Chemical Equation Balancer

Input:

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H He
Li Be B C N O F Ne
Na Mg Al Si P S Cl Ar
K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr
Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe
Cs Ba La-Lu Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn
Fr Ra Ac-Lr Rf Db Sg Bh Hs Mt Ds Rg Cn Nh Fl Mc Lv Ts Og
La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu
Ac Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr
Solid Liquid Gas Man-made Lanthanide Actinide

Chemical Equation Balancing

What is Chemical Equation Balancing?

Chemical equation balancing is the process of adjusting the coefficients of reactants and products in a chemical equation to ensure that the number of atoms of each element is equal on both sides. This process follows the law of conservation of mass, which states that matter cannot be created or destroyed in a chemical reaction.

How to Balance Chemical Equations

To balance a chemical equation, follow these steps:

  1. Write the unbalanced equation
  2. Count the atoms of each element on both sides
  3. Add coefficients to balance the atoms, starting with the most complex molecules
  4. Check that the number of atoms for each element is equal on both sides
  5. Simplify the coefficients if necessary

Formula

The general form of a balanced chemical equation is:

\[ aA + bB \rightarrow cC + dD \]

Where:

  • \(A\) and \(B\) are reactants, \(C\) and \(D\) are products
  • \(a\), \(b\), \(c\), and \(d\) are coefficients that balance the equation

Balancing Process

To balance a chemical equation, follow these steps:

  1. Identify the reactants and products
  2. Write the unbalanced equation
  3. Count the atoms of each element on both sides
  4. Add coefficients to balance the atoms, starting with the most complex molecules
  5. Verify that the number of atoms for each element is equal on both sides
  6. Simplify the coefficients if possible

Example: Balancing the Combustion of Methane

Let's apply these steps to balance the equation for the combustion of methane:

  1. Unbalanced equation: \[ CH_4 + O_2 \rightarrow CO_2 + H_2O \]
  2. Atom count:
    • Left side: 1 C, 4 H, 2 O
    • Right side: 1 C, 2 H, 3 O
  3. Balance H atoms by adding coefficient to H₂O: \[ CH_4 + O_2 \rightarrow CO_2 + 2H_2O \]
  4. Balance O atoms by adding coefficient to O₂: \[ CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O \]
  5. Final check:
    • Left side: 1 C, 4 H, 4 O
    • Right side: 1 C, 4 H, 4 O

The equation is now balanced, with equal numbers of each type of atom on both sides.

Example and Visual Representation

Let's visualize the balanced equation for the combustion of methane:

Reactants CH₄ + 2O₂ Products CO₂ + 2H₂O 1C, 4H, 4O 1C, 4H, 4O

This visual representation shows:

  • The balanced equation for the combustion of methane
  • The reactants (CH₄ and O₂) on the left side
  • The products (CO₂ and H₂O) on the right side
  • The arrow indicating the direction of the reaction
  • The number of atoms of each element (C, H, and O) on both sides, demonstrating that the equation is balanced

This example illustrates how balancing chemical equations ensures that the number of atoms of each element remains constant throughout the reaction, adhering to the law of conservation of mass.