Art in south afric Research Paper Example | Topics and Well Written Essays - 750 words - 2

Art in south afric - Research Paper Example 2012, par. 3). 2) The South African design creative inspiration artwork; thus art is celebrated as a significant aspect of the cultural heritage. South Africa.info (2012, par. 2) argues that produced artifacts such as self-portraits that depicted the new world. Some of the paints had symbolic meanings and some of them had artistic vision; thus engaged the way people lived in South Africa during the colonial era (Peffer 2009, 79). 3) South African artists produced varied artifacts and many of artists emerged after the end of apartheid with fantastic features that became highly marketable across the globe. For, the artifact features become one their economic activities because some cultural groups especially the Zulu started designing beads that they sold to tourists (Peffer 2009, 79). This enabled them to generate income; hence they became well known for being an artistic society. 1) Some fork arts in South Africa have made progress into becoming high art in western style of designing modern artistic materials. For instance, some of the traditional fork artists such as Bonnie Ntshalintshali and Phutuma Seoka have made significant change on the way they design artifacts (South Africa.info. 2012, par. 3). These artists among others have nowadays become well known in producing distinctive artifacts features of western style (Museum of Modern Art and Hecker 2011, 34). 2) Art in a world of change due to cultural differences have significantly contributed to change in South Africa. This is because of globalization; thus many of the artists have nowadays started adopting the aesthetic dimensions of the western society (Shapiro 2008, 12). Most of the South African artists have now emerged with the artistic features that are of high demand. Even though globalization has created change, they still design traditional artifacts that are being sold within and outside their society. 3) Black

Review of Related Studies Essay Example for Free

Review of Related Studies Essay A lot has been written about what supply management is, and how it relates not only to similar terms and to concept like purchasing, procuring, and sourcing, but also to concepts like management, logistics, and supply chain management. Most authors differentiate purchasing, procurement, sourcing, and supply management as follows: they start by stating that purchasing includes operational activities that are carried out more or less exclusively by one department, namely the purchasing department. The sequence of activities here usually starts with the need identification and ends with the tracking of purchasing activities. Procurement is then defined as being broader in scope and including some activities of strategic relevance. According to Dobler/Burt (1996), procurement includes not only purchasing but also tasks that are strategic in nature. The same logic is then applied to supply management as figure 1 shows. See on page 38 for the figure. Monczka/Trent/Handfield(1998) use the terms purchasing and procurement interchangeable throughout their book. In their view, purchasing and procurement are functional activities that â€Å"most often refer to day-to-day management of material flows and information†. They also define sourcing â€Å"a cross functional process that involves member of the firm other than those who work in the purchasing department, the sourcing management team may include members from engineering, quality, design, manufacturing, marketing, accounting, strategic planning, and other department† Kaufmann (1995) describe sourcing; â€Å"an integrative management approach to designing all supplier relations in the sense of a total relationship management† Arnold (1997) uses the term supply management as an umbrella term for the concept of procurement, materials management, and logistics. According to him, the latter includes inbound logistics, and internal logistics, as well as outbound logistics. Tempelmeier (1995) defines purchasing as contract-centered (as opposed to logistical activities implying the physical movement of goods). He defines procurement as all activities aiming at supplying the company with needed inputs. Corsten (1995) the process of purchasing denotes the act of acquiring the property right of the procurement goods. He defines procurement in a similar way as Tempelmeier. Sourcing is the process of planning and handling outside sources. He defines supply management as procurement with a strategic focus that acts proactively and contributes significantly to company performance. Koppelmann (1995) uses the term Procurement Marketing for nearly exactly the same set of activities as Dobler/Burt do for supply management. There is also some discussion about the types of purchases that fall under each of the definitions. International authors like Dobler/Burt (1996), Monczka/Trent/Handfield (1998), and van Weele (1995) restrict the scope of purchasing, procurement, sourcing or supply management to materials, services, and capital equipment. They do not include the supply of the company with financial resources or personnel. German authors like Arnold (1997), Fieten (1986), Pieper/Pfohl (1993), Tempelmeier (1995) argue differently: They say that from a theoretical standpoint all inputs have to be considered. Some of them like Arnold and Pieper/Pfohl however, pragmatically restrict the scope of purchasing, procurement, or supply management to materials.

