 stages, feed at stage 4 We can see that the top composition has decreased while the bottom composition has increased. That is, the separation is poorer. Now, if we increase the number of stages to 12, and again introduce the feed at mid-column, i.e. stage 6, the composition profile we get is: Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Composition Profile: 12 stages, feed at stage 6 Again, the composition has changed. This time the distillate is much richer in the more volatile component, while the bottoms has less, indicating better separation. Thus, increasing the number of stages will improve separation. Effect of Feed Tray Position Here we look at how the position of the feed tray affects separation efficiency. Suppose we have a 20 stage column, again separating a binary mixture that has a composition of 0.5 mole fraction in terms of the more volatile component. The terminal compositions obtained when the feed is introduced at stages 5, 10 and 15 (at fixed reflux and reboil rates) are shown in the following plots. Composition profile: 20 stages, feed at stage 5 Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Composition profile: 20 stages, feed at stage 10 Composition profile: 20 stages, feed at stage 15 As the feed stage is moved lower down the column, the top composition becomes less rich in the more volatile component while the bottoms contains more of the more volatile component. However, the changes in top composition is not as marked as the bottoms composition. The preceding examples illustrate what can happen if the position of the feed tray is shifted for this particular system. They should not be used to generalise to other distillation systems, as the effects are not straightforward. Lecture : 16 FACTORS AFFECTING DISTILLATION COLUMN OPERATION The performance of a distillation column is determined by many factors, for example: feed conditions o state of feed o composition of feed o trace elements that can severely affect the VLE of liquid mixtures internal liquid and fluid flow conditions state of trays (packings) weather conditions Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Some of these will be discussed below to give an idea of the complexity of the distillation process. Feed Conditions The state of the feed mixture and feed composition affects the operating lines and hence the number of stages required for separation. It also affects the location of feed tray. During operation, if the deviations from design specifications are excessive, then the column may no longer be able handle the separation task. To overcome the problems associated with the feed, some column are designed to have multiple feed points when the feed is expected to containing varying amounts of components. Reflux Conditions As the reflux ratio is increased, the gradient of operating line for the rectification section moves towards a maximum value of 1. Physically, what this means is that more and more liquid that is rich in the more volatile components are being recycled back into the column. Separation then becomes better and thus less trays are needed to achieve the same degree of separation. Minimum trays are required under total reflux conditions, i.e. there is no withdrawal of distillate. On the other hand, as reflux is decreased, the operating line for the rectification section moves towards the equilibrium line. The ‘pinch’ between operating and equilibrium lines becomes more pronounced and more and more trays are required. This is easy to verify using the McCabe-Thiele method. The limiting condition occurs at minimum reflux ration, when an infinite number of trays will be required to effect separation. Most columns are designed to operate between 1.2 to 1.5 times the minimum reflux ratio because this is approximately the region of minimum operating costs (more reflux means higher reboiler duty). Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture:17 Vapour Flow Conditions Adverse vapor flow conditions can cause foaming entrainment weeping/dumping flooding Foaming Foaming refers to the expansion of liquid due to passage of vapour or gas. Although it provides high interfacial liquid-vapour contact, excessive foaming often leads to liquid buildup on trays. In some cases, foaming may be so bad that the foam mixes with liquid on the tray above. Whether foaming will occur depends primarily on physical properties of the liquid mixtures, but is sometimes due to tray designs and condition. Whatever the cause, separation efficiency is always reduced. Entrainment Entrainment refers to the liquid carried by vapour up to the tray above and is again caused by high vapour flow rates. It is detrimental because tray efficiency is reduced: lower volatile material is carried to a plate holding liquid of higher volatility. It could also contaminate high purity distillate. Excessive entrainment can lead to flooding. Weeping/Dumping This phenomenon is caused by low vapour flow. The pressure exerted by the vapour is insufficient to hold up the liquid on the tray. Therefore, liquid starts to leak through perforations. Excessive weeping will lead to dumping. That is the liquid on all trays will crash (dump) through to the base of the column (via a domino effect) and the column will have to be re-started. Weeping is indicated by a sharp pressure drop in the column and reduced separation efficiency. Flooding Flooding is brought about by excessive vapour flow, causing liquid to be entrained in the vapour up the column. The increased pressure from excessive vapour also backs up the liquid in the downcomer, causing an increase in liquid holdup on the plate above. Depending on the degree of flooding, the maximum capacity of the column may be severely reduced. Flooding is detected by sharp increases in column differential pressure and significant decrease in separation efficiency. Column Diameter Most of the above factors that affect column operation is due to vapour flow conditions: either excessive or too low. Vapour flow velocity is dependent on column diameter. Weeping determines the minimum vapour flow required while flooding determines the maximum vapour flow allowed, hence column capacity. Thus, if the column diameter is not sized properly, the column will not perform well. Not only will operational problems occur, the desired separation duties