The Insignificance of Women in Camus’ The Stranger Essay...

In The Stranger, Camus portrays women as unnecessary beings created purely to serve materialistically and satisfy males through the lack of a deep, meaningful, relationship between Meursault and females. Throughout the text, the main character, Meursault, creates closer, more meaningful relationships with other minor characters in the story. However, in his interactions with females in this book, Meursault’s thoughts and actions center on himself and his physical desires, observations, and feelings, rather than devoting his attention to the actual female. Living in Algiers in the 1960s, Meursault originates from a post-modernist time of the decline in emotion. Meursault simply defies the social expectations and societal ‘rules’, as†¦show more content†¦This shows just how little he cared for such matters, writing off the topic of marriage so trivially. Meursault continues on to say to the reader that â€Å"she was the one who was doing the asking and all I was saying was yes.† (Camus 41-42). He justifies his lack of excitement or romance by stating that only Marie asked about, implying that he did not care for having a tight, emotional relationship with his lover, Marie. Marie plays the source of the love between them, while Meursault simply listens and enjoys in the pleasure of having her, but still feeling indifferent to her actual emotions. This downplay on their relationship and her feelings demonstrate that Meursault does not value anything of Marie below surface level and that he lacks the need for a warmer connection between them. Meursault does, however, still crave women as a whole in the same way which he craves, yet disregards, Marie. â€Å"I never thought specifically of Marie. But I thought so much about a woman, about women, about all the ones I had known, about all the circumstances in which I had enjoyed them...†(Camus 77). Meursault’s thoughts wander while he is in his jail cell, but never specifically dwell upon his relationships. In utilizing the word â€Å"I† Meursault links each of his these thoughts to him, solely pointing out each of these â€Å"circumstances† as they affected him, rather than anyShow MoreRelatedThe Insignificance of Women in Camus’ The Stranger Essay931 Words   |  4 Pages In The Stranger, Camus portrays women as unnecessary beings created purely to serve materialistically and satisfy males through the lack of a deep, meaningful, relationship between Meursault and females. Throughout the text, the main character, Meursault, creates closer, more meaningful relationships with other minor characters in the story. However, in his interactions with females in this book, Meursault’s thoughts and actions center on himself and his physical desires, observations, and feelingsRead MoreParental Influence on Clashes with Society in Love in the Time of Cholera and The Stranger1620 Words   |  7 Pages Latin author, Gabriel Garcà ­a Mà ¡rquez and Algerian writer Albert Camus, introduce how their characters conflict with socialization as a result of their cultivation in Love in the Time of Cholera and The Stranger respectively. In Mà ¡rquez’s novel, the key female role is assigned to Fermina Daza, a middle class Latina in the 1800s-1900s, expected to hold prestige and marry wealthy by her father and societal pressures. In The Stranger, Meursault, the protagonist, develops a niche for logic rather thanRead MoreThe Stranger By Albert Camus1476 Words   |  6 Pages In the novel The Stranger by Albert Camus, the ma in character Meursault kills an Arab man after the man attacks his friend and ends up in prison, condemned to death after the jury finds him guilty almost solely based on the fact that he was insensitive at his mother’s funeral. While in prison, Meursault has several epiphanies, that is, he has several moments when he feels a sudden sense of understanding about important aspects of his life that help him make peace with the fact that he will die soon

Beowulf and the Tempest-Revenge Free Essays

Revenge Many comparisons can be seen between Shakespeare’s novel The Tempest and the epic Beowulf. One of the strongest similarities is the idea of revenge. Shakespeare’s novel occurs basically in order for Prospero to have revenge on his enemies from usurping his dukedom. We will write a custom essay sample on Beowulf and the Tempest-Revenge or any similar topic only for you Order Now Beowulf’s original monster, Grendel, starts acting out less due to revenge and more out of pure frustration. His death though, causes his mother to act on revenge, killing one of Hrothgar’s trusted advisor, Aeschere, causing Beowulf to kill her for revenge. The dragon got mad about a stolen article and burned down Beowulf’s home in revenge, and so Beowulf went after him. Although they have different motives, both plots are caused greatly because of revenge. In The Tempest, Prospero’s brother, Antonio, with the help of his friends Sebastian and Alonso, took over Prospero’s dukedom. He was then sent to a deserted island with just his daughter Miranda for twelve years. Throughout his time on the island, Prospero continued to delve into his magic books. Along with he gaining new knowledge, he attained a servant Caliban, and an indebted spirit, Ariel. For twelve long years on the empty land Prospero plotted his revenge, something that was made possible due to his newfound knowledge of magic. Finally the day came when his master plan was able to finally become reality. He made a huge storm come, tearing apart the boat that held Antonio, Sebastian, Alonso, his son Ferdinand, and a few others. Ferdinand got separated from the rest and wound up, not coincidently, finding Miranda and falling in love with her. Alonso became distraught thinking his beloved son was dead. Antonio and Sebastian began to plot the death of Alonso. Finally as the novel came to an end, Prospero sent Ariel as a harpy to frighten his brother and the two other men and tell them all they have done wrong. They then were brought to Prospero. Alonso became very apologetic, while Antonio and Sebastian remained uncaring of what they had done. Their fate rested in Prospero’s hands. This was the plan Prospero had perfected all those years, the perfect revenge plot. At that moment he had all his enemies gathered around him. He could’ve killed them or banished them to a foreign land, but he did not. He said, â€Å"The rarer action is in virtue than in vengeance. They being penitent, the sole drift of my purpose doth extend not a frown further. Go release them, Ariel. My charms I’ll break, their senses I’ll restore, and they shall be themselves. (The Tempest, Act 5, Scene 1, 28-33) He had gotten his revenge, they were sorry, and he was content. Beowulf, though, did not start out like this. The monster Grendel was a descendant of Cain. He was forced to roam the Earth an outcast due to his ancestor killing his brother Abel for no apparent reason. He heard celebration going on in Heorot and got mad. He hated happiness and noise and celebration because he hated the hand he was dealt in life. So as revenge for his own hated life, he decided to wreck the party and make others miserable like himself. He continued to do so for a while, scaring all the Danes, even the most powerful. Finally a brave warrior, Beowulf, came from Geatland. He went to fight with Grendel using no protective gear at all. He managed to kill the ravaging beast. The Danes thought this was finally the end of the disaster that they had been hoping for. But it was not. Grendel’s mother was furious with Beowulf for killing her son. She was willing to die in order to avenge her