### Word equation

magnesium nitride + hydrogen chloride → magnesium chloride + ammonia

### Input interpretation

*Mg3N2 + HCl → MgCl2 + NH3*

Magnesium nitride hydrogen magnesium chloride ammonia chloride

### Balanced equation

Balance the chemical equation algebraically:

Mg3N2 + HCl → MgCl2 + NH3

Add stoichiometric coefficients, c;, to the reactants and products:

c1 Mg3N2 + c2HCl → c3MgCl2 + c4 NH3

Set the number of atoms in the reactants equal to the number of atoms in the products for ** Mg, N, Cl **and

*H:*** Mg: **3c1 = c3

** N: **2c1= c4

** Cl: **c2 = 2c3

** H: **c2 = 3c4

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=6

c3=3

c4=2

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

**Answer**:

*Mg3N2 + HCl → MgCl2 + NH3*