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Assignment Overview
This week's project focuses on using Algebra to explore the deep meaning of equal sign, coefficients, and variables. This purpose is achieved through the application of systems of linear equation to balance chemical reactions. This task is particularly important for all those learners that will have to take Chemistry in their curriculum. However, the ability to choose the right coefficients and equations is pivotal in making correct data driven decisions, independently of your field of study or career.
Analyze the Solutions(s) of the System
Use Table 1 to select the chemical reaction based off the last digit of your student ID then perform the following:
- Represent the balancing problem as a system of linear equations.
- From a mathematical perspective, how many solutions do you expect the system to have?
- How do you choose a solution?
- Set up the system in matrix form to be solved in MS Excel (see the many resources on internet on solving a system of linear equations using MS Excel) and solve the system using MS Excel.
- Write the balanced chemical reaction.
- Try and balance the reaction using intuition rather than a mathematical procedure.
- Discuss the benefits and limits of the two approaches (algebraic and intuitive) when balancing equations. (Choose 8)
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Last Digit of Student Id
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Chemical Reaction
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0
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Li3N + NH4NO3→ LiNO3 + (NH4)3N
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1
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C5H12 + O2→ CO2 + H2O
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2
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KOH + H2SO4 → K2SO4 + H2O
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3
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NH3 + H2SO4 → (NH4)2SO4
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4
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FeS2 + Cl2→ FeCl3 + S2Cl2
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5
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MgCl2 + Li2CO3→ MgCO3 + LiCl
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6
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C4H6O3 + H2O → C2H4O2
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7
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Na3PO4 + KOH → NaOH + K3PO4
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8
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C7H16 + O2→ CO2 + H2O
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9
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NaBr + Ca(OH)2→ CaBr2 + NaOH
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Table 1: choose appropriate reaction for Project 5 based off last digit of student ID.
While GCU format is not required for the this assignment, solid academic writing is expected, and documentation of sources should be presented using GCU formatting guidelines, which can be found in the GCU Style Guide, located in the Student Success Center.
Attachment:- Assignment.rar