may not be achieved. State of Trays and Packings Remember that the actual number of trays required for a particular separation duty is determined by the efficiency of the plate, and the packings if packings are used. Thus, any factors that cause a Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts decrease in tray efficiency will also change the performance of the column. Tray efficiencies are affected by fouling, wear and tear and corrosion, and the rates at which these occur depends on the properties of the liquids being processed. Thus appropriate materials should be specified for tray construction. Weather Conditions Most distillation columns are open to the atmosphere. Although many of the columns are insulated, changing weather conditions can still affect column operation. Thus the reboiler must be appropriately sized to ensure that enough vapour can be generated during cold and windy spells and that it can be turned down sufficiently during hot seasons. The same applies to condensors. These are some of the more important factors that can cause poor distillation column performance. Other factors include changing operating conditions and throughputs, brought about by changes in upstream conditions and changes in the demand for the products. All these factors, including the associated control system, should be considered at the design stages because once a column is built and installed, nothing much can be done to rectify the situation without incurring significant costs. The control of distillation columns is a field in its own right, but that's another story. Lecture: 18 Steam distillation Steam distillation is a special type of distillation (a separation process) for temperature sensitive materials like natural aromatic compounds. Many organic compounds tend to decompose at high sustained temperatures. Separation by normal distillation would then not be an option, so water or steam is introduced into the distillation apparatus. By adding water or steam, the boiling points of the compounds are depressed, allowing them to evaporate at lower temperatures, preferably below the temperatures at which the deterioration of the material becomes appreciable. If the substances to be distilled are very sensitive to heat, steam distillation can also be combined with vacuum distillation. After distillation the vapors are condensed as usual, usually yielding a two-phase system of water and the organic compounds, allowing for simple separation. Principle When a mixture of two practically immiscible liquids is heated while being agitated to expose the surfaces of both the liquids to the vapor phase, each constituent independently exerts its own vapor pressure as a function of temperature as if the other constituent were not present. Consequently, the vapor pressure of the whole system increases. Boiling begins when the sum of the partial pressures of the two immiscible liquids just exceeds the atmospheric pressure (approximately 101 kPa at sea level). In this way, many organic compounds insoluble in water can be purified at a temperature well below the point at which decomposition occurs. For example, the boiling point of bromobenzene is 156 °C and the boiling point of water is 100 °C, but a mixture of the two boils at 95 °C. Thus, bromobenzene can be easily distilled at a temperature 61 C° below its normal boiling point. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Applications Steam distillation is employed in the manufacture of essential oils, for instance, perfumes. In this method, steam is passed through the plant material containing the desired oils. It is also employed in the synthetic procedures of complex organic compounds. Eucalyptus oil and orange oil are obtained by this method on the industrial scale. Steam distillation is also widely used in petroleum refineries and petrochemical plants where it is commonly referred to as "steam stripping. Other industrial uses of steam distillation include the production of consumer food products such as sprayable or aerosolized condiments such as sprayable mayonnaise. Lecture: 19 Extractive distillation is defined as distillation in the presence of a miscible, high boiling, relatively non-volatile component, the solvent, that forms no azeotrope with the other components in the mixture. The method is used for mixtures having a low value of relative volatility, nearing unity. Such mixtures cannot be separated by simple distillation, because the volatility of the two components in the mixture is nearly the same, causing them to evaporate at nearly the same temperature at a similar rate, making normal distillation impractical. The method of extractive distillation uses a separation solvent, which is generally nonvolatile, has a high boiling point and is miscible with the mixture, but doesn't form an azeotropic mixture. The solvent interacts differently with the components of the mixture thereby causing their relative volatilities to change. This enables the new three-part mixture to be separated by normal distillation. The original component with the greatest volatility separates out as the top product. The bottom product consists of a mixture of the solvent and the other component, which can again be separated easily because the solvent doesn't form an azeotrope with it. The bottom product can be separated by any of the methods available. It is important to select a suitable separation solvent for this type of distillation. The solvent must alter the relative volatility by a wide enough margin for a successful result. The quantity, cost and availability of the solvent should be considered. The solvent should be easily separable from the bottom product, and should not react chemically with the components or the mixture, or cause corrosion in the equipment. A classic example to be cited here is the separation of an azeotropic mixture of benzene and cyclohexane, where aniline is one suitable solvent. