Mass balances for a ternary system consisting of a, b and c in an equilibrium stage can be written as follows: Total mass balance: L₀ + V₂ = Σ (Equation 1) Component a balance: L₀Xa₀ + V₂Ya₂ = ΣZa (Equation 2) Component c balance: L₀Xc₀ + V₂Yc₂ = ΣZc (Equation 3) For the leaving stream, mass balances can also be formed: Total mass balance: L₁ + V₁ = Σ (Equation 4) Component a balance: L₁Xa₁ + V₁Ya₁ = ΣZa (Equation 5) Component c balance: L₁Xc₁ + V₁Yc₁ = ΣZc (Equation 6) A component mass balance for b can also be written, but it would be...

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The laws show: PV=nRT Where P=Gas Pressure in system (kg s^(-2) m^(-2) ) V=volume occupied by gas (m^3 ) n=number of moles of gas R=Universal Gas Constant (8.314 J K^(-1) mol^(-1) T=Absolute temperature of has (K) Considering an ideal hot air balloon of 100% efficiency, an equation can be derived from the gas laws to predict the payload (weight a balloon can carry) and analyze trends in the factors affecting flight. ... Although literature values exist, it is unlikely to be of equal magnitude as the balloon system is not 100% efficient. ... Energy Density of Fuels Energy Density i...

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Students learn basic algebra equations, mainly using numerical expressions. ... Students are taught how to understand algebraic equations and fractions and to solve problems and equations. ... Mathematics Students are taught real number system as a coherent of elements, operations and properties. Students are taught use of algebraic expressions, equations, and inequalities. ... Students are taught to represent equations and inequalities as graphs. ...

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The Park City and Phosphoria formations are comprised of the type II marine source rock for the Phosphoria-Weber petroleum system. ... Equations from Asquith (1982), were used to produce logs that are corrected for the presence of shale. ... Equations will be drawn out and explained. ... Water saturation was calculated with the standard Archie equation: Where: RW = .033 M = 2 N = 2 SW log is plotted in track 7 in figure 3. ... A., 2003, Geologic Assessment of undiscovered oil and gas resources of the Mancos/Mowry total petroleum system, Uinta-Piceance Province, Utah and Colorado: ...

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In these cases it is often possible to determine the enthalpy of reaction by direct measurements on more accessible related systems and then applying Hess' Law. ... Explaining the method: We want to find out the change in enthalpy for the following equation: MgSO4 + 7H2O =  MgSO4•7H2O As we can not measure this enthalpy change directly, we will use the following two equations to calculate the enthalpy change for the equation above. ... Then, the value obtained for ∆H for each equation, is converted in to kilojoules by dividing by one thousand, and then converted ...

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However, in ancient Greece either a physical measurement of the  circumference of the circle had to be made or a critical factor in the still not widely known equation for determining the area had to be used. ... However, Archimedes went on to determine a much more accurate value for pi, which advanced the determination of the area of circles in another way The reason parabolic spiral and hyperbolic spiral are so named is because their equation in polar system r*θ == 1 and r^2 == θ resembles the equation for hyperbola x*y == 1 and parabola x^2 == y in rectangular coordinates system.What...

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Our solar system contains nine small planets and a miniature star called the sun. ... One of the most debated theories towards the possibility extraterrestrial life is the Drake Equation. Frank Drake created this equation at the SETI (search for extraterrestrial intelligence) center.(Ashpole10) In the equation Drake explains how many intelligent civilizations could exist in our universe by asking six questions. ... Let's say we found a planetary system in our closest neighbor galaxy, Andromeda. ...

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(Cutnell & Johnson, p971-972) We will use these equations to further are exploration of are reactor. ... We will begin by reviewing equations for the reactor which was as follows: Thermal neutron + U235 Ba141 + Kr92 +3 Fast neutrons + heat or Thermal neutron + U235 Xe140 + Sr94+2 Fast neutrons + heat. ... If the right side of the equation is larger than the left side, the number of neutrons will increase, which is called the supercritical state. If the right side of the equation is smaller than the left side, the number of neutrons will decrease, which is called the subcritical state. ... This...

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NO NO + O 2 Even though the oxygen produced reacts to form ozone (equation 1) the nitrogen oxide reacts with it and turns it back into nitrogen dioxide and oxygen: O + NO O + NO 3 In natural conditions this reaches a steady state so that the rate of production of ozone is equal to the rate of destruction of ozone. ... *Equations from: "Photochemical smog: the killer on a summer's day- by Gwen and Mike Pilling. ... Equations from Chemical storylines - Salters advanced chemistry To redu...

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The resources and ability has always been available to be used to create a system that treats all of us. ... Until the money making factor is taken out of the equation the people who have and make the least amount of money will always be at the bottom of the equation. ... Cons to this type of system would be the massive transition needed to change it over to a new one. ... To improve patient safety by initiating a system to keep equipment and facilities at optimal levels of operation. ... It is time we give ourselves a shot of antibiotics and cure ourselves from this broken system and make...

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The data used in this project is from the websites of the Vancouver Police Department and AccuWeather database, which is a worldwide weather report system. ... The equation (y = 0.3539x + 50.304) shows that the coefficient for number of cases of robbery is 0.3539. ... The equation (y = -0.0579x + 434.55) shows that the coefficient for number of cases of B&E is -0.0579. ... A mathematical equation is developed for the line of best fit representing the data. ... For instance, sexual offences, the regression equation is y=30.6549+0.1537x (R2=0.0123*). ...