Stalin vs Trotsky

Stalin vs Trotsky The weaknesses and failures of Stalins opponents were not the main reason why Stalin rose to power over Trotsky. However, it did slightly affect the outcome of the power struggle. In some historians point of view, such as E.H Carr and I. Deutscher, they hold the conviction that Trotsky had no talent for leadership among equals.  [1]  On the similar side of the debate, G. Hosking, a Scottish historian, described Stalins opponents to be rather incautious. They were content to leave him to assemble and classify the personnel files, not yet realizing what power were accumulating therein.  [2]  However, I do not totally agree with these historians because Stalins personality is dangerously strong since no one could have possibly stopped him. Deutscher who agreed with this point of view wrote, It seemed to Trotsky almost a bad joke that Stalin, the willful and sly but shabby and inarticulate man in the background, should be his rival.  [3]  Deutschers work could be interpreted in two ways. He could be saying that Trotsky was foolish enough to not target Stalin as his rival but in a more logical sense, it should be interpreted as Stalins sly personality that made Trotsky not able to his is true intentions. Trotsky was not weak since he commanded the Red Army and Lenin disagreed with the historians point of view because in 1924, Trotsky was recommended and claimed the most capable man in the present Communist Party. In Lenins Testament, he wrote, Comrade Trotsky, on the other hand is distinguished not only by his outstanding ability. He is personally perhaps the most capable man in the present Central Committee.  [4]  The evidences state that Trotsky was a great intellectual and he was one of the best orators in the Soviet Union and he was able to work crowds to bring them around his point of view. His position as Commissar for War also gave him a strong base in the Politburo. E.H. Carr wrote, He (Trotsky) could not establish his authority among colleagues by the modest arts of persuasion or by sympathetic attention to the views of men of lesser intellectual caliber than himself.  [5]  This analysis is accurate because in the 1900s, most families were from the working class or t hey were peasants whom were mostly illiterate. Trotsky had a great advantage because as commander of the Red Army, he was in a strong position to crush his opposition. However, Trotsky did show some weaknesses and his arrogant manner convinced the Politburo members fears. In Lenins view, He has displayed excessive self-assurance.  [6]  Trotsky had also openly disagreed with Lenin on policies at times and Trotsky bombarded Lenin with long memoranda, explaining why so much was wrong in Soviet Russia and how to correct it.  [7]  His acts did not give Lenin a good impression since he was questioning the decisions themselves. By fate, Trotsky was a former Menshevik and he had a Jewish origin which halted his progressive promotions in the party. The Bolshevik Party was heavily founded on heavy bureaucracy and Trotsky was dull enough to criticize the party for becoming too bureaucratic and less democratic.  [8]  His attack on bureaucratization was a contradiction with the nature of the Bolshevik Party. On the other side, Rob ert Conquest wrote Trotsky had no clear political tactics and E.H Carr added, He had made major mistakes that affected the outcome of the power struggle.  [9]  Both of these points are very logical and clear because in 1925, to reassure his innocence, he relinquished his position as Commissar for Military Affairs. Trotsky could fire masses of men to acclaim and follow him but historian Chris Corin wrote, He had no intention of becoming a dictator and had always been aware of the tendency for a power struggle after the revolution.  [10]  History has shown that Trotsky had not attempted to use the Red Army to secure his position. But Deutscher argued, The truth is that Trotsky refrained from attacking Stalin because he felt secure.  [11]  Nevertheless, Trotsky had major flaws in his attitude, argument and his political tactics since he was determined that he would be Lenins successor. Trotsky should have voiced over the debate on censoring the Lenins Testament to prove his innocence. However, we can see that Stalins political skills are overwhelmingly important in the struggle for power. Stalins strategies were powerful and his opponents had no clear thoughts before they acted. The party members were all focusing on defeating Trotsky because he was a commander of the Red Army.  [12]  The Politburo leaders were very incautious because if they had noticed Stalins moves on setting up loyalists in the Central Committee, they would be in an alliance with Trotsky. With the same point of view, G. Hosking said, Most of them, being well read in the history of past revolutions, were obsessed by a very different danger: that of finding the revolutions hijacked by another Bonaparte.  [13]  What G. Hosking said is very true; they have never seen anything like Stalins Administrative Approach in history therefore the significance of Stalins tactics consumed most of the reasons to his uprising. Stalins opponents took the wrong move in the event of Lenins testament. Lenin wrote a testament in December 1922 called Letter to Party Congress and presented to congress in 1924. Lenin wrote, Comrade Stalin has enormous power. I am not sure that he always knows how to exercise that power with sufficient caution.  [14]  In this situation, we can see the weaknesses of his opponents that led to Trotskys downfall. This, Testament was censored because Stalins opponents Zinoviev, Kamenev and the others were criticized and they were afraid that Trotsky would soon become the leader. Lenins testament recognized Trotsky as the most capable man. Lenin wrote, He is personally perhaps the most capable man in the present C. C. Stalins opponents did not listen to the advice of Lenin because if they did, Stalin would have lost his General Secretary position. Lenin wrote, Stalin is too rude, and this faultà ¢Ã¢â€š ¬Ã‚ ¦becomes unacceptable in the office of General Secretary. Therefore, I propose to the comrades that a way be found to remove Stalin from that post an d replace him with someone else.  [15]  If the letter was to be uncensored by the Politburo members, Stalin would have a harder time succeeding Lenins role over Trotsky. Conclusion After having examined the true factors that led to Trotsky not being able to become the sole leader of Soviet Russia since he was the favorite Candidate, this investigation came to the conclusion that Stalins political skill and ruthlessness was the most important cause of Trotskys downfall because his weaknesses were only limited to his complacency and party views. When Stalin took control of the General Secretary position, it was nearly impossible to stop him from becoming the sole leader of Soviet Russia. Through Stalins administrative approach, he had won his perceived survival game. Trotskys weaknesses were circumstances that existed as a benefit to Stalin but it was ultimately his cunning personality that allowed him to take full advantage of them. It is, evident that the use of Stalins own skills played a major role in the events in Soviet Russia from 1924-1929. Therefore in history, we see that Stalin is ruthless and skilled in his journey for power.

