CH3COOH + CaCO3 = (CH3COO)2Ca + H2O + CO2 - Chemical Equation Balancer

To balance the equation CH3COOH + CaCO3 = (CH3COO)2Ca + H2O + CO2 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 tướng represent the unknown coefficients.

Bạn đang xem: ch3cooh + caco3

a CH₃COOH + b CaCO₃ = c (CH₃COO)₂Ca + d H₂O + f CO₂

Step 2: Create a System of Equations

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

C:	2a	+	1b	=	4c	+	0d	+	1f
H:	4a	+	0b	=	6c	+	2d	+	0f
O:	2a	+	3b	=	4c	+	1d	+	2f
Ca:	0a	+	1b	=	1c	+	0d	+	0f

Step 3: Solve For All Variables

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

2a + 1b - 4c - 1f = 0
4a - 6c - 2d = 0
2a + 3b - 4c - 1d - 2f = 0
1b - 1c = 0

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

Xem thêm: có yolksac bào lâu thì có phôi thai

[ 2	 1	-4	 0	-1	0]
[ 4	 0	-6	-2	 0	0]
[ 2	 3	-4	-1	-2	0]
[ 0	 1	-1	 0	 0	0]

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

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

Xem thêm: các bài luận mẫu

a = 2 (CH3COOH)
b = 1 (CaCO3)
c = 1 ((CH3COO)2Ca)
d = 1 (H2O)
f = 1 (CO2)

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 CH₃COOH + CaCO₃ = (CH₃COO)₂Ca + H₂O + CO₂