_ Ti3N + _ MgO → _ Mg3N2 + _ Ti2O

4 Ti3N + 2 MgO → 2 Mg3N2 + 6 Ti2O

To balance the chemical equation:

Ti3N + MgO → Mg3N2 + Ti2O

Step 1: Count the number of each type of atom on both sides of the equation.

On the left side, we have:
3 Ti atoms
1 N atom
1 Mg atom
1 O atom

On the right side, we have:
1 Mg atom
2 N atoms
2 O atoms
2 Ti atoms

Step 2: Balance the Ti atoms by putting a coefficient of 3 in front of Ti2O.

Ti3N + MgO → Mg3N2 + 3Ti2O

Now, we have:
3 Ti atoms
1 N atom
1 Mg atom
6 O atoms

Step 3: Balance the O atoms by putting a coefficient of 3 in front of MgO.

Ti3N + 3MgO → Mg3N2 + 3Ti2O

Now, we have:
3 Ti atoms
1 N atom
3 Mg atoms
6 O atoms

Step 4: Finally, balance the N atoms by putting a coefficient of 2 in front of Mg3N2.

Ti3N + 3MgO → 2Mg3N2 + 3Ti2O

Now, we have a balanced equation with:
3 Ti atoms
2 N atoms
3 Mg atoms
6 O atoms

To balance the chemical equation:

_Ti3N + _MgO → _Mg3N2 + _Ti2O

We need to balance the number of atoms on each side of the equation. Let's start with the titanium (Ti) atoms.

On the left side, we have 3 titanium (Ti) atoms from Ti3N, and on the right side, we have 2 titanium (Ti) atoms from Ti2O. Therefore, we need to put a coefficient of 3 on Ti2O to balance the number of titanium (Ti) atoms.

_Ti3N + _MgO → _Mg3N2 + 3Ti2O

Next, let's balance the nitrogen (N) atoms.

On the left side, we have 3 nitrogen (N) atoms from Ti3N, and on the right side, we have 2 nitrogen (N) atoms from Mg3N2. Therefore, we need to put a coefficient of 2 on Ti3N to balance the number of nitrogen (N) atoms.

2Ti3N + _MgO → _Mg3N2 + 3Ti2O

Now, let's balance the magnesium (Mg) atoms.

On the left side, we have 2 magnesium (Mg) atoms from MgO, and on the right side, we have 3 magnesium (Mg) atoms from Mg3N2. Therefore, we need to put a coefficient of 3 on MgO to balance the number of magnesium (Mg) atoms.

2Ti3N + 3MgO → _Mg3N2 + 3Ti2O

Finally, let's balance the oxygen (O) atoms.

On the left side, we have 3 oxygen (O) atoms from 3MgO, and on the right side, we have 6 oxygen (O) atoms from 3Ti2O. Therefore, we need a coefficient of 2 on Mg3N2 to balance the number of oxygen (O) atoms.

2Ti3N + 3MgO → 2Mg3N2 + 3Ti2O

Therefore, the balanced chemical equation is:

2Ti3N + 3MgO → 2Mg3N2 + 3Ti2O