Poker Essay -- essays research papers

Poker: Draw Vs. Hold 'em As the room fills with smoke from cigars and cigarettes, I look across the table at the last guy in the hand. I think to myself, â€Å"Why did he just raise me?† I just raised the pot $25 on two pair. The other guy re-raised the pot another $25. My heart is beating like a freight train racing down the tracks, I’m doing everything in my power to stop from sweating and I’m trying to keep my face stone cold straight as to not give myself away. I’m pretty sure at this point that this guy is trying buy the pot, but it still makes me nervous. I decide to call his raise and when the cards are turned over I realize that I had just made the right call. I won the pot and fought off his bluff. Poker is a card game that has been around for hundreds of years. Although the origin of the game and the name itself are debatable, the game of Poker is played more than any other card game in the world. The scenario I explained took place during a game of Five Card Draw. This is a very popular rendition of Poker. Poker has evolved over the years and hence has numerous types of games that still fall under the Poker category. My favorite games are Five Card Draw and Texas Hold ‘em. Both games are similar because they derive from the original game of Poker, involves betting, and using playing cards. They also differ because of the betting, the number of cards used and the way the cards are dealt. Five Card Draw is o...

Essay --

Define the field of study: ââ€"  Environmental science is the study of the biotic and abiotic factors in the environment ââ€"  It specifically focuses on the interaction that humans have with their environment as well as the impact that they have on their environment ââ€"  It also looks at the cultural, sociological, and behavioral interactions between humans and their environment What do practitioners in this field do in their jobs? ââ€"  Environmental scientists do lots of work in the field e.g. testing water quality, looking at air pollution, and testing to see how chemicals could disperse in the event of a toxic spill ââ€"  They also study various fields e.g. physics, climatology, geology, biology, and meteorology and look into other areas such as natural resources management, statistics, and mathematical modeling ââ€"  Environmental scientists analyze environmental data ââ€"  They are also required to make lots of graphs and charts based off of what they find ââ€"  They also analyze data to determine the importance of human actions and activities on the environment ââ€"  Also they find and fix pollution and other environmental problems ââ€"  They also offer advice to businesses on how to keep the environment clean or on how to have a cleaner and more eco-friendly way of disposing waste ââ€"  Environmental scientists, instead of studying isolated organisms, look at different interconnected ecosystems so that they can learn more about the environment or the ecosystem in any given region ââ€"  They also study the earths properties, predict hazards, provide assessments on environmental issues as well as locating and preserving resources ââ€"  Also environmental scientists deal with invasive species What Skills and tools do the practitioners use? Some tools that environment... ...ystem is a water treatment system that relies very little if at all on mechanical elements e.g. wetlands. Relate this field to another science: I think that environmental science can be related to medicine. I think that the main similarities are the urge to help and save people as well as keep things healthy. In medicine you try to help people get back to full health by looking at various medications and do whatever is necessary to have them get better and stay healthy. In some branches of environmental science you try to predict when and where some natural disasters may strike. By doing so you can alert people in nearby areas to be aware of the disaster and you could ultimately save lots of lives. In other part of environmental science you are focus on keeping different ecosystems as well as the environment clean and healthy to give us all a better place to live.

