Balance the following the chemical equation

Blank Ti3N + Blank MgO → Blank Mg4N2 + Blank Ti2O

The balanced chemical equation is as follows:

2Ti3N + 9MgO → 2Mg4N2 + 6Ti2O

To balance the chemical equation, follow these steps:

Step 1: Count the number of atoms for each element on both sides of the equation.

On the left side (reactants):

Blank Ti: 3
Blank N: 1

On the right side (products):

Blank Mg: 4
Blank N: 2
Blank Ti: 2
Blank O: 1

Step 2: Balance the less abundant element first.

Since the number of titanium (Ti) atoms is less on the product side, we need to balance the Ti atoms.

Blank Ti3N + Blank MgO → Blank Mg4N2 + 3 Blank Ti2O

Step 3: Balance the remaining elements.

Next, balance the nitrogen (N) atoms:

Blank Ti3N + 3 Blank MgO → Blank Mg4N2 + 3 Blank Ti2O

Finally, balance the magnesium (Mg) and oxygen (O) atoms:

Blank Ti3N + 3 Blank MgO → 2 Blank Mg4N2 + 3 Blank Ti2O

The balanced chemical equation is:

3 Ti3N + 3 MgO → 2 Mg4N2 + 3 Ti2O

To balance a chemical equation, we need to ensure that the number of atoms of each element is equal on both sides of the equation.

Let's begin by counting the number of each type of atom on each side of the equation:

On the left side:
- There are 3 nitrogen (N) atoms.
- There are 3 titanium (Ti) atoms.
- There are 1 oxygen (O) atom.
- There is 1 magnesium (Mg) atom.

On the right side:
- There are 2 nitrogen (N) atoms.
- There are 4 magnesium (Mg) atoms.
- There are 2 titanium (Ti) atoms.
- There are 2 oxygen (O) atoms.

To balance the equation, we need to adjust the coefficients (numbers in front of the molecular formulas) to ensure that the number of each type of atom is the same on both sides.

To begin, let's balance the nitrogen (N) atoms:
- On the left side, we have 3 nitrogen (N) atoms.
- On the right side, we have 2 nitrogen (N) atoms.

To balance the nitrogen atoms, we can multiply the coefficient of Mg4N2 by 3:
Blank Ti3N + Blank MgO → 3Mg4N2 + Blank Ti2O

Next, let's balance the magnesium (Mg) atoms:
- On the left side, we have 1 magnesium (Mg) atom.
- On the right side, we have 4 magnesium (Mg) atoms.

To balance the magnesium atoms, we can multiply the coefficient of MgO by 4:
Blank Ti3N + 4MgO → 3Mg4N2 + Blank Ti2O

Now, let's balance the titanium (Ti) atoms:
- On the left side, we have 3 titanium (Ti) atoms.
- On the right side, we have 2 titanium (Ti) atoms.

To balance the titanium atoms, we can multiply the coefficient of Ti2O by 3:
Blank Ti3N + 4MgO → 3Mg4N2 + 3Ti2O

Finally, let's balance the oxygen (O) atoms:
- On the left side, we have 4 oxygen (O) atoms.
- On the right side, we have 2 oxygen (O) atoms.

To balance the oxygen atoms, we can multiply the coefficient of O2 by 2:
Blank Ti3N + 4MgO → 3Mg4N2 + 3Ti2O2

The balanced chemical equation is:
Ti3N + 4MgO → 3Mg4N2 + 3Ti2O2