son’s murder. She started to attack everyone. On her rampage in Heorot, she killed Aeschere, King Hrothgar’s most trusted advisor. The entire kingdom was furious, demanding the death of this horrible monster. Beowulf states to the king â€Å"Sorrow not, wise warrior. It is better for a man to avenge his friend than much mourn. Each of us must await his end of the world’s life. Let him who may get glory before death: that is best for the warrior after he has gone from life† (Beowulf 45). He is saying rather than mourning over Aeschere’s death, he should just avenge it. So the brave Beowulf once again came to the rescue. She lived under water so that was where he fought her and the place where she met her bitter end. Beowulf’s final battle was also due to revenge. The dragon had a valuable cup that had gone missing from the treasures. He was furious and ransacked the entire country, including burning down Beowulf’s house. Therefore Beowulf went after the dragon to avenge his lost home. This was his final battle, the fight where he lost his life. Although revenge is a major theme in both The Tempest and Beowulf, their reasons for revenge are very different. Prospero wants revenge in order to get his life back. He was thrown out of his dukedom and onto a deserted island. He wanted his enemies to feel remorse and to gain back his dukedom and that was all. In Beowulf it was very different. Everyone wanted revenge because they were upset and wanted to hurt the nemesis. Grendel was upset with his lineage so he wanted to stop all happiness so he attacked Heorot. Grendel’s mother wanted to avenge her son’s murder so she too destroyed Heorot, including killing Aeschere. Beowulf and all the Danes wanted to avenge Aeschere’s murder so he killed Grendel’s mother. The dragon wanted his treasure back so he raided the country, and Beowulf got angry and attacked the dragon. Prospero just wanted remorse and he was happy. The characters in Beowulf wanted revenge and payback. How to cite Beowulf and the Tempest-Revenge, Essay examples

Object Permanence Example Essay Example

Object Permanence Example Paper The development of object permanence in infancy The study of developmental psychology plays a very significant role in understanding the physical and psychological changes encountered in humans, from conception until adulthood and even death. In infants, several characteristics abound, which are either innate or need to be learnt for the survival of the child as growth proceeds. Gradually, certain changes are observed in the infant as she improves upon her basic skills and conceptual development. These changes are particularly very rapid and involve several variations in behavioural patterns within very short periods. In order to understand the changes, several developmental psychologists have done some important research with a view to understanding the otherwise complicated stage of infancy in humans. Prominent in this study of the child and her development, is Jean Piaget, a Swiss developmental psychologist whose works have been a pivot around which other research into developmental psychology have revolved. Jean Piaget was renowned for his theory of cognitive development, which is grouped into four stages of sensorimotor, preoperational, concrete operational and formal operational. This paper however sets out to discuss a very important phenomenon in Piagets sensorimotor stage of cognitive development, which is object permanence. It refers to the childs ability to understand that objects exist independently from the child. A child who possesses this ability is able to understand the fact that objects continue to exist even if they are not within her immediate sight (Jean Piaget, 2003). However, certain characteristics abound, which precede the attainment of object permanence in infants. Prominent among these is the solid basis of action. We will write a custom essay sample on Object Permanence Example specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Object Permanence Example specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Object Permanence Example specifically for you FOR ONLY $16.38 $13.9/page Hire Writer In other words, action is the most striking characteristic of human thinking during the sensorimotor stage of cognitive development (Bukatko and Daehler, 2003, p. 274). At the earliest period of this stage, that is, prior to one month, the infants movements occur as a result of reflex activities and not deliberate actions. The concept of object permanence at this stage therefore, is non-existent in the infant. Repetition of behaviours in later months such as nipple sucking and crawling however generates a feedback, which result in another action and another one. Gradually, the infant understands her actions better and is able to use them to generate more goal oriented actions with anticipated results, other than was the case with the reflex, which is more accidental than deliberate. She is then able to differentiate herself from things around her and learns more about them. This significant achievement is known as means-end behaviour (Bukatko and Daehler, 2003, p. 273). It is a very important basis for the development and eventual acquisition of object permanence. The concept of object permanence is a very significant feat in the development of the infant at the sensorimotor stage; therefore, it is studied in its six sub-stages. These sub-stages however reveal distinct features in the development of object permanence. The first of the sub-stages is that of early reflexes. It characterises the period between the birth of a child and when she is one month old. Actions around this time are highly reflexive and the child does not understand the fact that objects still exist on their own when they are no longer in sight. The reflex actions are usually motivated by a biological need, for example, hunger motivates the infant to suck from her mothers breast without being taught (Jean Piaget, 2003). The child between the ages of one month and four is in the second sub-stage of the sensorimotor stage. This sub-stage is referred to as the primary circular reaction stage. It is when the child is only interested in her body and nothing external to her body seems to be of any great significance. At this stage, the child repeats a behaviour, which produces interesting results centered on her body only. As such, the infant conforms to the saying, out of sight, out of mind. An infant of three months, whose toy is taken away, does not go in search of it even if it is only placed behind her and not somewhere far away. As long as the toy is not within her immediate view, it is no longer of any significance as it is consequently forgotten like it never existed. Infants at this stage, just like the reflex stage, therefore, also lack the object concept. The third sub-stage is the genesis of the object permanence phenomenon. It is referred to as the secondary circular reactions stage and is a sub-stage of children between the ages of four and eight months. During this phase of development, there is a gradual development of the object concept whereby partially hidden objects are searched and retrieved by the infant after it has been seen and partially covered from her. At this stage, the infant begins to integrate more with her environment and not just herself and behaviours are repeated, just like in the previous stage. In other words, the infant repeats behaviours, which are external and not necessarily part of her. This ability to separate self from the external environment thus allows for the acquisition of object permanence, which is still at its early