Balance the following the chemical equation:

_____ Ti3N + _____ MgO → ______ Mg3N2 + _____ Ti2O
Blank 1:
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1 answer

To balance the chemical equation \( \text{Ti}_3\text{N} + \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + \text{Ti}_2\text{O} \), we follow these steps:

  1. Count the number of atoms of each element in the reactants and products.
  2. Adjust the coefficients to balance each element.

The unbalanced equation is:

\[ \text{Ti}_3\text{N} + \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + \text{Ti}_2\text{O} \]

Balancing process:

  • On the left side, we have:

    • Titanium (Ti): 3
    • Nitrogen (N): 1
    • Magnesium (Mg): 1
    • Oxygen (O): 1
  • On the right side, we have:

    • Titanium (Ti): 2
    • Nitrogen (N): 2
    • Magnesium (Mg): 3
    • Oxygen (O): 1

Next, we proceed to balance the equation:

  1. Balancing Nitrogen (N): There is 1 Nitrogen on the left and 2 on the right. To balance it, we will put a coefficient of 2 in front of \( \text{Ti}_3\text{N} \):

    \[ 2 \text{Ti}_3\text{N} + \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + \text{Ti}_2\text{O} \]

    Now we have:

    • Left: N = 2
    • Right: N = 2
  2. Balancing Titanium (Ti): Now we have 6 Titanium on the left (from 2 \( \text{Ti}_3\text{N} \)) and 2 on the right. To balance it, we need a coefficient of 3 in front of \( \text{Ti}_2\text{O} \):

    \[ 2 \text{Ti}_3\text{N} + \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + 3 \text{Ti}_2\text{O} \]

    Now we have:

    • Left: Ti = 6
    • Right: Ti = 6
  3. Balancing Magnesium (Mg): Now we have 3 Magnesium on the right, so we need a coefficient of 3 in front of \( \text{MgO} \):

    \[ 2 \text{Ti}_3\text{N} + 3 \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + 3 \text{Ti}_2\text{O} \]

Now the balanced equation is:

\[ 2 \text{Ti}_3\text{N} + 3 \text{MgO} \rightarrow \text{Mg}_3\text{N}_2 + 3 \text{Ti}_2\text{O} \]

The coefficients are:

  • Blank 1: 2
  • Blank 2: 3
  • Blank 3: 1 (which can be left out as it is implicitly understood)
  • Blank 4: 3

So the answer is:

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