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture:20 Azeotropic distillation In chemistry, azeotropic distillation is any of a range of techniques used to break an azeotrope in distillation. In chemical engineering, azeotropic distillation usually refers to the specific technique of adding another component to generate a new, lower-boiling azeotrope that is heterogeneous (e.g. producing two, immiscible liquid phases), such as the example below with the addition of benzene to water and ethanol. In actual fact, this practice of adding an entrainer which forms a separate phase is a specific sub-set of (industrial) azeotropic distillation methods, or combination thereof. In some senses, adding an entrainer is similar to extractive distillation. Example - distillation of ethanol/water A common distillation with an azeotrope is the distillation of ethanol and water. Using normal distillation techniques, ethanol can only be purified to approximately 96% strength of some commercially available grain alcohols). Once at a 96.4% ethanol/water concentration, the vapor from the boiling mixture is also 96.4%, therefore further distillation is ineffective. Some uses require a higher percentage of alcohol, for example when used as a gasoline additive. The 96.4% azeotrope needs to be "broken" in order to refine further. Material separation agent The addition of a Material Separation Agent, such as benzene, to the Ethanol/Water Mixture, changes the molecular interactions and eliminates the azeotrope (i.e. "breaking the azeotrope") . Unfortunately, another separation is needed to remove the benzene. It is simpler to remove the benzene from water via dehydration than to separate Ethyl past 96.4% via distillation. Lecture:21,22 Importance and application of Humidification and Dehumidification operation, Vapour liquid equilibria Vapor-liquid equilibrium (sometimes abbreviated as VLE) is a condition where a liquid and its vapor (gas phase) are in equilibrium with each other, a condition or state where the rate of evaporation (liquid changing to vapor) equals the rate of condensation (vapor changing to liquid) on a molecular level such that there is no net (overall) vapor-liquid interconversion. Although in theory equilibrium takes forever to reach, such an equilibrium is practically reached in a relatively closed location if a liquid and its vapor are allowed to stand in contact with each other long enough with no interference or only gradual interference from the outside. The concentration of a vapor in contact with its liquid, especially at equilibrium, is often in terms of vapor pressure, which could be a partial pressure (part of the total gas pressure) if any other gas(es) are present with the vapor. The equilibrium vapor pressure of a liquid is usually very dependent on temperature. At vapor-liquid equilibrium, a liquid with individual components (compounds) in Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts certain concentrations will have an equilibrium vapor in which the concentrations or partial pressures of the vapor components will have certain set values depending on all of the liquid component concentrations and the temperature. This fact is true in reverse also; if a vapor with components at certain concentrations or partial pressures is in vapor-liquid equilibrium with its liquid, then the component concentrations in the liquid will be set dependent on the vapor concentrations, again also depending on the temperature. The equilibrium concentration of each component in the liquid phase is often different from its concentration (or vapor pressure) in the vapor phase, but there is a correlation. Such VLE concentration data is often known or can be determined experimentally for vapor-liquid mixtures with various components. In certain cases such VLE data can be determined or approximated with the help of certain theories such as Raoult's Law, Dalton's Law, and/or Henry's Law. Such VLE information is useful in designing columns for distillation, especially fractional distillation, which is a particular specialty of chemical engineers. Distillation is a process used to separate or partially separate components in a mixture by boiling (vaporization) followed by condensation. Distillation takes advantage of differences in concentrations of components in the liquid and vapor phases. In mixtures containing two or more components where their concentrations are compared in the vapor and liquid phases, concentrations of each component are often expressed as mole fractions. A mole fraction is number of moles of a given component in an amount of mixture in a phase (either vapor or liquid phase) divided by the total number of moles of all components in that amount of mixture in that phase. Binary mixtures are those having two components. Three-component mixtures could be called ternary mixtures. There can be VLE data for mixtures with even more components, but such data becomes copious and is often hard to show graphically. VLE data is often shown at a certain overall pressure, such as 1 atm or whatever pressure a process of interest is conducted at. When at a certain temperature, the total of partial pressures of all the components becomes equal to the overall pressure of the system such that vapors generated from the liquid displace any air or other gas which maintained the overall pressure, the mixture is said to boil and the corresponding temperature is the boiling point (This assumes excess pressure is relieved by letting out gases to maintain a desired total pressure). A boiling point at an overall pressure of 1 atm is called the normal boiling point. Lecture:23 Vapour gas mixtures, air-water system Psychrometrics or psychrometry are terms used to describe the field of engineering concerned with the determination of physical and thermodynamic properties of gas-vapor mixtures. Although the principles of psychrometry apply to any physical system consisting of gas-vapor mixtures, the most common system of interest is the mixture of water vapor and air, because of its application in heating, ventilating, and air-conditioning and meteorology. In human terms, our comfort is in large part a consequence of, not just the temperature of the surrounding air, but (because we cool ourselves via perspiration) the extent to which that air is saturated with water vapor. