To balance the equation C2H2 + H2 = C2H6 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 đồ sộ represent the unknown coefficients.
Bạn đang xem: c 2 h 2 ra c 2 h 6
a C2H2 + b H2 = c C2H6
Step 2: Create a System of Equations
Create an equation for each element (C, H) where each term represents the number of atoms of the element in each reactant or product.
C: 2a + 0b = 2c H: 2a + 2b = 6c
Step 3: Solve For All Variables
Use substitution, Gaussian elimination, or a calculator đồ sộ solve for each variable.
- 2a - 2c = 0
- 2a + 2b - 6c = 0
Use your graphing calculator's rref() function (or an online rref calculator) đồ sộ convert the following matrix into reduced row-echelon-form:
Xem thêm: pha dao động dùng để xác định
[ 2 0 -2 0] [ 2 2 -6 0]
The resulting matrix can be used đồ sộ determine the coefficients. In the case of a single solution, the last column of the matrix will contain the coefficients.
Simplify the result đồ sộ get the lowest, whole integer values.
Xem thêm: người ở bến sông châu tóm tắt
- a = 1 (C2H2)
- b = 2 (H2)
- c = 1 (C2H6)
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.
C2H2 + 2 H2 = C2H6
Since there is an equal number of each element in the reactants and products of C2H2 + 2H2 = C2H6, the equation is balanced.