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Writing balanced chemical equations is essential for chemistry class. Here are examples of balanced equations you can review or use for homework. Note that if you have 1 of something, it does not get a coefficient or subscript. The word equations for a few of these reactions have been provided, though most likely youll be asked to provide only the standard chemical equations. In chemistry, its important to be able to recognize when equations are balanced, when they are not balanced, and how to balance them.A balanced equation contains the same number of each type of atoms on both the left and right sides of the reaction arrow.To write a balanced equation, the reactants go on the left side of the arrow, while the products go on the right side of the arrow.Coefficients (number in front of a chemical formula) indicate moles of a compound. Subscripts (numbers below an atom) indicate the number of atoms in a single molecule.To calculate the number of atoms, multiply the coefficient and the subscript. If the atom appears in more than one reactant or product, add together all the atoms on each side of the arrow.If there is only one mole or one atom, then the coefficient or subscript 1 is implied, but is not written.A balanced equation is reduced to the lowest whole number coefficients. So, if all the coefficients can be divided by 2 or 3, do this before finalizing the reaction.6 CO2 + 6 H2O → C6H12O6 + 6 O2 (balanced equation for photosynthesis)6 carbon dioxide + 6 water yields 1 glucose + 6 oxygen2 AgI + Na2S → Ag2S + 2 NaI2 silver iodide + 1 sodium sulfide yields 1 silver sulfide + 2 sodium iodideBa3N2 + 6 H2O → 3 Ba(OH)2 + 2 NH33 CaCl2 + 2 Na3PO4 → Ca3(PO4)2 + 6 NaCl4 FeS + 7 O2 → 2 Fe2O3 + 4 SO2PCl5 + 4 H2O → H3PO4 + 5 HCl2 As + 6 NaOH → 2 Na3AsO3 + 3 H23 Hg(OH)2 + 2 H3PO4 → Hg3(PO4)2 + 6 H2O12 HClO4 + P4O10 → 4 H3PO4 + 6 Cl2O78 CO + 17 H2 → C8H18 + 8 H2O10 KClO3 + 3 P4 → 3 P4O10 + 10 KClSnO2 + 2 H2 → Sn + 2 H2O3 KOH + H3PO4 → K3PO4 + 3 H2O2 KNO3 + H2CO3 → K2CO3 + 2 HNO3Na3PO4 + 3 HCl → 3 NaCl + H3PO4TiCl4 + 2 H2O → TiO2 + 4 HClC2H6O + 3 O2 → 2 CO2 + 3 H2O2 Fe + 6 HC2H3O2 → 2 Fe(C2H3O2)3 + 3 H24 NH3 + 5 O2 → 4 NO + 6 H2OB2Br6 + 6 HNO3 → 2 B(NO3)3 + 6 HBr4 NH4OH + KAl(SO4)2·12H2O → Al(OH)3 + 2 (NH4)2SO4 + KOH + 12 H2O When you balance a chemical equation, its always a good idea to check the final equation to make sure it works out. Perform the following check:Add up the numbers of each type of atom. The total number of atoms in a balanced equation will be the same on both sides of the equation. The Law of Conservation of Mass states the mass is the same before and after a chemical reaction.Make sure you accounted for all types of atoms. Elements present on one side of the equation need to be present on the other side of the equation.Make sure you cant factor out the coefficients. For example, if you could divide all of the coefficients on both sides of the equation by 2, then you may have a balanced equation, but not the simplest balanced equation. James E. Brady; Frederick Senese; Neil D. Jespersen (2007). Chemistry: Matter and Its Changes. John Wiley & Sons. ISBN 9780470120941.Thorne, Lawrence R. (2010). An Innovative Approach to Balancing Chemical-Reaction Equations: A Simplified Matrix-Inversion Technique for Determining the Matrix Null Space. Chem. Educator. 15: 304–308.Calculating simple interest is an essential skill for anyone who maintains a bank account, carries a credit card balance, or applies for a loan. The free printable worksheets in this lesson will improve your homeschool math lessons and help your students become better at calculations. This collection of worksheets will also help students understand the process using word problems. Answers are provided for each of the five worksheets on the second page for ease of grading.Before having students start on the worksheets, explain that when you borrow money, you have to repay the amount you borrowed as well as any added interest charges, which represents the cost of borrowing. In the same way, explain to students that when you lend money or deposit funds in interest-bearing accounts, you typically earn interest income for making your money available to other people. D. RussellPrint the PDF: Simple Interest Worksheet No. 1In this exercise, students will answer 10 word problems about calculating interest. These exercises will help homeschoolers learn how to calculate the rate of return on investments and illustrate how interest can accrue over time.Students will answer such questions as,How much interest does a $318 investment earn at 9 percent over one year?Explain to students that the answer would be $28.62 because $318 x 9 percent is the same as $318 x 0.09, which equals $28.62. Explain to students that they would have to pay this amount of interest in addition to repaying the principal, the amount of the original loan, $318. D. RussellPrint the PDF: Simple Interest Worksheet No. 2These 10 questions will reinforce the lessons from worksheet No. 1. Homeschoolers and other students will learn how to calculate rates and determine interest payments. For this PDF, students will answer word problem questions such as:If the balance at the end of eight years on an investment of $630 that has been invested at a rate of 9 percent is $1,083.60, how much was the interest?If students are struggling, explain that calculating this answer involves only simple subtraction, where you subtract the initial investment of $630 from the ending balance of $1,083.60. Students would set up the problem as follows:$1,083.60 – $630 = $453.60Explain that some of the information in the question was extraneous and not necessary to solve the problem. For this problem, you dont need to know the years of the loan (eight years) or even the interest rate; you only need to know the beginning and ending balance. D. RussellPrint the PDF: Simple Interest Worksheet No. 3Use these word questions to continue practicing how to calculate simple interest. Students can also use this exercise to learn about the principal, rate of return (the net gain or loss on an investment over a specified time), and other terms commonly used in finance. D. RussellPrint the PDF: Simple Interest Worksheet No. 4Teach your students the basics of investing and how to determine which investments will pay the most over time. This worksheet will help your homeschoolers polish their calculating skills. D. RussellPrint the PDF: Simple Interest Worksheet No. 5Use this final worksheet to review the steps for calculating simple interest. Take time to answer questions your homeschoolers may have about how banks and investors use interest calculations.
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