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture:24,25 Adiabatic saturation curves, concept of wet bulb and dry bulb temp, Lewis relation Wet-bulb temperature The thermodynamic wet-bulb temperature is a thermodynamic property of a mixture of air and water vapor. The value indicated by a simple wet-bulb thermometer often provides an adequate approximation of the thermodynamic wet-bulb temperature. A wet-bulb thermometer is an instrument which may be used to infer the amount of moisture in the air. If a moist cloth wick is placed over a thermometer bulb the evaporation of moisture from the wick will lower the thermometer reading (temperature). If the air surrounding a wet-bulb thermometer is dry, evaporation from the moist wick will be more rapid than if the air is moist. When the air is saturated no water will evaporate from the wick and the temperature of the wet-bulb thermometer will be the same as the reading on the dry-bulb thermometer. However, if the air is not saturated water will evaporate from the wick causing the temperature reading to be lower. The accuracy of a simple wet-bulb thermometer depends on how fast air passes over the bulb and how well the thermometer is shielded from the radiant temperature of its surroundings. Speeds up to 5,000 ft/min (60 mph) are best but dangerous to move a thermometer at that speed. Errors up to 15% can occur if the air movement is too slow or if there is too much radiant heat present (sunlight, for example). A wet bulb temperature taken with air moving at about 1-2 m/s is referred to as a screen temperature, whereas a temperature taken with air moving about 3.5 m/s or more is referred to as sling temperature. A psychrometer is a device that includes both a dry-bulb and a wet-bulb thermometer. A sling psychrometer requires manual operation to create the airflow over the bulbs, but a powered psychrometer includes a fan for this function. Lecture: 26, 27 Water cooling with air, Dehumidification of air-water vapor, Water cooling towers Cooling towers are heat removal devices used to transfer process waste heat to the atmosphere. Cooling towers may either use the evaporation of water to remove process heat and cool the working fluid to near the wet-bulb air temperature or rely solely on air to cool the working fluid to near the dry-bulb air temperature. Common applications include cooling the circulating water used in oil refineries, chemical plants, power stations and building cooling. The towers vary in size from small roof-top units to very large hyperboloid structures (as in Image 1) that can be up to 200 metres tall and 100 metres in diameter, or rectangular structures (as in Image 2) that can be over 40 metres tall and 80 metres long. Smaller towers are normally factory-built, while larger ones are constructed on site. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture:28 Importance and application of drying operation In the drying of solids, the desirable end product is in solid form. Thus, even though the solid is initially in solution, the problem of producing this solid in dry form is classed under this heading. Final moisture contents of dry solids are usually less than 10%, and in many instances, less than 1%. The mechanism of the drying of solids is reasonably simple in concept. When drying is done with heated gases, in the most general case, a wet solid begins to dry as though the water were present alone without any solid, and hence evaporation proceeds as it would from a so-called free water surface, that is, as water standing in an open pan. The period or stage of drying during this initial phase, therefore, is commonly referred to as the constant-rate period because evaporation occurs at a constant rate and is independent of the solid present. The presence of any dissolved salts will cause the evaporation rate to be less than that of pure water. Nevertheless, this lower rate can still be constant during the first stages of drying. A fundamental theory of drying depends on knowledge of the forces governing the flow of liquids inside solids. Attempts have been made to develop a general theory of drying on the basis that liquids move inside solids by a diffusional process. However, this is not true in all cases. In fact, only in a limited number of types of solids does true diffusion of liquids occur. In most cases, the internal flow mechanism results from a combination of forces which may include capillarity, internal pressure gradients caused by shrinkage, a vapor-liquid flow sequence caused by temperature gradients, diffusion, and osmosis. Because of the complexities of the internal flow mechanism, it has not been possible to evolve a generalized theory of drying applicable to all materials. Only in the drying of certain bulk objects such as wood, ceramics, and soap has a significant understanding of the internal mechanism been gained which permits control of product quality. Most investigations of drying have been made from the so-called external viewpoint, wherein the effects of the external drying medium such as air velocity, humidity, temperature, and wet material shape and subdivision are studied with respect to their influence on the drying rate. The results of such investigations are usually presented as drying rate curves, and the natures of these curves are used to interpret the drying mechanism. When materials are dried in contact with hot surfaces, termed indirect drying, the air humidity and air velocity may no longer be significant factors controlling the rate. The “goodness” of the contact between the wet material and the heated surfaces, plus the surface temperature, will be controlling. This may involve agitation of the wet material in some cases. Drying equipment for solids may be conveniently grouped into three classes on the basis of the method of transferring heat for evaporation. The first class is termed direct dryers; the second class, indirect dryers; and the third class, radiant heat dryers. Batch dryers are restricted to low capacities and long drying times. Most industrial drying operations are performed in continuous dryers. The large numbers of different types of dryers reflect the efforts to handle the larger numbers of wet materials in ways which result in the most efficient contacting with the drying medium. Thus, filter cakes, pastes, and similar materials, when preformed in small pieces, can be dried many times faster Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts in continuous through-circulation dryers than in batch tray dryers. Similarly, materials which are sprayed to form small drops, as in spray drying, dry much faster than in through-circulation drying. Lecture:29,30 Equilibrium relationship, definition of types