Rational Equations Rational equations can be used to get a general idea about the rate at which a job can be completed. This can be really useful for business owners and other areas of daily life. Here is an example: Scenario: Sue can paint the garage in 4 hours and Joe has carpal tunnel so he is slower and can paint the same garage in 6 hours. How long (number of hours) will it take Sue and Joe to paint the garage if they work together? Solution: Sue can paint of the garage in 1 hour. Joe
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DEPARTMENT OF CHEMICAL ENGINEERING Reaction Engineering CGC035 / CGC052 Problem Sheet 3 - Fluid-fluid reactions 1. The reaction rate for the heterogeneous reaction A(g) + B(l)→ products is second order according to the expression -rA=kCACB and it is relatively slow compared to mass transfer so it takes place in the bulk of the liquid. Combine the following rate expressions for diffusion through the gas and liquid films‚ -rA=kAga(pA-pAi) and -rA=kAlaCAi-CA‚ with Henry’s law pAi=HACAi
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Does concentration affect the speed of chemical reactions? Problem: We are proving that “concentration” (the amount of reactants) is one of the things that can affect the speed of chemical reactions. We are also finding a way to keep the lid on the film canister for the longest period of time. We are using vinegar and water as reactants and changing the concentration every time to see the difference between the rates of reactions speed. Materials: - 1 graduated cylinder - 1 film canister
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Introduction to Structural Equation Modeling (Path Analysis) SGIM Precourse PA08 May 2005 Jeffrey L. Jackson‚ MD MPH Kent Dezee‚ MD MPH Kevin Douglas‚ MD William Shimeall‚ MD MPH Traditional multivariate modeling (linear regression‚ ANOVA‚ Poisson regression‚ logistic regression‚ proportional hazard modeling) is useful for examining direct relationships between independent and dependent variables. All share a common format: Dependent Variable = Independent variable1 + Independent Variable2 + Independent
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Quadratic equation In elementary algebra‚ a quadratic equation (from the Latin quadratus for "square") is any equation having the form where x represents an unknown‚ and a‚ b‚ and c represent known numbers such that a is not equal to 0. If a = 0‚ then the equation is linear‚ not quadratic. The numbers a‚ b‚ and c are the coefficients of the equation‚ and may be distinguished by calling them‚ the quadratic coefficient‚ the linear coefficient and the constant or free
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also sometimes called dissolution‚ is the process of attraction and association of molecules of a solvent with molecules or ions of a solute. As ions dissolve in a solvent they spread out and become surrounded by solvent molecules. Example: As an ionic compound dissolves‚ such as NaCl‚ the ions become surrounded by the solvent‚ say H2O(water) molecules. The ions are said to be ’solvated’ as they become surrounded by the solvent‚ similar to a hoard of bees surrounding a nest. The solvation process
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What are Enzymes? Enzymes are proteins that quicken chemical reaction in our body. They are found in our digestive system‚ in the stomach mostly. They are there to speed up the process of breaking down food into molecules that provide nutrients to the body. Enzymes are made up of amino acids. The Digestive System: Many people believe that when you eat a meal it drops into a pool of stomach acid‚ and then it is broken down as it goes into the small intestine to have nutrients taken out‚ and then
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TEN EQUATIONS THAT CHANGED THE WIRLD The brightest minds in history have used mathematics to lay the foundation for how we measure and understand our universe. Time and time again‚ we have proved that it only takes one simple formula to alter the course of humanity. Here are ten equations that did just that. ISSAC NEWTON’S LAW OF UNIVERSAL GRAVITATION Newton’s law explains why planets move the way they do‚ and how gravity works‚ both on earth and throughout the universe. First published in the
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2013 “Reaction Classes and Pericyclic Reactions” ● 4 Lectures ● Recommended Texts: (i) J. March “Advanced Organic Chemistry”‚ p 839‚ `---Edn.‚ Oxford (W); Warren (2) Ch 34‚ 35. Syllabus 1) General principles (a) Reaction classes (i) Heterolytic (ii) Homolytic (iii) Pericyclic (b) Pericyclic Reaction Types 2) Electrocyclic Reactions (a) Definition and examples (b) Stereochemical aspects and the Woodward and Hoffmann rules 3) Cycloaddition Reactions (a) Definition
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1. For Part 2: Single-Displacement Reactions: For each of the four single-displacement reactions‚ describe what happened in each well. If a chemical reaction occurred‚ write a balanced equation for it. Then using the A‚ B symbols‚ write a general equation for a single-displacement reaction. Here are the chemical formulas of the reactants for each reaction: • zinc – Zn copper sulfate – CuSO4 In well 1A there was a chemical reaction which turned the zinc black‚ while the
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