A different hydrate of nickel(II) chloride, NiCl2• XH2O, decomposes to produce 45.5% water. Calculate the water of crystallization (X), and write the formula for the hydrate. lod g 000.1 to 2or enl OcDX 3A bolnron.in cA obyl ori ni oEw to agansorog leinaminepo erd eiWnd oile Water of crystallization Formula of hydrate NiCl2 • H2O

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### Problem Statement

A different hydrate of nickel(II) chloride, \( \text{NiCl}_2 \cdot X \text{H}_2\text{O} \), decomposes to produce 45.5% water. 

**Task:** Calculate the water of crystallization \((X)\), and write the formula for the hydrate.

### Solution Steps

1. **Identify the Given Information:**
   - The compound is nickel(II) chloride hydrate, \( \text{NiCl}_2 \cdot X \text{H}_2\text{O} \).
   - The percentage of water in the compound is 45.5%.

2. **Calculate the Molar Masses:**
   - Molar mass of \( \text{NiCl}_2 \) = 58.69 (Ni) + 2(35.45) (Cl) = 129.59 g/mol
   - Molar mass of \( \text{H}_2\text{O} \) = 18.02 g/mol

3. **Set Up the Equation:**
   \[
   \frac{X \times 18.02}{129.59 + X \times 18.02} \times 100 = 45.5
   \]

4. **Solve for \(X\):**
   - Rearrange and solve the equation for \(X\).

5. **Write the Formula:**
   - Once \(X\) is found, write the complete hydrate formula as \( \text{NiCl}_2 \cdot X \text{H}_2\text{O} \).

### Additional Information

- **Water of Crystallization:** Refers to the fixed number of water molecules chemically bonded within a crystalline structure of a compound.
- **Hydrates:** Compounds that include water molecules within their crystalline structures, often affecting the substance’s properties.

This exercise involves calculating the stoichiometry of a hydrate and understanding its composition based on given percentages.
Transcribed Image Text:### Problem Statement A different hydrate of nickel(II) chloride, \( \text{NiCl}_2 \cdot X \text{H}_2\text{O} \), decomposes to produce 45.5% water. **Task:** Calculate the water of crystallization \((X)\), and write the formula for the hydrate. ### Solution Steps 1. **Identify the Given Information:** - The compound is nickel(II) chloride hydrate, \( \text{NiCl}_2 \cdot X \text{H}_2\text{O} \). - The percentage of water in the compound is 45.5%. 2. **Calculate the Molar Masses:** - Molar mass of \( \text{NiCl}_2 \) = 58.69 (Ni) + 2(35.45) (Cl) = 129.59 g/mol - Molar mass of \( \text{H}_2\text{O} \) = 18.02 g/mol 3. **Set Up the Equation:** \[ \frac{X \times 18.02}{129.59 + X \times 18.02} \times 100 = 45.5 \] 4. **Solve for \(X\):** - Rearrange and solve the equation for \(X\). 5. **Write the Formula:** - Once \(X\) is found, write the complete hydrate formula as \( \text{NiCl}_2 \cdot X \text{H}_2\text{O} \). ### Additional Information - **Water of Crystallization:** Refers to the fixed number of water molecules chemically bonded within a crystalline structure of a compound. - **Hydrates:** Compounds that include water molecules within their crystalline structures, often affecting the substance’s properties. This exercise involves calculating the stoichiometry of a hydrate and understanding its composition based on given percentages.
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