of moisture content, Batch drying, rate of drying curve, time of drying under constant condition Terms related to level/nature of moisture in drying materials Bone Dry Material: Any material, which has been dried at sufficiently high temperature for a prolonged time by well-established methods till it is deviled of all traces of moisture, is called ‘Bone Dry Material’. Moisture Content: The loss of moisture under standard prescribed drying condition till bonedry stale is reached is termed as the ‘moisture content’ of the material and is usually expressed as a fraction of moisture per kg of wet material (wet basis) or expressed as fraction of moisture per kg of bone-dry material (bone dry basis). Moisture refers to water, although other liquids may follow the same testing techniques. Moisture Gradient: In the bulk of material like in a thick felt or in the tray dryer, moisture may not be uniformly distributed in all portions of the solid at a given moment during the process of drying. The actual distribution/content of the moisture in the solid is termed as moisture gradient. Bound Moisture: Liquid bound in the solid in its capillaries, by solution in its cells/walls, by solution and by chemical/physical adsorption. It is to be noted that this bound moisture exerts less vapour pressure (i.e. the drying force for evaporation) than that of pure liquid in free condition at the same temperature. Equilibrium moisture content: It is the level of bound moisture in a given material which is attained on stabilization under specified conditions of temperature and humidity either by loosing excess moisture by drying or by absorbing moisture from surroundings. Free moisture: In a hygroscopic material, it is the moisture in excess of the equilibrium moisture content at existing humidity and temperature and includes unbound as well as bound moisture which can be removed. Critical moisture: Is the level of moisture content of a material when the rate of drying changes from a constant level to a gradually reducing level. The Drying Curve For each and every product, there is a representative curve that describes the drying characteristics for that product at specific temperature, velocity and pressure conditions. This curve is referred to as the drying curve for a specific product. Figure shows a typical drying curve. Variations in the curve will occur principally in rate relative to carrier velocity and temperature. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Drying occurs in three different periods, or phases, which can be clearly defined. The first phase, or initial period, is where sensible heat is transferred to the product and the contained moisture. This is the heating up of the product from the inlet condition to the process condition, which enables the subsequent processes to take place. The rate of evaporation increases dramatically during this period with mostly free moisture being removed. In some instances, pre-processing can reduce or eliminate this phase. For example, if the feed material is coming from a reactor or if the feed is preheated by a source of waste energy, the inlet condition of the material will already be at a raised temperature. The second phase, or constant rate period, is when the free moisture persists on the surfaces and the rate of evaporation alters very little as the moisture content reduces. During this period, drying rates are high and higher inlet air temperatures than in subsequent drying stages can be used without detrimental effect to the product. There is a gradual and relatively small increase in the product temperature during this period. Interestingly, a common occurrence is that the time scale of the constant rate period may determine and affect the rate of drying in the next phase. The third phase, or falling rate period, is the phase during which migration of moisture from the inner interstices of each particle to the outer surface becomes the limiting factor that reduces the drying rate. Terms related to drying process Periods of Drying: As drying proceeds, moisture content and rate of drying change with respect to time as follows. Initially the moisture evaporates from the saturated surface of a solid. In this phase, the rate of drying per unit drying area is CONSTANT. At the end of this, there is a decrease in the area of saturated surface and a transition level called CRITICAL MOISTURE CONTENT is reached. Finally, the water diffuses from the interior and then evaporates. In this phase called FALLING RATE PERIOD of drying, the instantaneous rate of drying continuously decreases, in falling rate period. During the process of drying after the superficial moisture is evaporated there comes a state when outside air starts getting sucked in to the pores by capillary action. Later as drying proceeds further, capillary action also cannot occur because a continuous film of liquid no longer exists between and around the discrete particles. The DRYING CURVE is a graphical Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts representation of moisture content of the product vs. time during the process of drying and it identifies the constant, critical and falling rate regimes of drying. The DRYING RATE is measured as moisture lost in unit time and DRYING TIME is the time taken for reducing the moisture in the product from higher to lower level. RESIDENCE TIME is the time taken by the product to travel from the feed end to the discharge end. Lecture:31 Fluidised Bed Dryers Fluid bed dryers are found throughout all industries, from heavy mining through food, fine chemicals and pharmaceuticals. They provide an effective method of drying relatively free flowing particles with a reasonably narrow particle size distribution. In general, fluid bed dryers operate on a through-the-bed flow pattern with the gas passing through the product perpendicular to the direction of travel. The dry product is discharged from the same section. With a certain velocity of gas at the base of a bed of particles, the bed expands and particles move within the bed. High rate of heat transfer is achieved with almost instant evaporation. Batch/continuous flow of materials is possible. The hot gas stream is introduced at the base of the bed through a dispersion/distribution plate. