H2S + H2O = H3O + HS - Chemical Equation Balancer - ChemicalAid

To balance the equation H2S + H2O = H3O + HS 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 represent the unknown coefficients.

a H2S + b H2O = c H3O + d HS

Step 2: Create a System of Equations

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

H: 2a + 2b = 3c + 1d S: 1a + 0b = 0c + 1d O: 0a + 1b = 1c + 0d

Step 3: Solve For All Variables

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

Using Substitution or Elimination
  • 2a + 2b - 3c - 1d = 0
  • 1a - 1d = 0
  • 1b - 1c = 0
Using Linear Systems / Algebra

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

[ 2 2 -3 -1 0] [ 1 0 0 -1 0] [ 0 1 -1 0 0] The resulting matrix can be used to determine the coefficients. In the case of a single solution, the last column of the matrix will contain the coefficients. Convert to RREF and Solve Step-by-Step

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

  • a = 1 (H2S)
  • b = 1 (H2O)
  • c = 1 (H3O)
  • d = 1 (HS)

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.

H2S + H2O = H3O + HS
Reactants Products
H44✔️
S11✔️
O11✔️
Since there is an equal number of each element in the reactants and products of H2S + H2O = H3O + HS, the equation is balanced.

Từ khóa » H2s + H2o ⇌ H3o+ + Hs-