When a sample of a hydrated CaBr was heated to a constant weight, 3.24 g of the anhydrous (dry) CaBr was obtained and 1.75 g of water was released. What is the empirical formula of the hydrate? CaBr2.2H₂0 CaBr₂.6H₂0 none of these choices is correct CaBr-12H₂O

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**Question:**

When a sample of a hydrated CaBr\(_2\) was heated to a constant weight, 3.24 g of the anhydrous (dry) CaBr\(_2\) was obtained and 1.75 g of water was released. What is the empirical formula of the hydrate?

**Options:**

1. CaBr\(_2 \cdot\) 2H\(_2\)O
2. CaBr\(_2 \cdot\) 6H\(_2\)O
3. None of these choices is correct
4. CaBr\(_2 \cdot\) 12H\(_2\)O

**Explanation:**

The problem involves determining the empirical formula of a hydrate of calcium bromide. The sample was heated, and the water of hydration was removed, resulting in a certain mass of anhydrous CaBr\(_2\) and a known mass of water released. To find the empirical formula of the hydrate, one must calculate the molar ratio of CaBr\(_2\) to H\(_2\)O.

**Steps:**

1. Calculate moles of anhydrous CaBr\(_2\): 
   \[
   \text{Moles of CaBr\(_2\)} = \frac{3.24 \, \text{g}}{199.9 \, \text{g/mol}}
   \]

2. Calculate moles of water:
   \[
   \text{Moles of H\(_2\)O} = \frac{1.75 \, \text{g}}{18.02 \, \text{g/mol}}
   \]

3. Determine the ratio of moles of water to moles of CaBr\(_2\).

4. Use this ratio to determine which hydrate formula matches the data.
Transcribed Image Text:**Question:** When a sample of a hydrated CaBr\(_2\) was heated to a constant weight, 3.24 g of the anhydrous (dry) CaBr\(_2\) was obtained and 1.75 g of water was released. What is the empirical formula of the hydrate? **Options:** 1. CaBr\(_2 \cdot\) 2H\(_2\)O 2. CaBr\(_2 \cdot\) 6H\(_2\)O 3. None of these choices is correct 4. CaBr\(_2 \cdot\) 12H\(_2\)O **Explanation:** The problem involves determining the empirical formula of a hydrate of calcium bromide. The sample was heated, and the water of hydration was removed, resulting in a certain mass of anhydrous CaBr\(_2\) and a known mass of water released. To find the empirical formula of the hydrate, one must calculate the molar ratio of CaBr\(_2\) to H\(_2\)O. **Steps:** 1. Calculate moles of anhydrous CaBr\(_2\): \[ \text{Moles of CaBr\(_2\)} = \frac{3.24 \, \text{g}}{199.9 \, \text{g/mol}} \] 2. Calculate moles of water: \[ \text{Moles of H\(_2\)O} = \frac{1.75 \, \text{g}}{18.02 \, \text{g/mol}} \] 3. Determine the ratio of moles of water to moles of CaBr\(_2\). 4. Use this ratio to determine which hydrate formula matches the data.
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