stages. The precedence necessary for object permanence at this stage is that the infant sees an object first before she is tested for the concept. If her toy is taken away and hidden partially, an infant at this stage is able to follow the sequence of events and sees a part of it, which then becomes a good clue to the discovery of the hidden object. If there is no part of the toy in view and the infant never saw the toy taken away or drop, it would however still not be possible to go in search of it at this stage. Consequently, the infant at eight months of age commences the stage whereby, the co-ordination of actions is now possible. This stage lasts till she is twelve months old and involves a combination of several events aimed at co-ordination. Activities at this stage include grasping an object with one hand and trying to grasp another with the other hand. Prior to this stage, this action of co-ordination would have been impossible for the infant. The form which object permanence takes in this phase of the development is such that is possible for the infant to search for a completely hidden object and not a partially hidden one like the example with the secondary circular reactions stage. The infant, who had seen an object earlier on, has the ability to search for it when it has been completely hidden beyond view. This is not so with the secondary stage whereby there needs to be a clue, like, a part of the hidden object in order for it to be searched for. The problem at this stage can be referred to as the A Not-B error. Though she is able to search for a completely hidden object, the infant however has not developed the object concept fully and can only search where the object had been initially and no other place; even if she saw it moved to the new location. Furthermore, the infant progresses in the sensorimotor stage of cognitive development by attaining the tertiary circular reactions stage of cognitive development. Here, she tries to experiment with different actions in order to achieve the same result. For example, an infant at this stage would drop a spoon at first, then a fork later in order to listen to their sound. It is characterised by the ability of the infant to follow visible displacements of an object. If an object has been moved from one room to another, an infant at this stage follows the movement in search of the object in the other room. It is however very important that the infant sees that the object has been moved to another room in order to initiate the search due to the displacement. The age range of children in this group is twelve and eighteen months. The most important event necessary for them is that they see the displacement take place, in order to be able to trace it. They are therefore said to possess the ability to follow visible displacement of an object. Object permanence is a gradual process in the development of an infant, which is not achieved in a short while but develops with time. As discussed in preceding paragraphs, it begins gradually at about five months though at its very early stages. The final sub-stage of the sensorimotor phase of development however corresponds to the full development of object permanence in children. It is referred to as the stage of invention of new means through mental combinations (Bukatko and Daehler, 2003, p. 273). This is the period when the child is between the ages of eighteen months and twenty-four months. At the end of this stage of development, the development of the concept of object permanence is completed in most infants. This stage of development is also characterized by the infants ability to imitate peers and members of her family. She is also at this point in time, able to think through potential solutions to little problems. It is this ability to think through that grants her the distinction compared to children of the last stage of tertiary circular reactions. Unlike children in the previous stage, those of this stage of development are able to follow invisible displacements of an object. A toy which has been removed from one room and placed in another, just as was the case in tertiary circular reactions can also be followed and searched for in the new location. The difference however is that, while infants of the previous stage have to see the toy moved to another location for follow-up, those of this stage already know fully that the toy can exist on its own, therefore, they are capable of making efforts to search for it in another location. A child is then assumed to have had a full development of the concept of object permanence. This stage thus concludes the sensorimotor stage of the cognitive development theory of Jean Piaget. Though widely regarded to as a renowned psychologist and founder of developmental psychology, Piagets work in the field has also been widely criticised over the years. He has often been criticised to have underestimated the abilities of young children in his developmental theory. In an experiment by Renee Baillargeon (1987), it was suggested that children possess the concept of object permanence to a better extent than that suggested by Piaget. This experiment was carried out on four-month olds, who behaved as if they understood that an object continued to exist even when it was concealed by a screen. At first, they were made to observe a screen that rotated back and forth over repeated trials, eventually showing habituation of visual fixation to this display. Next, a box was placed behind the screen, which was initially visible when the screen was flat against the table. As the screen rotated away from the child however, the box became hidden from view, hence the introduction of the possible event and impossible event conditions. In the possible event condition, the screen stopped moving at the point where it hit the box and in the impossible event, the box was removed and the screen passed through the space the box would have occupied. Habituation experiments would suggest that the infants would look longer at the possible event rather than the impossible one. However, Baillargeon observed that the infants looked longer at the impossible event, drawn in by the fact that the screen was moving through the space where the box should have been (Bukatko and Daehler, 2003, pp. 279-280). Consequently, object concept was proposed for these four-year-olds, quite different from Piagets proposal. Piaget suggests that the first real notions of object permanence begin at about eight months, when the infant can go in search of an object, which is completely hidden, provided she had seen it before. Baillargeon however also observed that six-and -a half months old children would reach in the dark for an object which they had seen previously (Renee Baillargeon, 1987). This is also different from what Piaget suggests at that stage of development because, objects in the dark can be regarded as totally hidden, yet the child still reaches out to them. Developmental psychology has therefore come of age, with new discoveries, theories and concepts, making significant impacts. The contribution of Baillargeon on the concept of object permanence therefore remains quite significant, without any bias about the existing concept by Piaget. As far as the object concept is concerned, the ages attributed to the development of these developmental concepts such as object permanence remain a controversial issue. Piagets work and consequent theory, though remain the bedrock of advancement in developmental psychology, significant contributions and discoveries such as Baillargeons will continue to go a long way in improving existing knowledge of the child.