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture:32 Rotary dryer, Spray dryer, fluidized bed dryer etc The rotary dryer is a type of industrial dryer employed to reduce or minimize the liquid moisture content of the material it is handling by bringing it into direct contact with a heated gas. The dryer is made up of a large, rotating cylindrical tube, usually supported by concrete columns or steel beams. The dryer slopes slightly so that the discharge end is lower than the material feed end in order to convey the material through the dryer under gravity. Material to be dried enters the dryer, and as the dryer rotates, the material is lifted up by a series of internal fins lining the inner wall of the dryer. When the material gets high enough to roll back off the fins, it falls back down to the bottom of the dryer, passing through the hot gas stream as it falls. This gas stream can either be moving toward the discharge end from the feed end (known as co-current flow), or toward the feed end from the discharge end (known as counter-current flow). The gas stream can be made up of a mixture of air and combustion gases from a burner, in which case the dryer is called a direct heated dryer. Alternatively, the gas stream may consist of air or another (sometimes inert) gas that is preheated. When the gas stream is preheated by some means where burner combustion gases do not enter the dryer, the dryer known as an indirect-heated type. Often, indirect heated dryers are used when product contamination is a concern. Spray drying is a method of producing a dry powder from a liquid or slurry by rapidly drying with a hot gas. This is the preferred method of drying of many thermally-sensitive materials such as foods and pharmaceuticals. A consistent particle size distribution is a reason for spray drying some industrial products such as catalysts. Air is the heated drying media; however, if the liquid is a flammable solvent, such as ethanol, or the product is oxygen sensitive nitrogen is used. All spray dryers use some type of atomizer or spray nozzle to disperse the liquid or slurry into a controlled drop size spray. The most common of these are rotary nozzles and single-fluid pressure swirl nozzles. Alternatively, for some applications two-fluid or ultrasonic nozzle are used. Depending on the process needs drop sizes from 10 to 500 micron can be achieved with the appropriate choices. The most common applications are in the 100 to 200 micron diameter range. The hot drying gas can be passed as a co-current or counter-current flow to the atomiser direction. The co-current flow enables the particles to have a lower residence time within the system and the Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts particle separator (typically a cyclone device) operates more efficiently. The counter-current flow method enables a greater residence time of the particles in the chamber and usually is paired with a fluidised bed system. A spray dryer is a device used in spray drying. It takes a liquid stream and separates the solute or suspension as a solid and the solvent into a vapor. The solid is usually collected in a drum or cyclone. The liquid input stream is sprayed through a nozzle into a hot vapor stream and vaporised. Solids form as moisture quickly leaves the droplets. A nozzle is usually used to make the droplets as small as possible, maximising heat transfer and the rate of water vaporisation. Droplet sizes can range from 20 to 180 μm depending on the nozzle. Spray dryers can dry a product very quickly compared to other methods of drying. They also turn a solution, or slurry into a dried powder in a single step, which can be advantageous for profit maximization and process simplification. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture 33 In this lecture following topics would be covered Adsorption phenomena Types of Adsorption Nature of adsorbents Adsorption Equilibria Adsorption occurs whenever a solid surface is exposed to a gas or a liquid: it is defined as the enrichment of material or increase of density of the fluid in the vicinity of an interface Adsorbent Adsorbate (porous structure) Adsorbent (‘flat’ surface) Physical (Physisorption) - van der Waals interactions (result in attractive forces between adsorbent and adsorbate molecules) Chemical (Chemisorption) - Chemical bonds between adsorbate and adsorbent formed - Adsorbed molecules maintain their identity - Adsorbed molecules loose their identity - Multilayers -No activation energy - Always reversible • • Natural or synthetic Amorphous or microcrystalline structure - Monolayers - Often activation energy required - Can be irreversible Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts • • Very high specific surface area Examples: • Charcoal • Kaolin • Bentonite • Activated carbon • Silica gel • Activated alumina • Zeolite (molecular sieves), Lecture 34-35 In this lecture following topics would be covered Adsorption Equilibria Adsorption of vapor and gas mixtures, Dilute and concentrated liquid solutions In many respects the equilibrium adsorption characteristics of a gas or vapor on a solid resemble the equilibrium solubility of a gas in a liquid. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Fig: Equilibrium Adsorption of vapors on activated carbon Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Fig: Types of adsorption isotherms for vapors Fig: System Oxygen- Nitrogen on activated carbon Lecture 36-37 In this lecture following topics would be covered Single stage adsorption operation Multi stage operation Application of Freundlich equation Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts X Fig: Single stage adsorption operation The solute removed from the liquid equals to that picked by solid. For a multistage operation, a schematic flow sheet and operating diagram for a typical operation is shown below Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Fig: Two stage crosscurrent adsorption operation Following equation can be used to calculate the intermediate concentration Y1 Lecture 38-39 In this lecture following topics would be covered Numerical problem based on stage wise operation Unsteady state- Fixed bed absorbers, Thermal swing and Pressure swing absorbers Unsteady State-fixed Bed Adsorbers Consider a binary solution, either gas or liquid, containing a strongly adsorbed solute at concentration c0. The fluid is to be passed continuously down through a relatively deep bed of adsorbent initially free of adsorbate. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Fig: The Adsorption Wave Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Fig: The Heatless Adsorber Fig: Fixed bed Adsorber for vapors at high pressure Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture 40 In this lecture following topics would be covered Chromatography Rate of adsorption in a fixed bed Ion exchange and its application Chromotography Consider a solution containing two sources A and B which are differently adsorbed at equilibrium, A more strongly. A small quantity of this solution, insufficient to saturate all but a small quantity of the adsorbent Fig: Chromatographic separation of two solutes Rate of adsorption in fixed Bed The design of a fixed bed adsorber and prediction of the length of the adsorption cycle between revivifications require knowledge of the percentage approach to saturation at the breakpoint Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Fig: Idealized Breakthrough curve Lecture 41 In this lecture following topics would be covered Solubility curve Super-saturation, Methods of super-saturation, Mier’s super-saturation theory Crystallization is the (natural or artificial) process of formation of solid crystals precipitating from a solution, melt or more rarely deposited directly from a gas. Crystallization is also a chemical solid-liquid separation technique, in which mass transfer of a solute from the liquid solution to a pure solid crystalline phase occurs. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts The crystallization process consists of two major events, nucleation and crystal growth. Nucleation is the step where the solute molecules dispersed in the solvent start to gather into clusters, on the nanometer scale (elevating solute concentration in a small region), that becomes stable under the current operating conditions. These stable clusters constitute the nuclei. However when the clusters are not stable, they redissolve. Therefore, the clusters need to reach a critical size in order to become stable nuclei. Such critical size is dictated by the operating conditions (temperature, super saturation, etc.). It is at the stage of nucleation that the atoms arrange in a defined and periodic manner that defines the crystal structure — note that "crystal structure" is a special term that refers to the relative arrangement of the atoms, not the macroscopic properties of the crystal (size and shape), although those are a result of the internal crystal structure. The crystal growth is the subsequent growth of the nuclei that succeed in achieving the critical cluster size. Nucleation and growth continue to occur simultaneously while the supersaturation exists. Supersaturation is the driving force of the crystallization, hence the rate of nucleation and growth is driven by the existing supersaturation in the solution. Depending upon the conditions, either nucleation or growth may be predominant over the other, and as a result, crystals with different sizes and shapes are obtained (control of crystal size and shape constitutes one of the main challenges in industrial manufacturing, such as for pharmaceuticals). Once the supersaturation is exhausted, the solid-liquid system reaches equilibrium and the crystallization is complete, unless the operating conditions are modified from equilibrium so as to supersaturate the solution again. Many compounds have the ability to crystallize with different crystal structures, a phenomenon called polymorphism. Each polymorph is in fact a different thermodynamic solid state and crystal polymorphs of the same compound exhibit different physical properties, such as dissolution rate, shape (angles between facets and facet growth rates), melting point, etc. For this reason, polymorphism is of major importance in industrial manufacture of crystalline products. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Fig: Solubility Curve Lecture 42 In this lecture following topics would be covered Principles of Crystallization Enthalpy Balance of a crystallizer Product Purity. A sound, well-formed crystal itself is nearly pure, but it retains mother liquor when removed from the final magma (the two phase mixture of mother liquor and crystals of all sizes which occupies the crystallizer and is withdrawn as product), and if the crop contains crystalline aggregates, considerable amounts of mother liquor may be occluded within the solid mass. When retained mother liquor of low purity is dried on the product, contamination results, the extent of which depends on the amount and degree of impurity of the mother liquor retained by the crystals. In practice, much of the retained mother liquor is separated from the crystals by filtration or centrifuging, and the balance is removed by washing with fresh solvent. The effectiveness of these purification steps depends on the size and uniformity of the crystals. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Yields. In many industrial crystallization processes, the crystals and mother liquor are in contact long enough to reach equilibrium (equilibrium in crystallization processes is reached when the solution is saturated) and the mother liquor is saturated at the final temperature of the process. The yield of the process can then be calculated from the concentration of the original solution and the solubility at the final temperature. If appreciable evaporation occurs during the process, this must be known or estimated. When the rate of crystal growth is slow, considerable time is required to reach equilibrium. This is especially true when the solution is viscous or where the crystals collect in the bottom of the crystallizer so there is little crystal surface exposed to the supersaturated solution. In such situations, the final mother liquor, may retain appreciable supersaturation , and the actual yield will be less than that calculated from the solubility curve. If the crystals are anhydrous, calculation of the yield is simple, as the solid phase contains no solvent. When the crop contains water of crystallization (is water that occurs in crystals but is not covalently bonded to a host molecule or ion), account must be taken of the water accompanying the crystals, since