# c6h5oh hno3

To balance the equation C6H5OH + HNO3 = C6H2(NO2)3OH + 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.

Bạn đang xem: c6h5oh hno3

### 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.

a C6H5OH + b HNO3 = c C6H2(NO2)3OH + d H2O

### Step 2: Create a System of Equations

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

C: 6a + 0b = 6c + 0d H: 6a + 1b = 3c + 2d O: 1a + 3b = 7c + 1d N: 0a + 1b = 3c + 0d

### Step 3: Solve For All Variables

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

• 6a - 6c = 0
• 6a + 1b - 3c - 2d = 0
• 1a + 3b - 7c - 1d = 0
• 1b - 3c = 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: ancol etylic ra etilen

[ 6 0 -6 0 0] [ 6 1 -3 -2 0] [ 1 3 -7 -1 0] [ 0 1 -3 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.

• a = 1 (C6H5OH)
• b = 3 (HNO3)
• c = 1 (C6H2(NO2)3OH)
• d = 3 (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.

C6H5OH + 3 HNO3 = C6H2(NO2)3OH + 3 H2O

Reactants Products C 6 6 ✔️ 9 9 ✔️ 10 10 ✔️ 3 3 ✔️

Since there is an equal number of each element in the reactants and products of C6H5OH + 3HNO3 = C6H2(NO2)3OH + 3H2O, the equation is balanced.

Xem thêm: sio2 + c