Dark Energy Essay -- essays research papers

  Ã‚  Ã‚  Ã‚  Ã‚  Dark energy what is it? Dark energy is a unknown energy said to take up 70 percent of the universe. The energy is a repulsive gravitational effect that is causing the universe to accelerate out-ward. No one knows exactly what dark energy is or where it comes from.   Ã‚  Ã‚  Ã‚  Ã‚  Dark Energy is a new idea. Little is known about dark energy, yet it takes up a huge amount if the universe.   Ã‚  Ã‚  Ã‚  Ã‚  Scientist were able to show the universe was expanding at an accelerated rate by measuring the red-shift of an object by comparing the spectral lines of the elements and the spectral lines of the same elements measured in a lab. The more distant the objects that emit light the brighter the spectral lines. In 1998 scientist observed that the supernovas are becoming dimmer, which means they are getting closer instead of farther away. They were able to show that dark energy has an influence on light particles and photons. When a photon passes a galaxy it falls into the gravitational pull, and the dark energy because it repulses gravity makes the photon pass right through the galaxy with even more energy than when it entered. These findings make dark energy completely independent of the supernova observations.   Ã‚  Ã‚  Ã‚  Ã‚  Astronomers have found the first direct evidence of dark energy in the afterglow of the Big Bang, the radiation caused by the Big Bang called cosmic microwave background (CMB). The cosmi...

