# cufes2 + o2 = cu2s + so2 + fe2o3

4CuFeS2 + 9O22Cu2S + 6SO2 + 2Fe2O3

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### Word Equation

Chalcopyrite + Dioxygen = Chalcocite + Sulfur Dioxide + Hematite

Four moles of

Chalcopyrite [CuFeS2]

and nine moles of

Dioxygen [O2]

react to tát form two moles of

Chalcocite [Cu2S]

, six moles of

Sulfur Dioxide [SO2]

and two moles of

Hematite [Fe2O3]

• ### Sulfur Dioxide - SO2

Sulphur Dioxide R-764 Sulfurous Anhydride So2 Sulphur Dioxide , Sulfur Dioxide Sulfur Oxide Sulfurous Oxide Sulfurous Acid Anhydride SO2 Molar Mass SO2 Oxidation Number

### Reaction Expressions

Kc or Q = ( [Cu2S]2 [SO2]6 [Fe2O3]2 ) / ( [CuFeS2]4 [O2]9 )

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

rate = -1/4 * (Δ[CuFeS2] / Δt) = -1/9 * (Δ[O2] / Δt) = 50% * (Δ[Cu2S] / Δt) = 1/6 * (Δ[SO2] / Δt) = 50% * (Δ[Fe2O3] / 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 to tát 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 to tát balance chemical equations or ask for help in our chat.

You can also ask for help in our chat or forums.

## Balance CuFeS2 + O2 = Cu2S + SO2 + Fe2O3 Using the Algebraic Method

To balance the equation CuFeS2 + O2 = Cu2S + SO2 + Fe2O3 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.

1. ### Label Each Compound With a Variable

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

a CuFeS2 + b O2 = c Cu2S + d SO2 + f Fe2O3

2. ### Create a System of Equations

Create an equation for each element (Cu, Fe, S, O) where each term represents the number of atoms of the element in each reactant or product.

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Cu: 1a + 0b = 2c + 0d + 0f Fe: 1a + 0b = 0c + 0d + 2f S: 2a + 0b = 1c + 1d + 0f O: 0a + 2b = 0c + 2d + 3f

3. ### Solve For All Variables

Use substitution, Gaussian elimination, or a calculator to tát solve for each variable.

• 1a - 2c = 0
• 1a - 2f = 0
• 2a - 1c - 1d = 0
• 2b - 2d - 3f = 0

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

[ 1 0 -2 0 0 0] [ 1 0 0 0 -2 0] [ 2 0 -1 -1 0 0] [ 0 2 0 -2 -3 0]

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

Simplify the result to tát get the lowest, whole integer values.

• a = 4 (CuFeS2)
• b = 9 (O2)
• c = 2 (Cu2S)
• d = 6 (SO2)
• f = 2 (Fe2O3)
4. ### 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.

4 CuFeS2 + 9 O2 = 2 Cu2S + 6 SO2 + 2 Fe2O3

Reactants Products Cu 4 4 ✔️ 4 4 ✔️ 8 8 ✔️ 18 18 ✔️

Since there is an equal number of each element in the reactants and products of 4CuFeS2 + 9O2 = 2Cu2S + 6SO2 + 2Fe2O3, the equation is balanced.

## Balance CuFeS2 + O2 = Cu2S + SO2 + Fe2O3 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 CuFeS2 + O2 = Cu2S + SO2 + Fe2O3 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 to tát 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)
ReactantsProducts
CuFeS2O2TotalCu2SSO2Fe2O3Total
Cu1122
Fe1122
S22112✔️
O22235

### 2. Multiply coefficients for compounds to tát balance out each element

For each element that is not equal, try to tát balance it by adding more of it to tát the side with less. Sometimes there may be multiple compounds with that element on one side, sánh you'll need to tát use your best judgement and be prepared to tát go back and try the other options.

1. Cu is not balanced. Add 1 molecule of CuFeS2 to tát the reactant (left-hand) side to tát balance Copper:
2CuFeS2 + O2 = Cu2S + SO2 + Fe2O3

ReactantsProducts
Cu22✔️
Fe22✔️
S42
O25
2. S is not balanced. Add 1 molecule of Cu2S to tát the product (right-hand) side to tát balance Sulfur:
2CuFeS2 + O2 = 2Cu2S + SO2 + Fe2O3

ReactantsProducts
Cu24
Fe22✔️
S43
O25
3. Cu is not balanced. Add 2 molecules of CuFeS2 to tát the reactant (left-hand) side to tát balance Copper:
4CuFeS2 + O2 = 2Cu2S + SO2 + Fe2O3

ReactantsProducts
Cu44✔️
Fe42
S83
O25
4. Fe is not balanced. Add 1 molecule of Fe2O3 to tát the product (right-hand) side to tát balance Iron:
4CuFeS2 + O2 = 2Cu2S + SO2 + 2Fe2O3

ReactantsProducts
Cu44✔️
Fe44✔️
S83
O28
5. S is not balanced. Add 5 molecules of SO2 to tát the product (right-hand) side to tát balance Sulfur:
4CuFeS2 + O2 = 2Cu2S + 6SO2 + 2Fe2O3

ReactantsProducts
Cu44✔️
Fe44✔️
S88✔️
O218
6. O is not balanced. Add 8 molecules of O2 to tát the reactant (left-hand) side to tát balance Oxygen:
4CuFeS2 + 9O2 = 2Cu2S + 6SO2 + 2Fe2O3

ReactantsProducts
Cu44✔️
Fe44✔️
S88✔️
O1818✔️

### 3. Verify that the equation is balanced

Since there are an equal number of atoms of each element on both sides, the equation is balanced.

4CuFeS2 + 9O2 = 2Cu2S + 6SO2 + 2Fe2O3

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