Fe3O4 + NaOH = Fe(OH)2 + Fe(OH)3 + Na2O - Chemical Equation Balancer

To balance the equation Fe3O4 + NaOH = Fe(OH)2 + Fe(OH)3 + Na2O 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 to tát represent the unknown coefficients.

Bạn đang xem: fe3o4 + naoh

a Fe₃O₄ + b NaOH = c Fe(OH)₂ + d Fe(OH)₃ + f Na₂O

Step 2: Create a System of Equations

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

Fe:	3a	+	0b	=	1c	+	1d	+	0f
O:	4a	+	1b	=	2c	+	3d	+	1f
Na:	0a	+	1b	=	0c	+	0d	+	2f
H:	0a	+	1b	=	2c	+	3d	+	0f

Step 3: Solve For All Variables

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

3a - 1c - 1d = 0
4a + 1b - 2c - 3d - 1f = 0
1b - 2f = 0
1b - 2c - 3d = 0

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

Xem thêm: the increase in earth's temperature can cause heat related illnesses

[ 3	 0	-1	-1	 0	0]
[ 4	 1	-2	-3	-1	0]
[ 0	 1	 0	 0	-2	0]
[ 0	 1	-2	-3	 0	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.

Xem thêm: tiếng anh 8 tập 1

a = 1 (Fe3O4)
b = 8 (NaOH)
c = 1 (Fe(OH)2)
d = 2 (Fe(OH)3)
f = 4 (Na2O)

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.

Fe₃O₄ + 8 NaOH = Fe(OH)₂ + 2 Fe(OH)₃ + 4 Na₂O