Ksp Chemistry Complete Guide to the Solubility Constant

Ksp Chemistry Complete Guide to the Solubility Constant SAT / ACT Prep Online Guides and Tips Are you learning chemistry but don’t quite understand the solubility product constant or want to learn more about it? Not sure how to calculate molar solubility from $K_s_p$? The solubility constant, or $K_s_p$, is an important part of chemistry, particularly when you’re working with solubility equations or analyzing the solubility of different solutes. When you have a solid grasp of $K_s_p$, those questions become much easier to answer! In this $K_s_p$ chemistry guide, we’ll explain the $K_s_p$ chemistry definition, how to solve for it (with examples), which factors affect it, and why it’s important. At the bottom of this guide, we also have a table with the $K_s_p$ values for a long list of substances to make it easy for you to find solubility constant values. What Is $K_s_p$? $K_s_p$ is known as the solubility constant or solubility product. It’s the equilibrium constant used for equations when a solid substance is dissolving in a liquid/aqueous solution. As a reminder, a solute (what is being dissolved) is considered soluble if more than 1 gram of it can be completely dissolved in 100 ml of water. $K_s_p$ is used for solutes that are only slightly soluble and don’t completely dissolve in solution. (A solute is insoluble if nothing or nearly nothing of it dissolves in solution.) $K_s_p$ represents how much of the solute will dissolve in solution. The value of $K_s_p$ varies depending on the solute. The more soluble a substance is, the higher its $K_s_p$ chemistry value. And what are the $K_s_p$ units? Actually, it doesn’t have a unit! The $K_s_p$ value does not have any units because the molar concentrations of the reactants and products are different for each equation. This would mean the $K_s_p$ unit would be different for every problem and would be difficult to solve, so in order to make it simpler, chemists generally drop $K_s_p$ units altogether. How nice of them! How Do You Calculate $K_s_p$? In this section, we explain how to write out $K_s_p$ chemistry expressions and how to solve for the value of $K_s_p$. For most chemistry classes, you’ll rarely need to solve for the value of $K_s_p$; most of the time you’ll be writing out the expressions or using $K_s_p$ values to solve for solubility (which we explain how to do in the â€Å"Why Is $K_s_p$ Important† section). Writing $K_s_p$ Expressions Below is the solubility product equation which is followed by four $K_s_p$ chemistry problems so you can see how to write out $K_s_p$ expressions. For the reaction $A_aB_b$(s) â‡Å' $aA^b^{+}$(aq) + $bB^a^{-}$ (aq) The solubility expression is $K_s_p$= $[A^b^{+}]^a$ $[B^a^{-}]^b$ The first equation is known as a dissociation equation, and the second is the balanced $K_s_p$ expression. For these equations: A and B represent different ions and solids. In these equations, they are also referred to as "products". a and b represent coefficients used to balance the equation (aq) and (s) indicate which state the product is in (aqueous or solid, respectively) Brackets stand for molar concentration. So [AgCl] represents the molar concentration of AgCl. In order to write $K_s_p$ expressions correctly, you need to have a good knowledge of chemical names, polyatomic ions, and the charges associated with each ion. Also, the key thing to be aware of with these equations is that each concentration (represented by square brackets) is raised to the power of its coefficient in the balanced $K_s_p$ expression. Let’s look at a few examples. Example 1 $PbBr_2$(s) â‡Å' $Pb^2^{+}$ (aq) + $2Br^{ ¯}$ (aq) $K_s_p$= $[Pb^2^{+}]$ $[Br ¯]^2$ In this problem, don’t forget to square the Br in the $K_s_p$ equation. You do this because of the coefficient â€Å"2† in the dissociation equation. Example 2 CuS(s) â‡Å' $Cu^{+}$ (aq) + S ¯(aq) $K_s_p$= [$Cu^{+}$] [S ¯] Example 3 $Ag_2CrO_4$ (s) â‡Å' 2$Ag^{+}$ (aq) + $CrO_4^2^{-}$ (aq) $K_s_p$= $[Ag^{+}]^2$ [$CrO_4^2$] Example 4 $Cu_3$ $(PO_4)^2$ (s) â‡Å' $3Cu^2^{+}$ (aq) + $2PO_4^3^{ ¯}$ (aq) $K_s_p$ = $[Cu^2^{+}]^3$ [$PO_4^3^ ¯$]$^2$ Solving for $K_s_p$ With Solubility In order to calculate a value for $K_s_p$, you need to have molar solubility values or be able to find them. Question: Determine the $K_s_p$ of AgBr (silver bromide), given that its molar solubility is 5.71 x $10^{ ¯}^7$ moles per liter. First, we need to write out the two equations. AgBr(s) â‡Å' $Ag^{+}$ (aq) + $Br^{ ¯}$ (aq) $K_s_p$ = [$Ag^{+}$] [$Br^{ ¯}$] Now, since in this problem we're solving for an actual value of $K_s_p$, we plug in the solubility values we were given: $K_s_p$ = (5.71 x $10^{ ¯}^7$) (5.71 x $10^{ ¯}^7$) = 3.26 x $10^{ ¯}^13$ The value of $K_s_p$ is 3.26 x $10^{ ¯}^13$ What Factors Affect $K_s_p$? In this section, we discuss the main factors that affect the value