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The above process is shown in the equation below: Ag+(aq) + Cl(aq)  AgCl(s) Though the produced salt is insoluble, some small amount of the precipitate does dissolve in water as shown in the equation below: AgCl(s)  Ag+(aq) + Cl-(aq) Looking at the above two equations it is clear that the precipitation reaction is reversible. ... The greatest chance of solubility of the precipitate back to ions occurs when the exact amount of Silver ions are added to precipitate the chloride ions making the system in equilibrium hence it is preferred that some of exc...

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Leibniz made a machine that could also multiply and worked on a system of dials and gears. ... Babbage's first attempt at solving this problem was made in 1822 when he made a machine to calculate differential equations called a Difference Engine. ... One of them was Vannevar Bush (1890 - 1974) who developed a calculator for solving differential equation in 1931. The machine could solve complex differential equations but it was cumbersome due to its hundreds of gears and shafts in order to represent numbers and their relationships. ... This approach would not have existed if it wasn&#x...

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Heat transfer: As heat is introduced to the system, water at the surface will begin to evaporate. ... The relevant equation for heat transfer by convection is Fourier's Law: 2. ... The system operates at temperatures ranging from 50 degrees C to 70 degrees C. ... Any type of spills or shocks to the system will disturb the process and may result in misleading data points. ... Setup control system in LabView for readouts • Pre-Lab Setup 1. ...

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In 1886, an experiment was conducted by Michelson and Morley in an attempt to prove Newton's theory of absolute motion, whichis motion that stays the same regardless of the system it is measured in. ... In short, we would have many beams of light from this system traveling through space in ourdirection, each with a different speed, and as a result they would pass one another on their trip to Earth. ... Considering this, Einstein had come up with the equation E=mc2 (energy equals mass times the speed of light squared). ... Later his equation of E=mc2 became the symbol for the power of the ...

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In 1886, an experiment was conducted by Michelson and Morley in an attempt to prove Newton's theory of absolute motion, whichis motion that stays the same regardless of the system it is measured in. ... In short, we would have many beams of light from this system traveling through space in ourdirection, each with a different speed, and as a result they would pass one another on their trip to Earth. ... Considering this, Einstein had come up with the equation E=mc2 (energy equals mass times the speed of light squared). ... Later his equation of E=mc2 became the symbol for the ...

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Plagiarism and cheating are major problems the educational system has always faced. www.pble.ac.uk an educational website which conducts surveys on different school related topics has published a report on cheating and has concluded that 9 students out of 10 have cheated at least once during high school on tests, projects and written assignments. ... There is also the direct way of cheating where students cheat by all means, such as trickery (writing out equations or write answers onto small pieces of paper and taping it under their shirts), breaking into teachers rooms and stealing exams and ...

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The optics are mounted on a suspension system to automatically maintain a level line of sight, even if the instrument is slightly tilted. ... These measurements as well as a few simple mathematical equations are how the surveyor determines elevation for a location. ... A system is needed to tell the surveyor how accurate their work must be. ... Depending on which type of measurement is taken one of two equations are used. ...

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In order to better understand this concept, Barthes uses the following equation as an explanation of the basic components of the theory. ... Rather, it is part of a system. ... This system is strictly descriptive. In the second system, the sign of the denotative system becomes the signifier of the connotative system. ... The sign of the denotative system becomes the signifier of the connotative system. ...

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This equation of moral correctness=superior intellect is annoying, to say the least. ... "....death penalty opponents have a major stake in convincing people that the system deals adequately with criminals short of killing them, and that an abolition of the death penalty won't lead to other dubious European practices, such as gun confiscation, short sentences for violent criminals, and an emphasis on punishing citizens for acting in self-defense against criminals, all of which is widespread in the death-penalty-free European countries. ... Rummel at September 28, 2003 09:34 PM Commen...

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Data Analysis To determine the average of the lengths and widths the following equation was used: Mean= (∠'â–'χ)/n The following equation was used to determine the standard deviation of the lengths and widths: Standard Deviation= √((∠'â–'(χ- χ Ì )^2 )/((n-1) )) The standard error of the mean was used to observe how far the lengths and widths were from the mean: Standard Error of the Mean= (Standard Deviation)/√n The density of the respective hair types was determined using the following: Density of the hairs= (Number of hairs...

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So where does this Pygmalion theory enter the equation? In this example student's ability is not dictated by one teacher or person; but by a whole school system that believes based on one day's achievement, that these students are doomed to a life of underachievement and mediocrity! ... These are traits that are taught by the parents and the school systems they attend. ... The student is now labeled "special" by the system, stupid by their friends. ...

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So where does this Pygmalion theory enter the equation? In this example student's ability is not dictated by one teacher or person; but by a whole school system that believes based on one day's achievement, that these students are doomed to a life of underachievement and mediocrity! ... These are traits that are taught by the parents and the school systems they attend. ... The student is now labeled "special" by the system, stupid by their friends. ...

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Learning to make overnight delivery carriers that are a planned part of the transportation equation, instead of an exception, 2. ... A requisite of the JIT system is to make variants to order and assemble against a demand backlog. ... We're not set up to do that and have to build a system to do that. ... Conclusion Just-in-time delivery systems have saved the economy enormous sums of money since they became popular over a decade ago. Now the concept is expanding and growing with a system that has become known as JIT II. ...

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According to Torada and Smith, Income Index is known when we use this equation: . 40000 refers to the richest among all; and 100 refers to the poorest of all. ... So for Educational Index, the equation is . ... If we talk about development, the country must have an acceptable or even high standard of education system, healthcare, income, and long lives. ... Their education system is also quite good, and so does healthcare. ...

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