C_{2}H_{5}OH + HCl → C_{2}H_{5}Cl + H_{2}O

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### Word Equation

Ethanol + Hydrogen Chloride = Chloroethane + Water

One mole of

and one mole of

react vĩ đại form one mole of

and one mole of

### Reaction Expressions

K_{c} or Q = ( [C_{2}H_{5}Cl] [H_{2}O] ) / ( [C_{2}H_{5}OH] [HCl] )

(assuming all reactants and products are aqueous. substitutue 1 for any solids/liquids, and Psubstance for gases.)

rate = -(Δ[C_{2}H_{5}OH] / Δt) = -(Δ[HCl] / Δt) = (Δ[C_{2}H_{5}Cl] / Δt) = (Δ[H_{2}O] / Δt)

(assuming constant volume in a closed system and no accumulation of intermediates or side products)

## Instructions

To balance a chemical equation, enter an equation of a chemical reaction and press the Balance button. The balanced equation will appear above.

- Use uppercase for the first character in the element and lowercase for the second character. Examples: Fe, Au, Co, Br, C, O, N, F.
- Ionic charges are not yet supported and will be ignored.
- Replace immutable groups in compounds vĩ đại avoid ambiguity. For example, C6H5C2H5 + O2 = C6H5OH + CO2 + H2O will not be balanced, but XC2H5 + O2 = XOH + CO2 + H2O will.
- Compound states [like (s) (aq) or (g)] are not required.
- You can use parenthesis () or brackets [].

## How To Balance Equations

Read our article on how vĩ đại balance chemical equations or ask for help in our chat.

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## Balance C2H5OH + HCl = C2H5Cl + H2O Using the Algebraic Method

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To balance the equation C2H5OH + HCl = C2H5Cl + H2O using the algebraic method step-by-step, you must have experience solving systems of linear equations. The most common methods are substitution/elimination and linear algebra, but any similar method will work.

### Label Each Compound With a Variable

Label each compound (reactant or product) in the equation with a variable vĩ đại represent the unknown coefficients.

a C

_{2}H_{5}OH + b HCl = c C_{2}H_{5}Cl + d H_{2}O### Create a System of Equations

Create an equation for each element (C, H, O, Cl) where each term represents the number of atoms of the element in each reactant or product.

**C**: 2a + 0b = 2c + 0d**H**: 6a + 1b = 5c + 2d**O**: 1a + 0b = 0c + 1d**Cl**: 0a + 1b = 1c + 0d### Solve For All Variables

Use substitution, Gaussian elimination, or a calculator vĩ đại solve for each variable.

- 2a - 2c = 0
- 6a + 1b - 5c - 2d = 0
- 1a - 1d = 0
- 1b - 1c = 0

Use your graphing calculator's rref() function (or an online rref calculator) vĩ đại convert the following matrix into reduced row-echelon-form:

[ 2 0 -2 0 0] [ 6 1 -5 -2 0] [ 1 0 0 -1 0] [ 0 1 -1 0 0]

The resulting matrix can be used vĩ đại determine the coefficients. In the case of a single solution, the last column of the matrix will contain the coefficients.

Simplify the result vĩ đại get the lowest, whole integer values.

- a = 1 (C2H5OH)
- b = 1 (HCl)
- c = 1 (C2H5Cl)
- d = 1 (H2O)

### Substitute Coefficients and Verify Result

Count the number of atoms of each element on each side of the equation and verify that all elements and electrons (if there are charges/ions) are balanced.

C

_{2}H_{5}OH + HCl = C_{2}H_{5}Cl + H_{2}OReactants Products C 2 2 ✔️ H 7 7 ✔️ O 1 1 ✔️ Cl 1 1 ✔️ Since there is an equal number of each element in the reactants and products of C2H5OH + HCl = C2H5Cl + H2O, the equation is balanced.

## Balance C2H5OH + HCl = C2H5Cl + H2O Using Inspection

The law of conservation of mass states that matter cannot be created or destroyed, which means there must be the same number atoms at the over of a chemical reaction as at the beginning. To be balanced, every element in C2H5OH + HCl = C2H5Cl + H2O must have the same number of atoms on each side of the equation. When using the inspection method (also known as the trial-and-error method), this principle is used vĩ đại balance one element at a time until both sides are equal and the chemical equation is balanced.

### 1. Count the number of each element on the left and right hand sides

Reactants (Left Hand Side) | Products (Right Hand Side) | ||||||
---|---|---|---|---|---|---|---|

Reactants | Products | ||||||

C_{2}H_{5}OH | HCl | Total | C_{2}H_{5}Cl | H_{2}O | Total | ||

C | 2 | 2 | 2 | 2 | ✔️ | ||

H | 6 | 1 | 7 | 5 | 2 | 7 | ✔️ |

O | 1 | 1 | 1 | 1 | ✔️ | ||

Cl | 1 | 1 | 1 | 1 | ✔️ |

The number of atoms of each element on both sides of C2H5OH + HCl = C2H5Cl + H2O is equal which means that the equation is already balanced and no additional work is needed.

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