of the solubility constant. Temperature Most solutes become more soluble in a liquid as the temperature is increased. If you’d like proof, see how well instant coffee mixes in a cup of cold water compared to a cup of hot water. Temperature affects the solubility of both solids and gases but hasn’t been found to have a defined impact on the solubility of liquids. Pressure Pressure can also affect solubility, but only for gases that are in liquids. Henry's law states that the solubility of a gas is directly proportional to the partial pressure of the gas. Henry’s law is written as p=kc, where p is the partial pressure of the gas above the liquid k is Henry’s law constant c is the concentration of gas in the liquid Henry’s law shows that, as partial pressure decreases, the concentration of gas in the liquid also decreases, which in turn decreases solubility. So less pressure results in less solubility, and more pressure results in more solubility. You can see Henry’s law in action if you open up a can of soda. When the can is closed, the gas is under more pressure, and there are lots of bubbles because a lot of the gas is dissolved. When you open the can, the pressure decreases, and, if you leave the soda sitting out long enough, the bubbles will eventually disappear because solubility has decreased and they are no longer dissolved in the liquid (they’ve bubbled out of the drink). Molecular Size Generally, solutes with smaller molecules are more soluble than ones with molecules particles. It’s easier for the solvent to surround smaller molecules, so those molecules can be dissolved faster than larger molecules. Why Is $K_s_p$ Important? Why does the solubility constant matter? Below are three key times you’ll need to use $K_s_p$ chemistry. To Find the Solubility of Solutes Wondering how to calculate molar solubility from $K_s_p$? Knowing the value of $K_s_p$ allows you to find the solubility of different solutes. Here’s an example: The $K_s_p$ value of $Ag_2SO_4$ ,silver sulfate, is 1.4Ãâ€"$10^{–}^5$. Determine the molar solubility. First, we need to write out the dissociation equation: $K_s_p$=$ [Ag^{+}]^2$ $[SO_4^2]$ Next, we plug in the $K_s_p$ value to create an algebraic expression. 1.4Ãâ€"$10^{–}^5$= $(2x)^2$ $(x)$ 1.4Ãâ€"$10^{–}^5$= $4x^3$ $x$=[$SO_4^2$]=1.5x$10^{-}^2$ M $2x$= [$Ag^{+}$]=3.0x$10^{-}^2$ M To Predict If a Precipitate Will Form in Reactions When we know the $K_s_p$ value of a solute, we can figure out if a precipitate will occur if a solution of its ions is mixed. Below are the two rules that determine the formation of a precipitate. Ionic product $K_s_p$ then precipitation will occur Ionic product $K_s_p$ then precipitation will not occur To Understand the Common Ion Effect $K_s_p$ also is an important part of the common ion effect. The common ion effect states that when two solutions that share a common ion are mixed, the solute with the smaller $K_s_p$ value will precipitate first. For example, say BiOCl and CuCl are added to a solution. Both contain $Cl^{-}$ ions. BiOCl’s $K_s_p$ value is 1.8Ãâ€"$10^{–}^31$ and CuCl’s $K_s_p$ value is 1.2Ãâ€"$10^{–}^6$. BiOCl has the smaller $K_s_p$ value, so it will precipitate before CuCl. Solubility Product Constant Table Below is a chart showing the $K_s_p$ values for many common substances. The $K_s_p$ values are for when the substances are around 25 degrees Celsius, which is standard. Because the $K_s_p$ values are so small, there may be minor differences in their values depending on which source you use. The data in this chart comes from the University of Rhode Island’s Department of Chemistry. Substance Formula $K_s_p$ Value Aluminum hydroxide $Al(OH)_3$ 1.3Ãâ€"$10^{–}^33$ Aluminum phosphate $AlPO_4$ 6.3Ãâ€"$10^{–}^19$ Barium carbonate $BaCO_3$ 5.1Ãâ€"$10^{–}^9$ Barium chromate $BaCrO_4$ 1.2Ãâ€"$10^{–}^10$ Barium fluoride $BaF_2$ 1.0Ãâ€"$10^{–}^6$ Barium hydroxide $Ba(OH)_2$ 5Ãâ€"$10^{–}^3$ Barium sulfate $BaSO_4$ 1.1Ãâ€"$10^{–}^10$ Barium sulfite $BaSO_3$ 8Ãâ€"$10^{–}^7$ Barium thiosulfate $BaS_2O_3$ 1.6Ãâ€"$10^{–}^6$ Bismuthyl chloride $BiOCl$ 1.8Ãâ€"$10^{–}^31$ Bismuthyl hydroxide $BiOOH$ 4Ãâ€"$10^{–}^10$ Cadmium carbonate $CdCO_3$ 5.2Ãâ€"$10^{–}^12$ Cadmium hydroxide $Cd(OH)_2$ 2.5Ãâ€"$10^{–}^14$ Cadmium oxalate $CdC_2O_4$ 1.5Ãâ€"$10^{–}^8$ Cadmium sulfide $CdS$ 8Ãâ€"$10^{–}^28$ Calcium carbonate $CaCO_3$ 2.8Ãâ€"$10^{–}^9$ Calcium chromate $CaCrO_4$ 7.1Ãâ€"$10^{–}^4$ Calcium fluoride $CaF_2$ 5.3Ãâ€"$10^{–}^9$ Calcium hydrogen phosphate $CaHPO_4$ 1Ãâ€"$10^{–}^7$ Calcium hydroxide $Ca(OH)_2$ 5.5Ãâ€"$10^{–}^6$ Calcium oxalate $CaC_2O_4$ 2.7Ãâ€"$10^{–}^9$ Calcium phosphate $Ca_3(PO_4)_2$ 2.0Ãâ€"$10^{–}^29$ Calcium sulfate $CaSO_4$ 9.1Ãâ€"$10^{–}^6$ Calcium sulfite $CaSO_3$ 6.8Ãâ€"$10^{–}^8$ Chromium (II) hydroxide $Cr(OH)_2$ 2Ãâ€"$10^{–}^16$ Chromium (III) hydroxide $Cr(OH)_3$ 6.3Ãâ€"$10^{–}^31$ Cobalt (II) carbonate $CoCO_3$ 1.4Ãâ€"$10^{–}^13$ Cobalt (II) hydroxide $Co(OH)_2$ 1.6Ãâ€"$10^{–}^15$ Cobalt (III) hydroxide $Co(OH)_3$ 1.6Ãâ€"$10^{–}^44$ Cobalt (II) sulfide $CoS$ 4Ãâ€"$10^{–}^21$ Copper (I) chloride $CuCl$ 1.2Ãâ€"$10^{–}^6$ Copper (I) cyanide $CuCN$ 3.2Ãâ€"$10^{–}^20$ Copper (I) iodide $CuI$ 1.1Ãâ€"$10^{–}^12$ Copper (II) arsenate $Cu_3(AsO_4)_2$ 7.6Ãâ€"$10^{–}^36$ Copper (II) carbonate $CuCO_3$ 1.4Ãâ€"$10^{–}^10$ Copper (II) chromate $CuCrO_4$ 3.6Ãâ€"$10^{–}^6$ Copper (II) ferrocyanide $Cu[Fe(CN)_6]$ 1.3Ãâ€"$10^{–}^16$ Copper (II) hydroxide $Cu(OH)_2$ 2.2Ãâ€"$10^{–}^20$ Copper (II) sulfide $CuS$ 6Ãâ€"$10^{–}^37$ Iron (II) carbonate $FeCO_3$ 3.2Ãâ€"$10^{–}^11$ Iron (II) hydroxide $Fe(OH)_2$ 8.0$10^{–}^16$ Iron (II) sulfide $FeS$ 6Ãâ€"$10^{–}^19$ Iron (III) arsenate $FeAsO_4$ 5.7Ãâ€"$10^{–}^21$ Iron (III) ferrocyanide $Fe_4[Fe(CN)_6]_3$ 3.3Ãâ€"$10^{–}^41$ Iron (III) hydroxide $Fe(OH)_3$ 4Ãâ€"$10^{–}^38$ Iron (III) phosphate $FePO_4$ 1.3Ãâ€"$10^{–}^22$ Lead (II) arsenate $Pb_3(AsO_4)_2$ 4Ãâ€"$10^{–}^6$ Lead (II) azide $Pb(N_3)_2$ 2.5Ãâ€"$10^{–}^9$ Lead (II) bromide $PbBr_2$ 4.0Ãâ€"$10^{–}^5$ Lead (II) carbonate $PbCO_3$ 7.4Ãâ€"$10^{–}^14$ Lead (II) chloride $PbCl_2$ 1.6Ãâ€"$10^{–}^5$ Lead (II) chromate $PbCrO_4$ 2.8Ãâ€"$10^{–}^13$ Lead (II) fluoride $PbF_2$ 2.7Ãâ€"$10^{–}^8$ Lead (II) hydroxide $Pb(OH)_2$ 1.2Ãâ€"$10^{–}^15$ Lead (II) iodide $PbI_2$ 7.1Ãâ€"$10^{–}^9$ Lead (II) sulfate $PbSO_4$ 1.6Ãâ€"$10^{–}^8$ Lead (II) sulfide $PbS$ 3Ãâ€"$10^{–}^28$ Lithium carbonate $Li_2CO_3$ 2.5Ãâ€"$10^{–}^2$ Lithium fluoride $LiF$ 3.8Ãâ€"$10^{–}^3$ Lithium phosphate $Li_3PO_4$ 3.2Ãâ€"$10^{–}^9$ Magnesium ammonium phosphate $MgNH_4PO_4$ 2.5Ãâ€"$10^{–}^13$ Magnesium arsenate $Mg_3(AsO_4)_2$ 2Ãâ€"$10^{–}^20$ Magnesium carbonate $MgCO_3$ 3.5Ãâ€"$10^{–}^8$ Magnesium fluoride $MgF_2$ 3.7Ãâ€"$10^{–}^8$ Magnesium hydroxide $Mg(OH)_2$ 1.8Ãâ€"$10^{–}^11$ Magnesium oxalate $MgC_2O_4$ 8.5Ãâ€"$10^{–}^5$ Magnesium phosphate $Mg_3(PO_4)_2$ 1Ãâ€"$10^{–}^25$ Manganese (II) carbonate $MnCO_3$ 1.8Ãâ€"$10^{–}^11$ Manganese (II) hydroxide $Mn(OH)_2$ 1.9Ãâ€"$10^{–}^13$ Manganese (II) sulfide $MnS$ 3Ãâ€"$10^{–}^14$ Mercury (I) bromide $Hg_2Br_2$ 5.6Ãâ€"$10^{–}^23$ Mercury (I) chloride $Hg_2Cl_2$ 1.3Ãâ€"$10^{–}^18$ Mercury (I) iodide $Hg_2I_2$ 4.5Ãâ€"$10^{–}^29$ Mercury (II) sulfide $HgS$ 2Ãâ€"$10^{–}^53$ Nickel (II) carbonate $NiCO_3$ 6.6Ãâ€"$10^{–}^9$ Nickel (II) hydroxide $Ni(OH)_2$ 2.0Ãâ€"$10^{–}^15$ Nickel (II) sulfide $NiS$ 3Ãâ€"$10^{–}^19$ Scandium fluoride $ScF_3$ 4.2Ãâ€"$10^{–}^18$ Scandium hydroxide $Sc(OH)_3$ 8.0Ãâ€"$10^{–}^31$ Silver acetate $Ag_2CH_3O_2$ 2.0Ãâ€"$10^{–}^3$ Silver arsenate $Ag_3AsO_4$ 1.0Ãâ€"$10^{–}^22$ Silver azide $AgN_3$ 2.8Ãâ€"$10^{–}^9$ Silver bromide $AgBr$ 5.0Ãâ€"$10^{–}^13$ Silver chloride $AgCl$ 1.8Ãâ€"$10^{–}^10$ Silver chromate $Ag_2CrO_4$ 1.1Ãâ€"$10^{–}^12$ Silver cyanide $AgCN$ 1.2Ãâ€"$10^{–}^16$ Silver iodate $AgIO_3$ 3.0Ãâ€"$10^{–}^8$ Silver iodide $AgI$ 8.5Ãâ€"$10^{–}^17$ Silver nitrite $AgNO_2$ 6.0Ãâ€"$10^{–}^4$ Silver sulfate $Ag_2SO_4$ 1.4Ãâ€"$10^{–}^5$ Silver sulfide $Ag_2S$ 6Ãâ€"$10^{–}^51$ Silver sulfite $Ag_2SO_3$ 1.5Ãâ€"$10^{–}^14$ Silver thiocyanate $AgSCN$ 1.0Ãâ€"$10^{–}^12$ Strontium carbonate $SrCO_3$ 1.1Ãâ€"$10^{–}^10$ Strontium chromate $SrCrO_4$ 2.2Ãâ€"$10^{–}^5$ Strontium fluoride $SrF_2$ 2.5Ãâ€"$10^{–}^9$ Strontium sulfate $SrSO_4$ 3.2Ãâ€"$10^{–}^7$ Thallium (I) bromide $TlBr$ 3.4Ãâ€"$10^{–}^6$ Thallium (I) chloride $TlCl$ 1.7Ãâ€"$10^{–}^4$ Thallium (I) iodide $TlI$ 6.5Ãâ€"$10^{–}^8$ Thallium (III) hydroxide $Tl(OH)_3$ 6.3Ãâ€"$10^{–}^46$ Tin (II) hydroxide $Sn(OH)_2$ 1.4Ãâ€"$10^{–}^28$ Tin (II) sulfide $SnS$ 1Ãâ€"$10^{–}^26$ Zinc carbonate $ZnCO_3$ 1.4Ãâ€"$10^{–}^11$ Zinc hydroxide $Zn(OH)_2$ 1.2Ãâ€"$10^{–}^17$ Zinc oxalate $ZnC_2O_4$ 2.7Ãâ€"$10^{–}^8$ Zinc phosphate $Zn_3(PO_4)_2$ 9.0Ãâ€"$10^{–}^33$ Zinc sulfide $ZnS$ 2Ãâ€"$10^{–}^25$ Conclusion: $K_s_p$ Chemistry Guide What is $K_s_p$ in chemistry? The solubility product constant, or $K_s_p$, is an important aspect of chemistry when studying solubility of different solutes. $K_s_p$ represents how much of the solute will dissolve in solution, and the more soluble a substance is, the higher the chemistry $K_s_p$ value. To calculate the solubility product constant, you’ll first need to write out the dissociation equation and balanced $K_s_p$ expression, then plug in the molar concentrations, if you’re given them. The solubility constant can be affected by temperature, pressure, and molecular size, and it’s important for determining solubility, predicting if a precipitate will form, and understand the common ion effect.

Summary and Review of Proof, a Play from David Auburn

