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 atoms for each element is the same on both sides of the equation.
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Write the unbalanced equation: \[ \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow \text{NaBr} + \text{CaO} \]
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Count the number of atoms of each element on both sides:
- Left side:
- Na: 2
- O: 1
- Ca: 1
- Br: 2
- Right side:
- Na: 1
- O: 1
- Ca: 1
- Br: 1
- Left side:
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Balance sodium (Na) first: We have 2 Na on the left side and 1 Na on the right side, so we need 2 NaBr on the right side. \[ \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow 2 \text{NaBr} + \text{CaO} \]
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Recount the atoms:
- Left side:
- Na: 2
- O: 1
- Ca: 1
- Br: 2
- Right side:
- Na: 2 (from 2 NaBr)
- O: 1
- Ca: 1
- Br: 2 (from 2 NaBr)
- Left side:
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All elements are balanced.
Thus, the balanced equation is: \[ \text{Na}_2\text{O} + \text{CaBr}_2 \rightarrow 2 \text{NaBr} + \text{CaO} \]
The coefficients for the balanced equation are:
- Na2O: 1
- CaBr2: 1
- NaBr: 2
- CaO: 1
Therefore, the balanced equation corresponds to option c (1:1:2:1).