Balancing chemical equations

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Intros
Lessons
  1. Writing Chemical equations
  2. What is a chemical equation?
  3. What does the conservation of mass mean?
  4. A good method to balance equations quickly.
  5. A balancing mistake you need to avoid.
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Examples
Lessons
  1. Practice balancing equations.
    Balance the equation:

    H2_2SO4+_4 + NaOH \, \, Na2_2SO4+_4 + H2_2O
    1. Balance the equation:

      HCl+ + Mg(OH)2_2 \, \, MgCl2+_2 + H2_2O
      1. Balance the equation:

        C3_3H8+_8 + O2_2 \, \, CO2+_2 + H2_2O
        1. Balance the equation:

          Na2_2CO3+_3 + H3_3PO4_4 \, \, Na3_3PO4+_4 + CO2+_2 + H2_2O
          Topic Notes
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          Introduction to Balancing Chemical Equations

          Balancing chemical equations is a fundamental skill in chemistry that ensures the conservation of mass in chemical reactions. Our introductory video provides a crucial foundation for understanding this essential concept. The main objectives of this topic include recalling the principle of conservation of mass, learning the step-by-step process of balancing chemical equations, and gaining insight into specific reaction types such as combustion and neutralization. By mastering these skills, students will be able to accurately represent chemical reactions and predict the quantities of reactants and products involved. This knowledge is vital for solving stoichiometry problems and understanding more complex chemical processes. The ability to balance equations is not only important for academic success but also for practical applications in various scientific and industrial fields. Through practice and understanding, students will develop a strong foundation in chemical equation balancing, setting the stage for advanced chemistry concepts.

          Understanding Chemical Equations

          Chemical equations are fundamental tools in chemistry that provide a concise and standardized way to represent chemical reactions. These equations are essential for understanding and communicating the transformations that occur during chemical processes. They play a crucial role in various aspects of chemistry, from basic laboratory experiments to complex industrial processes.

          At its core, a chemical equation is a symbolic representation of chemical reactions. It shows the reactants (starting substances) on the left side of an arrow and the products (resulting substances) on the right side. This visual representation allows chemists to quickly grasp the nature of a reaction and the substances involved.

          There are two main types of chemical equations: word equations and chemical equations. Word equations use the names of substances to describe a reaction. For example, a word equation for the reaction between hydrogen and oxygen to form water would be: "Hydrogen + Oxygen Water". While word equations are useful for introducing basic concepts, they lack the precision and detail required for more advanced chemical analysis.

          Chemical equations, on the other hand, use chemical formulas to represent the substances involved in a reaction. These formulas provide specific information about the elements and their quantities in each molecule. Using the same example, the chemical equation would be: "2H + O 2HO". This equation not only shows the substances involved but also indicates the exact number of molecules or atoms participating in the reaction.

          Chemical formulas are integral to chemical equations. They use symbols and subscript numbers to represent the types and quantities of atoms in a molecule. For instance, HO represents a water molecule with two hydrogen atoms and one oxygen atom. These formulas allow chemists to balance equations, ensuring that the number of atoms on both sides of the equation is equal, as required by the law of conservation of mass.

          Basic Structure of Chemical Equations

          The basic structure of a chemical equation consists of three main components:

          1. Reactants: These are the starting substances in a chemical reaction. They are written on the left side of the equation.
          2. Arrow: An arrow () separates the reactants from the products, indicating the direction of the reaction.
          3. Products: These are the substances formed as a result of the reaction. They are written on the right side of the equation.

          For example, in the equation "2Na + Cl 2NaCl", sodium (Na) and chlorine (Cl) are the reactants, while sodium chloride (NaCl) is the product. The arrow indicates that the reactants combine to form the product.

          Chemical equations can also include additional information such as state symbols in chemical equations (s for solid, l for liquid, g for gas, aq for aqueous solution) and reaction conditions (temperature, pressure, catalysts). For instance, "2H(g) + O(g) 2HO(l)" provides more detail about the physical states of the substances involved.

          The importance of chemical equations in chemistry cannot be overstated. They serve as a universal language for chemists, allowing for clear communication of complex chemical processes. These equations are used to predict the outcomes of reactions, calculate quantities of substances needed or produced, and understand the stoichiometry of reactions.

