### Word equation

*iodoform + silver nitrate + water → nitric acid + carbon monoxide + silver(I) *

* iodide*

### Input interpretation

* CHI3 + AgNO3 + H2O → HNO3 + CO + Agi*

* Iodoform silver nitrate water nitric acid carbon monoxide silver(1) iodide*

### Balanced equation

Balance the chemical equation algebraically:

* CHI3 + AgNO3 + H2O → HNO3 + CO + Agi*

Add stoichiometric coefficients, c1, to the reactants and products:

* c1CHI3 + c2AgNO3 + c3 H2O → c4 HNO3 + c5CO + c6Agi*

Set the number of atoms in the reactants equal to the number of atoms in the products for** C, H, I, Ag, N **and

*O:**C: c1 = c5*

*H: c1+ 2c3 = Cc4*

*I: 3c1 = c6*

*Ag: c2 = c6*

*N: c2 = c4*

*O: 3c2 + c3 = 3c4 + c5*

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

* c1 = 1 c2=3*

* c3 = 1 c4=3*

* c5 = 1 c6=3*

Substitute the coefficients into the chemical reaction to obtain the balanced equation:

**Answer:**

* CHI3 + AgNO3 + H2O → HNO3 + CO + Agi*