alance the following the chemical equation:

Ti3N + MgO → Mg3N2 + Ti2O

To balance the chemical equation Ti3N + MgO → Mg3N2 + Ti2O, we need to ensure that the same number of each type of atom is present on both sides of the equation.

Starting with the titanium (Ti) atoms, we have 3 Ti atoms on the left side and only 2 Ti atoms on the right side. To balance this, we put a coefficient of 2 in front of Ti2O, as follows:

Ti3N + MgO → Mg3N2 + 2Ti2O

Next, looking at the nitrogen (N) atoms, we have 3 N atoms on the left and only 2 N atoms on the right. To balance this, we put a coefficient of 2 in front of Mg3N2, as follows:

Ti3N + MgO → 2Mg3N2 + 2Ti2O

Finally, looking at the magnesium (Mg) atoms, we have 1 Mg atom on the left and 6 Mg atoms on the right. To balance this, we put a coefficient of 3 in front of MgO, as follows:

Ti3N + 3MgO → 2Mg3N2 + 2Ti2O

Now the equation is balanced with respect to the number of each type of atom on both sides.