          In conclusion, chemical equations are powerful tools that bridge the gap between conceptual understanding and practical application in chemistry. By mastering the use of chemical equations, including the proper representation of chemical formulas and the basic structure of reactants and products, chemists can effectively analyze, predict, and control chemical reactions in various scientific and industrial contexts.

          Conservation of Mass in Chemical Reactions

          The law of conservation of mass is a fundamental principle in chemistry that states matter cannot be created or destroyed in chemical reactions. This law, first proposed by Antoine Lavoisier in the 18th century, forms the basis for understanding chemical reactions and balancing equations. In essence, it means that the total mass of all substances involved in a chemical reaction remains constant throughout the process.

          To understand this concept, imagine atoms as indestructible building blocks. In chemical reactions, these building blocks are simply rearranged to form new structures, but their total number remains the same. It's like playing with Lego bricks: you can take apart a structure and build something new, but you'll always have the same number of bricks at the end.

          This principle is crucial in chemistry because it helps us predict and explain what happens during chemical reactions. When substances react, atoms from the reactants are redistributed to form products, but the total number of atoms of each element remains unchanged. For example, when hydrogen and oxygen combine to form water, the atoms are rearranged, but no atoms are lost or gained in the process.

          A simple analogy to illustrate this concept is a jigsaw puzzle. Imagine you have a completed puzzle representing the reactants in a chemical reaction. When you take the puzzle apart and rearrange the pieces to form a new picture, you're essentially mimicking a chemical reaction. The new picture represents the products, but you still have the same number of puzzle pieces as you started with.

          The law of conservation of mass plays a vital role in balancing chemical equations. When writing chemical equations, we must ensure that the number of atoms of each element is the same on both sides of the equation. This process, known as balancing equations, is a direct application of the conservation of mass principle.

          For instance, consider the reaction between methane (CH) and oxygen (O) to produce carbon dioxide (CO) and water (HO). The unbalanced equation would be:

          CH + O CO + HO

          To balance this equation, we need to adjust the coefficients (numbers in front of the molecules) to ensure the same number of atoms on both sides:

          CH + 2O CO + 2HO

          Now, we have 1 carbon atom, 4 hydrogen atoms, and 4 oxygen atoms on both sides of the equation, satisfying the law of conservation of mass.

          Understanding this law is crucial for chemists and students alike. It allows us to predict the quantities of products formed in reactions, calculate yields, and understand the stoichiometry of chemical processes. Moreover, it reinforces the idea that matter is neither created nor destroyed in chemical reactions, but merely transformed.

          In everyday life, we can observe the conservation of mass in various scenarios. For example, when you burn a piece of paper, it may seem like matter disappears as the paper turns to ash. However, if you could collect all the gases produced and weigh them along with the ash, you'd find that the total mass remains the same as the original paper.

          The law of conservation of mass also has implications beyond chemistry. It's a cornerstone of our understanding of the universe, supporting the idea that the total amount of matter in the cosmos remains constant. This concept extends to nuclear reactions, where mass can be converted to energy (and vice versa) according to Einstein's famous equation E=mc².

          In conclusion, the law of conservation of mass is a fundamental principle that governs chemical reactions and helps us understand the behavior of matter. By recognizing that atoms are neither created nor destroyed but merely rearranged in chemical processes, we can balance equations, predict reaction outcomes, and gain deeper insights into the nature of the physical world around us.

          Balancing Chemical Equations: Basic Principles

          Balancing chemical equations is a fundamental skill in chemistry that ensures the conservation of mass in chemical reactions. This process is essential for accurately representing how atoms and molecules interact during chemical changes. When we balance equations, we're making sure that the number of atoms of each element is the same on both sides of the equation, reflecting the fact that matter cannot be created or destroyed in a chemical reaction.

          The necessity of balancing equations stems from the law of conservation of mass in chemical reactions, which states that the total mass of the reactants must equal the total mass of the products in any chemical reaction. By balancing equations, we ensure that this principle is upheld and that our chemical representations are accurate and meaningful.

          To balance a chemical equation, we adjust the coefficients in front of the chemical formulas. These coefficients indicate the number of molecules or formula units of each substance involved in the reaction. It's important to note that we never change the subscripts within the chemical formulas themselves, as this would alter the identity of the compounds.

