Balance the following the chemical equation:

Question

Ti3N + MgO → Mg3N2 + Ti2O

Blank 1:
Blank 2:
Blank 3:
Blank 4:

Answer 1

To balance the given chemical equation \( \text{Ti}_3\text{N} + \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + \text{Ti}_2\text{O} \), we need to ensure that the number of each type of atom is the same on both sides of the equation.

Let's break it down step by step:

1. Identify the elements and their quantities:

   • Reactants: \( \text{Ti}_3\text{N} \) and \( \text{MgO} \)
   • Products: \( \text{Mg}_3\text{N}_2 \) and \( \text{Ti}_2\text{O} \)

2. Write down the unbalanced equation: \[ \text{Ti}_3\text{N} + \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + \text{Ti}_2\text{O} \]

3. Count the atoms of each element:

   • Left side:
     • Ti: 3
     • N: 1
     • Mg: 1
     • O: 1
   • Right side:
     • Ti: 2
     • N: 2
     • Mg: 3
     • O: 1

4. Start balancing:

   • Balance nitrogen (N): To balance nitrogen, we have 1 on the left and 2 on the right. Thus, we need 2 \( \text{Ti}_3\text{N} \).
   • Update the equation: \[ 2 \text{Ti}_3\text{N} + \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + \text{Ti}_2\text{O} \]

5. Count the atoms again:

   • Left side:
     • Ti: 6
     • N: 2
     • Mg: 1
     • O: 1
   • Right side:
     • Ti: 2
     • N: 2
     • Mg: 3
     • O: 1

6. Next, balance titanium (Ti): We have 6 Ti on the left and 2 on the right. We need 3 \( \text{Ti}_2\text{O} \) to achieve this.

   • Update the equation: \[ 2 \text{Ti}_3\text{N} + \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + 3 \text{Ti}_2\text{O} \]

7. Count the atoms again:

   • Left side:
     • Ti: 6
     • N: 2
     • Mg: 1
     • O: 1
   • Right side:
     • Ti: 6
     • N: 2
     • Mg: 3
     • O: 3

8. Finally, balance magnesium (Mg): Now we have 1 Mg on the left and 3 Mg on the right, so we need 3 \( \text{MgO} \).

   • The balanced equation becomes: \[ 2 \text{Ti}_3\text{N} + 3 \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + 3 \text{Ti}_2\text{O} \]

Now everything is balanced:

• Ti: 6 on each side
• N: 2 on each side
• Mg: 3 on each side
• O: 3 on each side

The balanced equation is: \[ 2 \text{Ti}_3\text{N} + 3 \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + 3 \text{Ti}_2\text{O} \]

So, the answers for the blanks are:

• Blank 1: 2
• Blank 2: 3
• Blank 3: 1 (for \( \text{Mg}_3\text{N}_2 \))
• Blank 4: 3

Final answer for the blanks:

• Blank 1: 2
• Blank 2: 3
• Blank 3: 1
• Blank 4: 3