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Turn a reaction story into a clear chemical equation: reactants, products, coefficients, and state symbols.

---

## From Story to Equation

A chemical reaction equation is a compact way to record starting substances, products, and the relative particle counts that react. The IUPAC Gold Book describes reactants on the left, products on the right, and reaction symbols such as arrows in [chemical reaction equation](https://goldbook.iupac.org/terms/view/C01034).

The basic pattern looks like this.

```math
\text{Reactants} \rightarrow \text{Products}
```

Read the arrow as "yields". A plus sign means there is more than one substance on the same side.

## A Complete Methane Example

Start from an ordinary sentence: methane reacts with oxygen to produce carbon dioxide and water. Reactants go on the left, products go on the right.

| Step | Reaction form |
| :--- | :------------ |
| Reaction sentence | methane + oxygen $$\rightarrow$$ carbon dioxide + water |
| Starting formulas | $$\mathrm{CH_4} + \mathrm{O_2} \rightarrow \mathrm{CO_2} + \mathrm{H_2O}$$ |
| Balanced equation | $$\mathrm{CH_4} + 2\mathrm{O_2} \rightarrow \mathrm{CO_2} + 2\mathrm{H_2O}$$ |

Visible text: | Step | Reaction form |
| :--- | :------------ |
| Reaction sentence | methane + oxygen carbon dioxide + water |
| Starting formulas | |
| Balanced equation | |

The starting formulas are not balanced because the left side has only $$2$$ oxygen atoms, while the right side has $$3$$. After coefficients are placed, the count is clean.

Visible text: The starting formulas are not balanced because the left side has only oxygen atoms, while the right side has . After coefficients are placed, the count is clean.

| Element | Left | Right |
| :------ | :--- | :---- |
| $$\mathrm{C}$$ | $$1$$ | $$1$$ |
| $$\mathrm{H}$$ | $$4$$ | $$4$$ |
| $$\mathrm{O}$$ | $$4$$ | $$4$$ |

Visible text: | Element | Left | Right |
| :------ | :--- | :---- |
| | | |
| | | |
| | | |

The coefficients read as the ratio $$1:2:1:2$$. That means $$1$$ methane particle reacts with $$2$$ oxygen particles to produce $$1$$ carbon dioxide particle and $$2$$ water particles.

Visible text: The coefficients read as the ratio . That means methane particle reacts with oxygen particles to produce carbon dioxide particle and water particles.

Component: MethaneCombustionEquationLab
Props:
- title: Coefficients show molecule counts
- description: In the starting view, the left side shows reactants and the right side
shows products in the balanced equation.
- labels: {
moleculeView: "Methane combustion equation model",
reactants: "Reactants",
products: "Products",
equation: (
<>
Reactants: $$\mathrm{CH_4} + 2\mathrm{O_2}$$. Products: $$\mathrm{CO_2} + 2\mathrm{H_2O}$$. The $$\mathrm{C}$$, $$\mathrm{H}$$, and $$\mathrm{O}$$ atom counts stay the same on both sides.
</>
),
}
  Visible text: {
moleculeView: "Methane combustion equation model",
reactants: "Reactants",
products: "Products",
equation: (
<>
Reactants: . Products: . The , , and atom counts stay the same on both sides.
</>
),
}

## Coefficients Do Not Change Formulas

OpenStax Chemistry 2e emphasizes that atom counts come from multiplying coefficients by subscripts in [Writing and Balancing Chemical Equations](https://openstax.org/books/chemistry-2e/pages/4-1-writing-and-balancing-chemical-equations). Coefficients can change because they state relative amounts.

```math
\mathrm{CH_4} + 2\mathrm{O_2} \rightarrow \mathrm{CO_2} + 2\mathrm{H_2O}
```

The coefficient $$2$$ before $$\mathrm{O_2}$$ means two oxygen molecules. The subscript in $$\mathrm{O_2}$$ is part of the oxygen formula, so it must not be changed into $$\mathrm{O_4}$$.

Visible text: The coefficient before means two oxygen molecules. The subscript in is part of the oxygen formula, so it must not be changed into .

## State Symbols Come After Formulas

When the physical states are known, write the state symbol after each formula. For methane combustion, the complete equation can be written as:

```math
\mathrm{CH_4(g)} + 2\mathrm{O_2(g)} \rightarrow \mathrm{CO_2(g)} + 2\mathrm{H_2O(g)}
```

State symbols do not change atom counts. They only tell the reader the physical form of each substance during the reaction.

| Symbol | Read as | Example |
| :----- | :------ | :------ |
| $$\mathrm{(s)}$$ | solid | $$\mathrm{AgCl(s)}$$ |
| $$\mathrm{(l)}$$ | liquid | $$\mathrm{H_2O(l)}$$ |
| $$\mathrm{(g)}$$ | gas | $$\mathrm{CO_2(g)}$$ |
| $$\mathrm{(aq)}$$ | dissolved in water | $$\mathrm{NaCl(aq)}$$ |

Visible text: | Symbol | Read as | Example |
| :----- | :------ | :------ |
| | solid | |
| | liquid | |
| | gas | |
| | dissolved in water | |

## Read a Precipitate Example

Two clear solutions can form a new solid. For example, silver nitrate solution reacts with sodium chloride solution to produce a silver chloride precipitate.

```math
\mathrm{AgNO_3(aq)} + \mathrm{NaCl(aq)} \rightarrow \mathrm{AgCl(s)} + \mathrm{NaNO_3(aq)}
```

This equation is already balanced with the coefficient ratio $$1:1:1:1$$. The $$\mathrm{(s)}$$ on $$\mathrm{AgCl(s)}$$ helps us read that product as a solid.

Visible text: This equation is already balanced with the coefficient ratio . The on helps us read that product as a solid.

## Safe Writing Order

1. Write reactant names on the left and product names on the right.
2. Convert each substance name into the correct chemical formula.
3. Count each element on the left and right.
4. Adjust coefficients until the atoms balance.
5. Add state symbols when the information is available.

The most expensive mistake usually happens in step two. If the formula is wrong, an equation that looks balanced is still chemically wrong.