To balance the chemical equation \( \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow \text{NaBr} + \text{CaO} \), we will follow these steps:
- Write down the number of each type of atom in the reactants and products.
- Adjust coefficients to balance the atoms.
Starting with the unbalanced equation: \[ \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow \text{NaBr} + \text{CaO} \]
Count the number of atoms of each element:
-
Reactants:
- Na: 2 (from \(\text{Na}_2\text{O}\))
- O: 1 (from \(\text{Na}_2\text{O}\))
- Ca: 1 (from \(\text{CaBr}_2\))
- Br: 2 (from \(\text{CaBr}_2\))
-
Products:
- Na: 1 (from \(\text{NaBr}\))
- O: 1 (from \(\text{CaO}\))
- Ca: 1 (from \(\text{CaO}\))
- Br: 1 (from \(\text{NaBr}\))
Now, let's balance the equation:
To balance sodium (Na), we need 2 NaBr for every Na2O: \[ \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow 2 \text{NaBr} + \text{CaO} \]
Now recount:
-
Reactants:
- Na: 2
- O: 1
- Ca: 1
- Br: 2
-
Products:
- Na: 2 (from \(2 \text{NaBr}\))
- O: 1 (from \(\text{CaO}\))
- Ca: 1 (from \(\text{CaO}\))
- Br: 2 (from \(2 \text{NaBr}\))
Now all atoms are balanced.
The balanced equation is: \[ 1 \text{Na}_2\text{O} + 1 \text{CaBr}_2 \rightarrow 2 \text{NaBr} + 1 \text{CaO} \]
In terms of coefficients, it can be written as: \[ 1 \ Na_2O + 1 \ CaBr_2 \rightarrow 2 \ NaBr + 1 \ CaO \]
Thus, the final balanced equation is: \[ \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow 2 \text{NaBr} + \text{CaO} \]