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