____ Ti3N + ____ MgO → ____Mg3N2 +____ Ti2O

The balanced chemical equation for the reaction is:

3Ti3N + 2MgO → Mg3N2 + 3Ti2O

To balance the chemical equation:

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

On the left side (reactants):
- Titanium (Ti): 3 Ti
- Nitrogen (N): 3 N
- Magnesium (Mg): 0 Mg
- Oxygen (O): 0 O

On the right side (products):
- Magnesium (Mg): 3 Mg
- Nitrogen (N): 2 N
- Titanium (Ti): 2 Ti
- Oxygen (O): 2 O

2. Balance the least abundant element first (in this case, Oxygen).

Since there are 2 oxygen atoms on the product side, we need to balance it by adding a coefficient in front of Ti2O. So, the equation becomes:

Ti3N + ____ MgO → Mg3N2 + 3 Ti2O

3. Balance the next least abundant element, which is Nitrogen.

Currently, there are 3 nitrogen atoms on the reactant side, and only 2 nitrogen atoms on the product side. To balance nitrogen, we need to multiply the coefficient of Mg3N2 by 3, resulting in:

Ti3N + ____ MgO → 3 Mg3N2 + 3 Ti2O

4. Finally, balance the remaining element, which is Magnesium.

There are 3 magnesium atoms on the product side, indicating that we need 3 magnesium atoms on the reactant side as well. The balanced equation is:

Ti3N + 3 MgO → 3 Mg3N2 + 3 Ti2O

To determine the coefficients in front of each compound in the balanced chemical equation, we need to follow a few steps:

Step 1: Count the number of atoms of each element on both sides of the equation.
On the left side of the equation, we have:
Ti: 3
N: 1
Mg: 0
O: 1

On the right side of the equation, we have:
Mg: 3
N: 2
Ti: 2
O: 1

Step 2: Determine which element has the smallest number of atoms. In this case, it is oxygen (O).

Step 3: Start by balancing the oxygen atoms by adding coefficients in front of the compounds that contain oxygen. Since there is only one oxygen atom on both sides of the equation, we don't need to change anything.

Step 4: Balance the remaining elements one by one. Since there is only one nitrogen (N) atom on the left side and two nitrogen atoms on the right side, we can balance nitrogen by adding a coefficient of 2 in front of Ti3N.

Finally, the balanced chemical equation is:
2 Ti3N + 3 MgO → Mg3N2 + Ti2O

Therefore, the coefficients are:
2 Ti3N + 3 MgO → 1 Mg3N2 + 1 Ti2O