# naoh ra naclo

To balance the equation Cl2 + NaOH = NaCl + NaClO + 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.

### Step 1: Label Each Compound With a Variable

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

Bạn đang xem: naoh ra naclo

a Cl2 + b NaOH = c NaCl + d NaClO + f H2O

### Step 2: Create a System of Equations

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

```Cl:	2a	+	0b	=	1c	+	1d	+	0f
Na:	0a	+	1b	=	1c	+	1d	+	0f
O:	0a	+	1b	=	0c	+	1d	+	1f
H:	0a	+	1b	=	0c	+	0d	+	2f

```

### Step 3: Solve For All Variables

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

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

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

Xem thêm: nêu ý nghĩa của văn minh đại việt

```[ 2	 0	-1	-1	 0	0]
[ 0	 1	-1	-1	 0	0]
[ 0	 1	 0	-1	-1	0]
[ 0	 1	 0	 0	-2	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.

Xem thêm: phân tích ý nghĩa văn minh đại việt

• a = 1 (Cl2)
• b = 2 (NaOH)
• c = 1 (NaCl)
• d = 1 (NaClO)
• f = 1 (H2O)

### 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.

Cl2 + 2 NaOH = NaCl + NaClO + H2O

Reactants Products Cl 2 2 ✔️ 2 2 ✔️ 2 2 ✔️ 2 2 ✔️

Since there is an equal number of each element in the reactants and products of Cl2 + 2NaOH = NaCl + NaClO + H2O, the equation is balanced.