fecl2+cl2

To balance the equation FeCl2 + Cl2 = FeCl3 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.

Step 1: Label Each Compound With a Variable

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

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a FeCl2 + b Cl2 = c FeCl3

Step 2: Create a System of Equations

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

Fe:	1a	+	0b	=	1c
Cl:	2a	+	2b	=	3c

Step 3: Solve For All Variables

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

  • 1a - 1c = 0
  • 2a + 2b - 3c = 0

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

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

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

Simplify the result lớn get the lowest, whole integer values.

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  • a = 2 (FeCl2)
  • b = 1 (Cl2)
  • c = 2 (FeCl3)

Step 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.

2 FeCl2 + Cl2 = 2 FeCl3

Reactants Products
Fe22✔️
Cl66✔️

Since there is an equal number of each element in the reactants and products of 2FeCl2 + Cl2 = 2FeCl3, the equation is balanced.