Summary and Review of Proof, a Play from David Auburn Proof  by David Auburn premiered on Broadway in October 2000. It received national attention, earning the Drama Desk Award, the Pulitzer Prize, and the Tony Award for Best Play. The play is intriguing with fascinating dialogue and two characters who are well-developed and an academic, mathematical theme. It does, however, have a few downfalls. Plot Overview of Proof Catherine, the twenty-something daughter of an esteemed mathematician, has just laid her father to rest. He died after suffering from a prolonged mental illness. Robert, her father, had once been a gifted, ground-breaking professor. But as he lost his sanity, he lost his ability to coherently work with numbers. The audience quickly learns: Catherine is brilliant in her own right, but she fears that she might possess the same mental illness which ultimately incapacitated her father.Her older sister wants to take her to New York where she can be cared for, in an institution if need be.Hal (a devoted student of Roberts) searches through the professors files hoping to discover something usable so that his mentors final years wont have been a complete waste. During the course of his research, Hal discovers a pad of paper filled with profound, cutting-edge calculations. He incorrectly assumes the work was Roberts. In truth, Catherine wrote the mathematic proof. No one believes her. So now she must provide proof that the proof belongs to her. (Note the double-entendre in the title.) What Works in Proof? Proof  works very well during the father-daughter scenes. Of course, there are only a couple of these since the father character, after all, is dead. When Catherine does converse with her father, these flashbacks reveal her often conflicting desires. We learn that Catherines academic goals are thwarted by her responsibilities to her ailing father. Her creative urges are offset for her propensity for lethargy. And she worries that her so-far undiscovered genius might be a tell-tale symptom of the same affliction to which her father succumbed. David Auburns writing is at its most heartfelt when father and daughter express their love (and sometimes despair) for math. There is a poetry to their theorems. In fact, even when Roberts logic has failed him, his equations exchange rationality for a unique form of poetry: Catherine (Reading from her fathers journal.)Let X equal the quantities of all quantities of X.Let X equal the cold.Its cold in December.The months of cold equal November through February. Another strong point of the play is Catherine herself. She is a strong female character: incredibly bright, but by no means prone to flaunting her intellect. She is by far the most well-rounded of the characters (in fact, with the exception of Robert, the other characters seem bland and flat by comparison). Proof  has been embraced by colleges and high school drama departments. And with a leading character like Catherine, it is easy to understand why. A Weak Central Conflict One of the major conflicts of the play is Catherines inability to convince Hal and her sister that she actually invented the proof in her fathers notebook. For a while, the audience ​is unsure as well. After all, Catherines sanity is in question. Also, she has yet to graduate from college. And, to add one more layer of suspicion, the math is written in her fathers handwriting. But Catherine has a lot of other things on her plate. Shes dealing with grief, sibling rivalry, romantic tension, and the slow sinking feeling of losing ones mind. She isnt terribly concerned about proving that the proof is hers. She is deeply annoyed that the people closest to her fail to believe her. For the most part, she doesnt spend much time trying to prove her case. In fact, she even tosses the notepad down, saying that Hal can publish it under his name. Ultimately, because she doesnt really care about the proof, we the audience dont care too much about it either, thereby diminishing the conflict. A Poorly Conceived Romantic Lead One more downside: Hal. This character is sometimes nerdy, sometimes romantic, sometimes charming. But for the most part, hes a dweeb. Hes the most skeptical about Catherines academic abilities, yet it seems that if he wanted, he could talk to her for about five minutes and discover her mathematical skills. But he never bothers until the plays resolution. Hal never states this, but it seems that his main contention against Catherines authorship of the proof boils down to sexism. Throughout the play, he seems on the verge of shouting: You couldnt have written this proof! Youre just a girl! How could you be good at math? Sadly, theres a half-hearted love story tacked on. Or maybe its a lust story. Its hard to say. During the second half of the play, Catherines sister discovers that Hal and Catherine have been sleeping together. Their sexual relationship seems very casual, but it does kick the level of betrayal up a notch when Hal continues to doubt Catherines genius.

Seminar in Criminology - Discussion 8 Essay Example | Topics and Well Written Essays - 250 words

