Problem 19
Question
When balancing a chemical reaction, what numbers can be changed? When balancing chemical equations which scientific law is being used?
Step-by-Step Solution
Verified Answer
Only the coefficients in front of the chemical formulas can be changed when balancing chemical equations. The Law of Conservation of Mass is the scientific principle applied during the balancing process.
1Step 1: Identify Changeable Numbers
When balancing chemical equations, only the coefficients (the numbers in front of the chemical formulas) can be changed to achieve balance. It is not permissible to change the subscripts within a chemical formula because this would change the compounds themselves.
2Step 2: Understand the Scientific Law
The scientific law being used when balancing chemical equations is the Law of Conservation of Mass. This law states that mass is neither created nor destroyed in a chemical reaction. Therefore, the mass of the reactants must equal the mass of the products, which is why chemical equations must be balanced.
Key Concepts
Coefficients in Chemical ReactionsLaw of Conservation of MassChemical Reaction Stoichiometry
Coefficients in Chemical Reactions
One of the absolute essentials when it comes to understanding chemical reactions is grasping how coefficients are used. Coefficients are the numerical values placed before the chemical formulas in a balanced chemical equation. They denote the number of units of each substance involved in the reaction.
Take for example the simple reaction of hydrogen and oxygen combining to form water. Without coefficients, the equation would incorrectly be written as \( H_2 + O_2 = H_2O \). However, to accurately represent the reaction, coefficients need to be adjusted so that the same number of atoms are present on both sides. The balanced equation is written as \( 2H_2 + O_2 = 2H_2O \).Here, 2 is the coefficient indicating that two molecules of hydrogen gas are needed to react with one molecule of oxygen gas to produce two molecules of water.
Take for example the simple reaction of hydrogen and oxygen combining to form water. Without coefficients, the equation would incorrectly be written as \( H_2 + O_2 = H_2O \). However, to accurately represent the reaction, coefficients need to be adjusted so that the same number of atoms are present on both sides. The balanced equation is written as \( 2H_2 + O_2 = 2H_2O \).Here, 2 is the coefficient indicating that two molecules of hydrogen gas are needed to react with one molecule of oxygen gas to produce two molecules of water.
Importance of Correct Coefficients
Using correct coefficients ensures that the stoichiometry, the quantitative relationship between reactants and products in a chemical reaction, is accurate. If the coefficients were not correct, it would indicate a misrepresentation of the substance amounts, which is critical for calculations in chemical reactions. This careful tuning of coefficients helps us understand reaction yields, reactant ratios, and other crucial aspects of chemical processes.Law of Conservation of Mass
The backbone of balancing chemical equations lies in the Law of Conservation of Mass. This fundamental principle asserts that mass is neither created nor destroyed in a chemical reaction. It has profound implications for the way we view reactions in the realm of chemistry as well as for the universe's behavior at large.
For instance, consider burning a piece of wood. The wood transforms, producing ash, heat, and gases. Even though the appearance and structure of the items have changed, the total mass remains constant throughout the process, despite any transformation or transition in phase.
When we balance a chemical equation, we are making sure that the mass of the reactants going into the reaction is equal to the mass of the products generated. This does not limit to counting atoms but also considering their mass. The precisely balanced equation reflects this conservation, facilitating accurate experimental design and prediction of outcomes in chemical research and industry. Without adherence to this law, calculated quantities used in reactions would be unreliable, compromising the integrity of scientific endeavors.
For instance, consider burning a piece of wood. The wood transforms, producing ash, heat, and gases. Even though the appearance and structure of the items have changed, the total mass remains constant throughout the process, despite any transformation or transition in phase.
When we balance a chemical equation, we are making sure that the mass of the reactants going into the reaction is equal to the mass of the products generated. This does not limit to counting atoms but also considering their mass. The precisely balanced equation reflects this conservation, facilitating accurate experimental design and prediction of outcomes in chemical research and industry. Without adherence to this law, calculated quantities used in reactions would be unreliable, compromising the integrity of scientific endeavors.
Chemical Reaction Stoichiometry
At the heart of balancing equations is chemical reaction stoichiometry, which outlines the quantitative relationship between reactants and products in a chemical process. It's a critical aspect of chemistry that enables chemists to calculate amounts of reactants required and the amounts of products formed.
Imagine baking a cake, where the recipe calls for specific quantities of ingredients. Just like that, stoichiometry provides the 'recipe' for a chemical reaction, specifying the precise proportions of all involved substances. By adhering to stoichiometric ratios, a balanced equation ensures that atoms are neither wasted nor deficient throughout the reaction.
Imagine baking a cake, where the recipe calls for specific quantities of ingredients. Just like that, stoichiometry provides the 'recipe' for a chemical reaction, specifying the precise proportions of all involved substances. By adhering to stoichiometric ratios, a balanced equation ensures that atoms are neither wasted nor deficient throughout the reaction.
Practical Applications
In practice, stoichiometry applies to various scenarios such as determining the optimal fuel-to-oxygen ratio in combustion engines or the appropriate doses of chemical reagents in pharmaceutical preparations. It's not just about getting the right amounts but also about understanding the interplay between different substances, which can influence reaction rates, yields, and even safety considerations in labs and industrial processes.Other exercises in this chapter
Problem 15
Why can percentage composition be used to determine empirical formula, but not molecular formula?
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Why can percentage composition be used to determine empirical formula, but not molecular formula?
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Give a step-by-step procedure for estimating the number of grams of \(A\) required to completely react with 10 moles of \(B\), given the following information:
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A mixture of \(0.020 \mathrm{~mol}\) of \(\mathrm{Mg}\) and \(0.020 \mathrm{~mol}\) of \(\mathrm{Cl}_{2}\) reacted completely to form \(\mathrm{MgCl}_{2}\) acco
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