this water is not available for retaining solute in solution. Solubility data are usually given either in parts by mass of anhydrous material per hundred parts by mass of total solvent or in mass fraction anhydrous solute. These data ignore water of crystallization. The key to calculations of yields of hydrated solutes is to express all masses and concentrations in terms of hydrated salt and free water. Since it is this latter quantity that remains in the liquid phase during the crystallization, concentrations or amounts based on free water can be subtracted to give a correct result. Energy Requirement. In heat balance calculations for crystallizers, the heat of crystallization is important. This is the latent heat evolved when solids form from a solution. Ordinarily, crystallization is exothermic, and the heat of crystallization varies with both temperature and concentration. The heat of crystallization is equal to the heat absorbed by crystals dissolving in a saturated solution, which may be found from the heat of solution in a very large amount of solvent and the heat of dilution of the solution from saturation to high dilution. Data on heats of solution and of dilution are available, and these, together with Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts data on the specific heats of the solutions and of the crystals, can be used to construct enthalpy-concentration charts which are useful in calculating enthalpy balances for crystallization processes. Nucleation. Nucleation is the initiation of a phase change in a small region, such as the formation of a solid crystal from a liquid solution. It is a consequence of rapid local fluctuations on a molecular scale in a homogeneous phase that is in a state of metastable equilibrium. It is the number of new particles formed per unit time per unit volume of magma or solids-free mother liquor. Primary Nucleation Primary nucleation is the initial formation of a crystal where there are no other crystals present or where, if there are crystals present in the system, they do not have any influence on the process. Homogeneous Nucleation In crystallization from solution, homogeneous nucleation almost never happens, except perhaps in some precipitation reactions. Crystal nuclei may form from various kinds of particles: molecules, atoms, or ions. In aqueous solutions, these may be hydrated. Because of their random motion, in any small volume several of these particles may associate to form what is called a cluster – a rather loose aggregation which usually disappears quickly. Occasionally, however, enough particles associate into what is known as embryo, in which there are the beginnings of the lattice arrangement and the formation of a new and separate phase. For the most part, embryos have short lives and revert to clusters or individual particles, but if the saturation is large enough, an embryo may grow to such a size that it is in thermodynamic equilibrium with the solution. It is then called a nucleus, which is the smallest assemblage of particles that will not redissolve and can therefore grow to form a crystal. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Lecture 43 In this lecture following topics would be covered Classification of crystallizer Various types of crystallizers Numerical problem based on rate of crystallization Cooling crystallizers The simplest cooling crystallizers are tanks provided with a mixer for internal circulation, where temperature decrease is obtained by heat exchange with an intermediate fluid circulating in a jacket. These simple machines are used in batch processes, as in processing of pharmaceuticals and are prone to scaling. Batch processes normally provide a relatively variable quality of product along the batch. The Swenson-Walker crystallizer is a model, specifically conceived by Swenson Co. around 1920, having a semicylindric horizontal hollow trough in which a hollow screw conveyor or some hollow discs, in which a refrigerating fluid is circulated, plunge during rotation on a longitudinal axis. The refrigerating fluid is sometimes also circulated in a jacket around the trough. Crystals precipitate on the cold surfaces of the screw/discs, from which they are removed by scrapers and settle on the bottom of the trough. The screw, if provided, pushes the slurry towards a discharge port. A common practice is to cool the solutions by flash evaporation: when a liquid at a given T0 temperature is transferred in a chamber at a pressure P1 such that the liquid saturation temperature T1 at P1 is lower than T0, the liquid will release heat according to the temperature difference and a quantity of solvent, whose total latent heat of vaporization equals the difference in enthalpy. In simple words, the liquid is cooled by evaporating a part of it. Evaporative crystallization Another option is to obtain, at an approximately constant temperature, the precipitation of the crystals by increasing the solute concentration above the solubility threshold. To obtain this, the solute/solvent mass ratio is increased using the technique of evaporation. This process is of course insensitive to change in temperature (as long as hydration state remains unchanged). All considerations on control of crystallization parameters are the same as for the cooling models. Nirma University Chemical Engineering Department 2CH309 - MASS TRANSFER OPERATIONS-II Handouts Evaporative crystallizers Most industrial crystallizers are of the evaporative type, such as the very large sodium chloride and sucrose units, whose production accounts for more than 50% of the total world production of crystals. The most common type is the forced circulation (FC) model (see evaporator). A pumping device (a pump or an axial flow mixer) keeps the crystal slurry in homogeneous suspension throughout the tank, including the exchange surfaces; by controlling pump flow, control of the contact time of the crystal mass with the supersaturated solution is achieved, together with reasonable velocities at the exchange surfaces. The Oslo, mentioned above, is a refining of the evaporative forced circulation crystallizer, now equipped with a large crystals settling zone to increase the retention time (usually low in the FC) and to roughly separate heavy slurry zones from clear liquid. Fig: Schematic of a DTB crystallizer