H2S + H2O = H3O + HS - Chemical Equation Balancer - ChemicalAid
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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 + 0dStep 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
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-StepSimplify 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 + HSReactants | Products | ||
---|---|---|---|
H | 4 | 4 | ✔️ |
S | 1 | 1 | ✔️ |
O | 1 | 1 | ✔️ |
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