          Here's a step-by-step guide to balancing simple chemical equations:

          1. Write the unbalanced equation with the correct chemical formulas for all reactants and products.
          2. Count the number of atoms of each element on both sides of the equation.
          3. Begin with the most complex molecule or compound and balance the atoms that appear in only one reactant and one product.
          4. Continue balancing other elements, working from the most complex to the simplest.
          5. Balance any remaining elements, typically hydrogen and oxygen, last.
          6. Check that the number of atoms for each element is equal on both sides of the equation.
          7. Ensure that the coefficients are in their lowest whole-number ratio.

          Let's look at an example of an unbalanced equation:

          Fe + O2 Fe2O3

          In this unbalanced equation, we have:

          • 1 Fe atom on the left, 2 Fe atoms on the right
          • 2 O atoms on the left, 3 O atoms on the right

          To balance this equation, we adjust the coefficients:

          4Fe + 3O2 2Fe2O3

          Now, both sides have 4 Fe atoms and 6 O atoms, making the equation balanced.

          Another example of balancing a more complex equation:

          Unbalanced: C3H8 + O2 CO2 + H2O

          Balanced: C3H8 + 5O2 3CO2 + 4H2O

          In this case, we needed to adjust the coefficients for oxygen, carbon dioxide, and water to ensure that all atoms were balanced on both sides of the equation.

          Balancing chemical equations is crucial for several reasons:

          • It allows chemists to predict the quantities of reactants needed and products formed in a reaction.
          • It helps in understanding the stoichiometry of reactions, which is essential for quantitative analysis in chemistry.
          • It ensures that calculations based on the equation are accurate and meaningful.
          • It reinforces the concept of conservation of mass in chemical reactions.

          As you practice balancing equations, you'll develop a systematic approach that makes the process more intuitive. Remember that while the coefficients can be changed, the subscripts in chemical formulas must remain untouched. With time and practice, balancing chemical

          Advanced Balancing Techniques

          As we delve deeper into the world of chemical equations, we encounter more complex balancing scenarios that require advanced techniques. One such scenario involves equations with multiple products, which can be particularly challenging for students and even seasoned chemists. In this section, we'll explore these advanced balancing techniques, introduce the concept of coefficients, and highlight common mistakes to avoid.

          When dealing with equations that have multiple products, the key is to approach the balancing process systematically. Start by identifying all the elements present in the reactants and products. Then, begin balancing the most complex molecules or compounds first, working your way to the simpler ones. This approach often simplifies the process and reduces the likelihood of errors.

          Coefficients play a crucial role in balancing chemical equations. These are the numbers placed in front of chemical formulas to indicate the relative amounts of each substance involved in the reaction. When balancing equations, we adjust these coefficients to ensure that the number of atoms of each element is equal on both sides of the equation. It's important to note that coefficients affect the entire formula they precede, not just a single element within it.

          One common mistake to avoid when balancing equations is changing subscripts in chemical formulas. Subscripts are an integral part of the chemical formula and represent the number of atoms of an element within a molecule. Altering these subscripts would change the identity of the compound itself, which is not allowed in the balancing process. Instead, we use coefficients to adjust the number of molecules or formula units.

          Let's consider an example of a more challenging equation: the combustion of propane (C3H8). The unbalanced equation looks like this:

          C3H8 + O2 CO2 + H2O

          To balance this equation, we'll follow these steps:

          1. Balance carbon atoms: There are 3 carbon atoms on the left, so we need 3 CO2 on the right. C3H8 + O2 3CO2 + H2O

          2. Balance hydrogen atoms: There are 8 hydrogen atoms on the left, so we need 4 H2O on the right. C3H8 + O2 3CO2 + 4H2O

          3. Balance oxygen atoms: There are now 10 oxygen atoms on the right (6 in CO2 and 4 in H2O), so we need 5 O2 on the left. C3H8 + 5O2 3CO2 + 4H2O

          The final balanced equation is: C3H8 + 5O2 3CO2 + 4H2O

          Another advanced balancing technique involves dealing with equations that include polyatomic ions. These ions, such as sulfate (SO4^2-) or ammonium (NH4^+), should be treated as a single unit when balancing. For example, in the reaction between aluminum sulfate and barium chloride:

          Al2(SO4)3 + BaCl2 Al(Cl)3 + BaSO4

          Here, we need to balance not only the individual elements but also ensure that the polyatomic sulfate ion remains intact throughout the process.

