## Word Equation

*Copper hydroxide → Cupric oxide + Water*

## Input Interpretation

*Cu(OH)2 → CuO + H2O*

Copper hydroxide, Cupric oxide, Water

## Balanced Equation

To balance the chemical equation algebraically, we need to add stoichiometric coefficients, c, to the reactants and products:

*c1 Cu(OH)2 → c2 CuO + c3 H2O*

We then set the number of atoms in the reactants equal to the number of atoms in the products for Cu, H, and O:

*Cu: c1 = c2*

*H: 2c1 = 2c3*

*O: 2c1 = c2 + c3*

Since the coefficients are relative quantities and underdetermined, we choose a coefficient to set arbitrarily. To keep the coefficients small, the arbitrary value is ordinarily one. For instance, we can set c1 = 1 and solve the system of equations for the remaining coefficients:

*c1 = 1, c2 = 1, c3 = 1*

Substituting the coefficients into the chemical reaction, we obtain the balanced equation:

*Cu(OH)2 → CuO + H2O*