Factors Affecting Solubility

There are three main factors that control solubility of a solute. (1) Temperature (2) Nature of solute or solvent (3) Pressure EFFECT OF TEMPERATURE Generally in many cases solubility increases with the rise in temperature and decreases with the fall of temperature but it is not necessary in all cases. However we must follow two behaviours: In endothermic process, solubility increases with the increase in temperature and vice versa. For example: solubility of potassium nitrate increases with the increase in temperature. In exothermic process, solubility decrease with the increase in temperature.For example: solubility of calcium oxide decreases with the increase in temperature. Gases are more soluble in cold solvent than in hot solvent. NATURE OF SOLUTE AND SOLVENT Solubility of a solute in a solvent purely depends on the nature of both solute and solvent. A polar solute dissolved in polar solvent. Solubility of a non-polar solute in a solvent is large. A polar solute has low solubil ity or insoluble in a non-polar solvent. EFFECT OF PRESSURE The effect of pressure is observed only in the case of gases. An increase in pressure increases of solubility of a gas in a liquid.For example carbon dioxide is filled in cold drink bottles (such as coca cola, Pepsi 7up etc. ) under pressure. Properties of Solution Concentration The concentration of a solution is the measure of how much solute and solvent there is. A solution is concentrated if it contains a large amount of solute, or dilute if contains a small amount. Molarity Molarity is the number of moles of solute per litre of solution. It is abbreviated with the symbol M, and is sometimes used as a unit of measurement, e. g. a 0. 3 molar solution of HCl. In that example, there would be 3 moles of HCl for every 10 litres of water (or whatever the solvent as). Molality Molality is the number of moles of solute per kilogram of solvent. It is abbreviated with the symbol m (lowercase), and is sometimes used as a unit of me asurement, e. g. a 0. 3 molal solution of HBr. In that example, there would be 3 moles of HBr for every 10 kilograms of water (or whatever the solvent was). Mole Fraction The mole fraction is simply the moles of solute per moles of solution. As an example, you dissolve one mole of NaCl into three moles of water. Remember that the NaCl will dissociate into its ions, so there are now five moles of particles: one mole Na+, one mole Cl-, and three moles water.The mole fraction of sodium is 0. 2, the mole fraction of chloride is 0. 2, and the mole fraction of water is 0. 6. The mole fraction is symbolized with the Greek letter (chi), which is often written simply as an X. Dilution Dilution is adding solvent to a solution to obtain a less concentrated solution. Perhaps you have used dilution when running a lemonade stand. To cut costs, you could take a half-full jug of rich, concentrated lemonade and fill it up with water. The resulting solution would have the same total amount of sugar a nd lemon juice, but double the total volume. Its flavour would be weaker due to the added water.The key concept is that the amount of solute is constant before and after the dilution process. The concentration is decreased (and volume increased) only by adding solvent. Thus, the number of moles of solute before and after dilution are equal. moles1 = moles2 By definition of molarity, you can find the moles of solvent. M x V = moles Substituting the second equation into the first gives the dilution equation. M1 x V1 = M2 x V2 To determine the amount of solvent (usually water) that must be added, you must know the initial volume and concentration, and the desired concentration.Solving for V2 in the above equation will give you the total volume of the diluted solution. Subtracting the initial volume from the total volume will determine the amount of pure solvent that must be added. Ionic Solutes When ionic compounds dissolve in water, they separate into ions. This process is called diss ociation. Note that because of dissociation, there are more moles of particles in the solution containing ions than there would be with the solute and solvent separated. If you have two glasses of water, and you dissolve salt into one and sugar into the other, there will be a big difference in concentration.The salt will dissociate into its ions, but sugar (a molecule) will not dissociate. If the salt were NaCl, the concentration would be double that of the sugar. If the salt were MgCl2, the concentration would be triple (there are three ions). Solubility Rules Not all ionic compounds are soluble. Some ionic compounds have so much attractive force between their anions and cations that they will not dissociate. These substances are insoluble and will not dissolve. Instead, they clump together as a solid in the bottom of solution. Many ionic compounds, however, will dissociate in water and dissolve.In these cases, the attractive force between ion and water is greater than that between cation and anion. There are several rules to help you determine which compounds will dissolve and which will not. Solubility Rules 1. All compounds with Group 1 ions or ammonium ions are soluble. 2. Nitrates, acetates, and chlorates are soluble. 3. Compounds containing a halogen are soluble, except those with fluorine, silver, or mercury. If they have lead, they are soluble only in hot water. 4. Sulfates are soluble, except when combined with silver, lead, calcium, barium, or strontium. . Carbonates, sulfides, oxides, silicates, and phosphates are insoluble, except for rule #1. 6. Hydroxides are insoluble except when combined with calcium, barium, strontium, or rule #1. Sometimes, when two different ionic compounds are dissolved, they react, forming a precipitate that is insoluble. Predicting these reactions requires knowledge of the activity series and solubility rules. These reactions can be written with all ions, or without the spectator ions (the ion that don't react, present o n both sides of the reaction), a format known as the net ionic equation.For example, silver nitrate is soluble, but silver chloride is not soluble (see the above rules). Mixing silver nitrate into sodium chloride would cause a cloudy white precipitate to form. This happens because of a double replacement reaction. Electrolytes When solutes dissociate (or if a molecule ionizes), the solution can conduct electricity. Compounds that readily form ions, thus being good conductors, are known as strong electrolytes. If only a small amount of ions are formed, electricity is poorly conducted, meaning the compound is a weak electrolyte.A strong electrolyte will dissolve completely. All ions dissociate. A weak electrolyte, on the other hand, will partially dissociate, but some ions will remain bonded together. Colligative Properties Some properties are the same for all solute particles regardless of what kind. These are known as the colligative properties. These properties apply to ideal solut ions, so in reality, the properties may not be exactly as calculated. In an ideal solution, there are no forces acting between the solute particles, which is generally not the case. Vapor PressureAll liquids have a tendency for their