          As you progress in your chemistry studies, you may encounter even more complex scenarios, such as redox reactions or equations involving fractional coefficients. These situations require additional techniques and considerations, but the fundamental principles of balancing remain the same: conserve atoms and adjust coefficients, not subscripts.

          In conclusion, mastering advanced balancing techniques is essential for tackling more complex chemical equations. By understanding the role of coefficients, avoiding common mistakes like altering subscripts, and approaching multi-product equations systematically, you'll be well-equipped to balance even the most challenging chemical equations. Remember, practice is key to becoming proficient in these advanced balancing techniques, so don't hesitate to work through numerous examples to hone your skills.

          Balancing Combustion and Neutralization Reactions

          Chemical reactions are fundamental processes in chemistry, and two important types are combustion and neutralization reactions. Understanding these reactions and how to balance their equations is crucial for students and professionals alike. In this section, we'll explore the characteristics of combustion and neutralization reactions, provide examples, and walk through the process of balancing their equations.

          Combustion reactions are exothermic processes that involve the rapid oxidation of a fuel, typically resulting in the production of heat and light. These reactions are characterized by the combination of a substance with oxygen, often from the air. The most common products of combustion reactions are carbon dioxide and water, although other products may form depending on the reactants involved.

          A typical example of a combustion reaction is the burning of methane gas:

          CH + O CO + HO

          To balance this combustion equation, we need to ensure that the number of atoms for each element is equal on both sides. In this case, we add coefficients:

          CH + 2O CO + 2HO

          When balancing combustion reactions, it's important to remember that oxygen is usually supplied in excess, so the coefficient for O may be larger than stoichiometrically necessary. For more complex fuels, such as hydrocarbons with multiple carbon atoms, the balancing process becomes more intricate but follows the same principles.

          Neutralization reactions, on the other hand, occur when an acid and a base react to form water and a salt. These reactions are characterized by the transfer of protons (H ions) from the acid to the base. The resulting solution typically has a pH close to 7, indicating neutrality.

          A common example of a neutralization reaction is the combination of hydrochloric acid and sodium hydroxide:

          HCl + NaOH NaCl + HO

          In this case, the equation is already balanced, as there is an equal number of atoms for each element on both sides. However, for more complex acids or bases, balancing may be necessary. For instance, consider the reaction between sulfuric acid and potassium hydroxide:

          HSO + KOH KSO + HO

          To balance this equation, we need to adjust the coefficients:

          HSO + 2KOH KSO + 2HO

          When balancing neutralization reactions, it's crucial to pay attention to the charges of the ions involved. The total positive and negative charges must be equal on both sides of the equation. Additionally, polyprotic acids (acids that can donate multiple protons) may require special consideration, as they can undergo stepwise neutralization.

          Both combustion and neutralization reactions play significant roles in various fields, from energy production to environmental science and industrial processes. Combustion reactions are essential in the burning of fossil fuels for energy, while neutralization reactions are crucial in waste treatment, agriculture, and the production of various chemicals.

          Balancing these equations is not only important for theoretical understanding but also for practical applications. In combustion reactions, proper balancing ensures efficient fuel use and helps predict the amount of products formed, which is crucial for environmental impact assessments. For neutralization reactions, accurate balancing is essential for determining the correct quantities of reactants needed in various chemical processes and for understanding the stoichiometry of acid-base interactions.

          In conclusion, mastering the art of balancing combustion and neutralization reactions is a fundamental skill in chemistry. By understanding the characteristics of these reactions and practicing equation balancing, students and professionals can gain valuable insights into chemical processes and their applications in the real world. Whether you're studying for an exam or working in a laboratory, these skills will prove invaluable in your chemical endeavors.

          Conclusion

          Mastering the art of balancing chemical equations is crucial for understanding chemical reactions. This article has covered the fundamental principles, step-by-step methods, and practical tips for balancing equations effectively. We've explored the importance of the law of conservation of mass and how it applies to understanding chemical reactions. Remember, practice is key to improving your skills in balancing chemical equations. We encourage you to revisit the introductory video for a visual reinforcement of these concepts. To further enhance your understanding, try working through additional examples and explore related topics in chemistry. By consistently applying these techniques, you'll develop a strong foundation in chemical equation balancing, which is essential for success in chemistry studies and beyond. Don't hesitate to seek additional resources or ask questions if you encounter challenges. Keep practicing, and soon you'll be confidently balancing even the most complex chemical equations!