Seminar in Criminology - Discussion 8 - Essay Example Morton’s defense team and thus his defense was at a disadvantage. If the judge had ensured that all evidence collected was also presented to the defense team the wrongful conviction might have been avoided. Although there can really never be enough compensation for the years Mr. Morton spent in prison after the wrongful conviction, some monetary compensation is necessary to show the mercy of the state. In my opinion, the state would have compensated Mr. Morton monetary wise for the years he spent in prison and educate his children to the highest levels. The monetary compensation by the state should have been double Mr. Morton’s earnings per year multiplied by the 25 years. The research conducted by Bedau and Radelet in Chapter 5 made recommendations that led to the decrease in wrongful convictions and that reforms in criminal prosecutions. The research has led to creation of policies and organizations to help in reducing wrongful convictions. Today, there are many non-profit organizations that research into such cases focusing on wrongful convictions (Thistlethwaite & Wooldredge, 2014). In my opinion these reforms by Bedau and Radelet have been very critical in improving the justice system in the United States since it has reduced the over reliance on DNA

Industry Analysis Research Paper Example | Topics and Well Written Essays - 1000 words

Industry Analysis - Research Paper Example This paper will analyze the competitiveness of Apple Inc in the industry. Application software industry analysis Introduction Apple Inc was established in Cupertino, California back in April 1976. Apple manufactures the Mac OS X operating system, the iWork suite of productivity software and iTunes media browser. Some innovative products include the Final cut Studio that includes professional audio and film industry software. The company has earned a good reputation due to its philosophy of innovation, aesthetic product design and distinctive marketing efforts. In the year 2009, the global sales turnover was $ 42.91 billion (Hoovers 2012). Mac OS X, based on NeXTs OPENSTEP and BSD Unix was launched in 2001 after several years of research and development. Mac OS X combines reliability, security of Unix and ease of the user interface. In the same year, iPod digital audio player was introduced while the iTunes store that offers online music was introduced in 2003. More than 5 billion mus ic downloads had been sold by the year 2008 (Henry, 2008). Microsoft Corporation has its headquarters in Washington that develops licenses and manufacturers different computing products. Some of the product divisions include servers and tools, entertainment, windows and windows live division, and Microsoft business division. Microsoft has not only focused on its software division but also consumer electronics, digital distribution, video games, hardware and online advertising (Hoovers 2012). The mission of the company is to help businesses around the globe to realize their full potential (Ungson & Wong, 2007). Apple Inc has various strengths that make the company competitive in the application software industry. Apple has a considerable market share due to its reputation of innovation. Apple has a competitive pricing strategy and maintains the operating costs lower than Microsoft. Apple has consistently differentiated its products and like the communications and media products. Appl e has achieved customer loyalty due to high quality software than Microsoft software (Hoovers 2012). Unlike Microsoft, Apple Inc has a strong online presence which has enabled the company to attain market leadership in the online sales (Ungson & Wong, 2007). STEEP Analysis Steep analysis refers to the social, technological economic, environmental and political factors that determine the competitive capabilities of the businesses in a particular industry. These external factors influence the competitive strategies that firms in the industry must implement (Hill & Jones, 2009). Social environment The social environment is conducive for Apple Inc business. The world population growth rate is currently high where the youth comprise majority of the population. The level of literacy is high since most of the countries have compulsory education laws thus the demand for application software will remain high. Generally, the US citizens have positive attitudes towards work and use of software products to facilitate the efficiency of work. US citizens desire quality and innovative products thus the demand for Apple’s application software and other media products will remain high (Ungson & Wong, 2007). Technological environment The recent advances in computing and use of the internet to market application software will enhance the market share for Apple (Hoovers 2012). Apple utilizes modern technology in the design and manufacture of its products like the iPhone. Unlike Microsoft