surface molecules to escape and evaporate, even if the liquid is not at its boiling point. This is because the average energy of the molecules is too small for evaporation, but some molecules could gain above average energy and escape. Vapor pressure is the measure of the pressure of the evaporated vapor, and it depends on the temperature of the solution and the quantities of solute. More solute will decrease vapor pressure. The vapor pressure is given by Rauolt's Law, where X is the mole fraction of the solvent.Notice that the vapor pressure equals that of the pure solvent when there is no solute (X = 1). If X = 0, there would be no vapor pressure at all. This could only happen if there were no solvent, only solute. A solid solute has no vapor pressure . P solution = P pure solvent (X solvent) If two volatile substances (both have vapor pressures) are in solution, Rauolt's Law is still used. In this case, Rauolt's Law is essentially a linear combination of the vapor pressures of the substances. Two liquids in solution both have vapor pressures, so this equation must be used. P solution = P1 (X1) + P2(X2)The second equation shows the relationship between the solvents. If two liquids were mixed exactly half-and-half, the vapor pressure of the resulting solution would be exactly halfway between the vapor pressures of the two solvents. Another relation in Henry's Law, which shows the relationship between gas and pressure. It is given by Cg = k Pg , where C is concentration and P is pressure. As the pressure goes up, the concentration of gas in solution must also increase. This is why soda cans release gas when they are opened – The decrease in pressure results in a decrease in concentration of CO2 in the soda.Boiling Point Elev ation A liquid reaches its boiling point when its vapor pressure is equal to the atmosphere around it. Because the presence of solute lowers the vapor pressure, the boiling point is raised. The boiling point increase is given by: ?T solution = Kb X m solution The reduced vapor pressure increases the boiling point of the liquid only if the solute itself is non-volatile, meaning it doesn't have a tendency to evaporate. For every mole of non-volatile solute per kilogram of solvent, the boiling point increases by a constant amount, known as the molal boiling-point constant (Kb).Because this is a colligative property, K2 is not affected by the kind of solute. Freezing Point Depression A liquid reaches its freezing temperature when its vapor pressure is equal to that of its solid form. Because the presence of the solute lowers the vapor pressure, the freezing point is lowered. The freezing point depression is given by: ? T solution = K f X m solute Again, this equation works only for non- volatile solutes. The temperature of the freezing point decreases by a constant amount for every one mole of solute added per kilogram solvent. This constant (K f) is known as the molar freezing-point constant.Osmosis If you studied biology, you would know that osmosis is the movement of water through a membrane. If two solutions of different molarity are placed on opposite sides of a semipermiable membrane, then water will travel through the membrane to the side with higher molarity. This happens because the water molecules are â€Å"attached† to the solvent molecules, so they cannot travel through the membrane. As a result, the water on the side with lower molarity can more easily travel through the membrane than the water on the other side. The pressure of this osmosis is given in the equation. ? = MRTWhere pi is the pressure, M is molarity, R is the gas constant, and T is temperature in Kelvin. Electrolytes and Colligative Properties When one mole of table salt is added t o water, the colligative effects are double those that would have occurred if sugar were added instead. This is because the salt dissociates, forming twice as many particles as sugar would. This dissociation, called the Van't Hoff Factor describes how many particles that are dissociated into the solution and must be multiplied into the Boiling Point Elevation or Vapor Pressure Lowering equations. Different ways of expressing the concentration of solutionsMass Percentage The mass percentage of a component in a given solution is the mass of the component per 100g of the solution. For e. g. , if WA is the mass of the component A, WB is the mass of the component B in a solution. Then, Example: A 10% solution of sodium chloride in water (by mass) means that 10g of sodium chloride are present in 100g of the solution. Volume percentage This unit is used in case of a liquid dissolved in another liquid. The volume percentage is defined as the volume of the solute per 100 parts by volume of s olution. For e. g. , If VA is the volume of component A present is Vsol volume of the solution.Then, For e. g. , a 10% solution of ethanol C2H5OH, in water (by volume) means that 10cm3 of ethanol is present in 100cm3 of the solution. Strength of a solution is defined as the amount of the solute in gms, present in one litre of the solution. It is expressed as gL-1. Mathematically, Molarity Molarity of a solution is defined as the number of moles of solute dissolved per litre of solution. Mathematically, For e. g. , If ‘a' is the weight of the solute (in gms) present in VCC volume of the solution. Then, Molarity is expressed by the symbol M. It can also be expressed as, NormalityNormality of a solution is defined as the number of gram equivalents (gm. e) of a solute dissolved per litre of the given solution. Mathematically it is, For e. g. , If a is the weight of the solute (in gms) present in VCC volume of the solution. Then, Normality is expressed by the symbol N. It can also be expressed as, Relationship between molarity and normality The molarity and normality of a solution is related to each other as follows: Molality Molality of a solution is defined as the number of moles of solute dissolved in 1000g of a solvent. Mathematically, it is expressed as Molality is expressed by the symbol m.Molality does not change with temperature. Formality In case of ionic compounds like KCl, CaCO3 etc. Formality is used in place of molarity. It is the number of gram formula masses of solute dissolved per liter of the solution. It is denoted by the symbol F. Mathematically it is given as, Mole Fraction It is the ratio of number of moles of one component (solute or solvent) to the total number of moles of all the components (solute and solvent) present in the solution. It is denoted by the symbol X. Let us suppose that a solution contains two components A and B and suppose that nA moles of A and nB moles of B are present in the solution then,Adding eq (i) and (ii) we g et XA + XB = 1 Parts per million (ppm) When a solute is present in very small amounts, its concentration is expressed in parts per million. It is defined as the amount of the solute present in one million parts of the solution. It may be noted that the concentration units like molarity, mole fraction etc. are preferred as they involve the weight of the solute and solvent, which is independent of the temperature. But units like, molarity, normality etc. , involve volume of the solution, hence changes with temperature.