          Writing Chemical Equations

          What is a chemical equation?

          Step 1: Introduction to Chemical Equations

          Hi there. Today we're going to be looking at balancing equations in chemical reactions. A chemical equation is a symbolic representation of a chemical reaction. It shows the reactants (the starting substances) and the products (the substances formed) in a reaction. Understanding chemical equations is fundamental in chemistry as it allows us to visualize and quantify the changes that occur during a chemical reaction.

          Step 2: Conservation of Mass

          Before diving into writing chemical equations, it's essential to recall the principle of the conservation of mass. This principle 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. This principle is crucial when balancing chemical equations to ensure that the same number of each type of atom appears on both sides of the equation.

          Step 3: Components of a Chemical Equation

          A chemical equation typically consists of the following components:

          • Reactants: The substances that undergo a chemical change. They are written on the left side of the equation.
          • Arrow: The arrow () indicates the direction of the reaction, pointing from reactants to products.
          • Products: The new substances formed as a result of the reaction. They are written on the right side of the equation.
          For example, in the reaction of hydrogen and oxygen to form water, the chemical equation is written as:
          2H2 + O2  2H2O

          Step 4: Word Equations

          A word equation is a way of describing a chemical reaction using the names of the reactants and products. For instance, the reaction between glucose and oxygen to produce carbon dioxide and water can be written as:

          Glucose + Oxygen  Carbon Dioxide + Water
          Word equations are useful for understanding the overall process of a reaction without delving into the specific chemical formulas.

          Step 5: Chemical Equations

          Chemical equations use chemical formulas to represent the reactants and products. This form is more precise and is commonly used in higher levels of chemistry. For example, the word equation for the reaction between glucose and oxygen can be written as a chemical equation:

          C6H12O6 + 6O2  6CO2 + 6H2O
          In this equation, C6H12O6 represents glucose, O2 represents oxygen, CO2 represents carbon dioxide, and H2O represents water.

          Step 6: Balancing Chemical Equations

          Balancing chemical equations involves ensuring that the number of each type of atom on the reactant side is equal to the number on the product side. This is done by adjusting the coefficients (the numbers in front of the chemical formulas) without changing the subscripts (the numbers within the chemical formulas). For example, to balance the equation for the combustion of methane:

          CH4 + 2O2  CO2 + 2H2O
          Here, the coefficients are adjusted to ensure that there are 4 hydrogen atoms, 4 oxygen atoms, and 1 carbon atom on both sides of the equation.

          Step 7: Practice and Application

          To master writing and balancing chemical equations, practice is essential. Start with simple reactions and gradually move to more complex ones. Utilize resources such as textbooks, online tutorials, and educational videos to reinforce your understanding. Remember, the key to success in chemistry is a solid grasp of the basics, including the ability to write and balance chemical equations accurately.

          FAQs

          1. What is the law of conservation of mass and how does it relate to balancing chemical equations?

            The law of conservation of mass states that matter cannot be created or destroyed in chemical reactions. In balancing chemical equations, this principle is applied by ensuring that the number of atoms of each element is equal on both sides of the equation. This process guarantees that the total mass of reactants equals the total mass of products, reflecting the conservation of matter during chemical reactions.

          2. Why is it important to balance chemical equations?

            Balancing chemical equations is crucial because it ensures that the law of conservation of mass is upheld, allows for accurate prediction of quantities of reactants needed and products formed, and provides a foundation for stoichiometric calculations. Balanced equations are essential for understanding reaction mechanisms, calculating yields, and solving complex chemistry problems.

          3. What are the basic steps to balance a chemical equation?

            The basic steps to balance a chemical equation are: 1) Write the unbalanced equation with correct formulas. 2) Count the atoms of each element on both sides. 3) Start with the most complex molecule and balance atoms appearing in one reactant and one product. 4) Continue balancing other elements, working from complex to simple. 5) Balance hydrogen and oxygen last. 6) Check that all atoms are equal on both sides. 7) Ensure coefficients are in their lowest whole-number ratio.

