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
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
Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbcea870b-a558-4e25-bd85-f50b869e1110%2Ff351ac0f-03db-4a5d-9c97-8777966184ad%2Fiv2kj8bb_processed.jpeg&w=3840&q=75)
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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