To balance the chemical equation \( \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow \text{NaBr} + \text{CaO} \), we need to ensure that the number of each type of atom is the same on both sides of the equation.
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Count the atoms on each side:
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Left side:
- Sodium (Na): 2 from \( \text{Na}_2\text{O} \)
- Oxygen (O): 1 from \( \text{Na}_2\text{O} \)
- Calcium (Ca): 1 from \( \text{CaBr}_2 \)
- Bromine (Br): 2 from \( \text{CaBr}_2 \)
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Right side:
- Sodium (Na): 1 from \( \text{NaBr} \)
- Bromine (Br): 1 from \( \text{NaBr} \)
- Calcium (Ca): 1 from \( \text{CaO} \)
- Oxygen (O): 1 from \( \text{CaO} \)
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Start balancing:
- We have 2 Na on the left and only 1 on the right, so we need to put a coefficient of 2 in front of \( \text{NaBr} \): \[ \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow 2 \text{NaBr} + \text{CaO} \]
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Re-count the atoms:
- Left side:
- Na: 2
- O: 1
- Ca: 1
- Br: 2
- Right side:
- Na: 2
- Br: 2
- Ca: 1
- O: 1
- Left side:
Now both sides are balanced.
Thus, the balanced equation is: \[ \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow 2 \text{NaBr} + \text{CaO} \]
The coefficients of the balanced equation are: 1:1:2:1 (for Na2O, CaBr2, NaBr, CaO).
Therefore, the correct answer is: d) 1:1:2:1