          4. How do you balance combustion reactions?

            To balance combustion reactions, start by balancing carbon atoms, then hydrogen, and finally oxygen. Remember that oxygen is usually supplied in excess. For example, in the combustion of methane (CH + O CO + HO), balance carbon first (1 CH 1 CO), then hydrogen (2 HO), and finally add enough O to balance oxygen atoms (2 O). The balanced equation becomes CH + 2O CO + 2HO.

          5. What are common mistakes to avoid when balancing chemical equations?

            Common mistakes to avoid include: changing subscripts in chemical formulas (which alters the compound's identity), forgetting to balance all elements, not reducing coefficients to their lowest whole-number ratio, and overlooking polyatomic ions in ionic compounds. Always double-check your work and ensure that the number of atoms for each element is equal on both sides of the equation.

          Prerequisite Topics for Balancing Chemical Equations

          Understanding the fundamentals of chemistry is crucial when approaching more complex topics like balancing chemical equations. Two key prerequisite topics that lay the groundwork for this skill are introduction to chemical reactions and state symbols and phase changes. These concepts are essential building blocks that will significantly enhance your ability to balance chemical equations accurately and efficiently.

          First and foremost, a solid grasp of chemical reactions is paramount. This foundational knowledge helps you understand the nature of chemical changes, reactants, and products. When balancing equations, you'll need to identify the substances involved in the reaction and their chemical formulas. Without this basic understanding, it would be challenging to even begin the balancing process.

          Moreover, familiarity with chemical reactions allows you to recognize different types of reactions, such as synthesis, decomposition, or displacement. This knowledge is invaluable when predicting the products of a reaction and setting up the initial unbalanced equation. As you delve deeper into balancing equations, you'll find that recognizing reaction types can often provide clues about how to approach the balancing process.

          Equally important is the understanding of state symbols and phase changes in chemical equations. These concepts are crucial for accurately representing the physical states of reactants and products in balanced equations. Knowing whether a substance is in solid, liquid, gas, or aqueous form is not just about notation it can significantly impact how you approach the balancing process.

          State symbols provide valuable information about the reaction conditions and can influence the stoichiometry of the equation. For instance, reactions involving gases might require consideration of molar volumes, while those with aqueous solutions might involve dissociation of ions. Understanding phase changes can also help you anticipate potential complications in balancing, such as when dealing with reactions that involve changes in physical states.

          By mastering these prerequisite topics, you'll develop a more intuitive understanding of chemical equations. This foundation will enable you to approach the task of balancing equations with greater confidence and accuracy. You'll be better equipped to visualize the molecular-level processes occurring in reactions, making it easier to ensure that atoms are conserved on both sides of the equation.

          In conclusion, the journey to mastering the art of balancing chemical equations begins with a solid understanding of chemical reactions and state symbols. These prerequisite topics provide the necessary context and tools to tackle more advanced chemical concepts. By investing time in these fundamental areas, you'll build a strong foundation that will serve you well throughout your chemistry studies and beyond.

          In this lesson, we will learn:
          • To recall the conservation of mass and understand its meaning in chemical reactions.
          • How to balance chemical equations including combustion and neutralization reactions.
          • How to construct full chemical equations with known chemical formulae.

          Notes:
          • During chemical reactions, atoms are not created or destroyed, they are simply rearranged by breaking and forming bonds. This process is how chemical compounds are reacted to make different chemical compounds.

          • This means the number of atoms of each element is exactly the same in the reactants and the products. You can use this information to check if an equation is balanced or not.

          • The following rules need to be followed when balancing equations:
            • Balancing step 1: Start with an element in the equation with only one input in the reactants and only one output in the products. Balance this first using coefficients.
            • Balancing step 2: Once all these elements in step 1 are balanced, then balance the elements with more than one input or output.
            • Balancing step 3: Count the number of atoms of each element in the products and the reactants. THEY MUST MATCH. If the number of atoms on both sides of the equations are not the same, your equation is not balanced.

          • You CANNOT change the formula of a compound to balance an equation! You can only change the coefficient, the large number that goes in front of the chemical formula. See the illustrations below:
          • how to balance an equation? part 1


            how to balance an equation? part 2