Balance the following the chemical equation:
Ti3N + MgO → Mg3N2 + Ti2O
3Ti3N + 2MgO → Mg3N2 + 6Ti2O
To balance the chemical equation Ti3N + MgO → Mg3N2 + Ti2O, we need to ensure that the number of atoms for each element on both sides of the equation are the same.
Let's start balancing the equation by adjusting the number of titanium (Ti) atoms. On the left side, we have 3 Ti atoms, while on the right side, we have 2 Ti atoms. To balance the Ti atoms, we can place a coefficient of 2 in front of Ti2O:
Ti3N + MgO → Mg3N2 + 2 Ti2O
Next, let's balance the nitrogen (N) atoms. There are already 3 N atoms on the left side, and on the right side, we have 2 N atoms in Mg3N2. To balance the N atoms, we can place a coefficient of 3 in front of Mg3N2:
Ti3N + MgO → 3 Mg3N2 + 2 Ti2O
Now, let's balance the magnesium (Mg) atoms. There is 1 Mg atom on the left side and 3 Mg atoms on the right side. We can balance the Mg atoms by placing a coefficient of 3 in front of MgO:
Ti3N + 3 MgO → 3 Mg3N2 + 2 Ti2O
Finally, let's check the oxygen (O) atoms. There are already 3 O atoms in the 3 MgO on the left side. On the right side, we have 4 O atoms from 2 Ti2O. To balance the O atoms, we can place a coefficient of 2 in front of MgO:
Ti3N + 6 MgO → 3 Mg3N2 + 2 Ti2O
Now the equation is balanced with an equal number of atoms on both sides. The balanced equation is:
Ti3N + 6 MgO → 3 Mg3N2 + 2 Ti2O
To balance the chemical equation, we need to ensure that the number of atoms of each element is equal on both sides of the equation.
Let's start by counting the number of each type of atom on each side of the equation:
On the left side:
Ti: 3 Ti atoms
N: 1 N atom
Mg: 0 Mg atoms
O: 1 O atom
On the right side:
Ti: 2 Ti atoms
N: 2 N atoms
Mg: 3 Mg atoms
O: 2 O atoms
Now, we can see that the number of Ti atoms and N atoms are not equal on both sides. To balance Ti, we need to multiply Ti3N by 2 and Ti2O by 3:
2 Ti3N + MgO → Mg3N2 + 3 Ti2O
After multiplying, we have:
Ti: 6 Ti atoms on both sides
N: 2 N atoms on both sides
Mg: 3 Mg atoms on both sides
O: 6 O atoms on both sides
Now, the equation is balanced.