Math Problem Statement
Determine the number of molecules of XeF4, in an 538 g sample of XeF4. Express your answer in scientific notation using the format (for example) 6.022*10^23 for 6.022x1023.
Solution
To determine the number of molecules of XeF₄ in a 538 g sample, follow these steps:
Step 1: Calculate the molar mass of XeF₄.
- Xenon (Xe) has an atomic mass of approximately 131.29 g/mol.
- Fluorine (F) has an atomic mass of approximately 18.998 g/mol.
So, the molar mass of XeF₄ is:
= 131.29 \, \text{g/mol} + 75.992 \, \text{g/mol} = 207.282 \, \text{g/mol}.$$ ### Step 2: Determine the number of moles of XeF₄ in 538 g. $$\text{Moles of XeF₄} = \frac{\text{mass of sample}}{\text{molar mass of XeF₄}} = \frac{538 \, \text{g}}{207.282 \, \text{g/mol}} \approx 2.595 \, \text{mol}.$$ ### Step 3: Use Avogadro's number to calculate the number of molecules. Avogadro's number is $$6.022 \times 10^{23}$$ molecules per mole. Therefore, the number of molecules in 2.595 moles is: $$\text{Number of molecules} = 2.595 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} \approx 1.562 \times 10^{24} \, \text{molecules}.$$ ### Final Answer: The number of molecules of XeF₄ in a 538 g sample is approximately: $$1.562 \times 10^{24} \, \text{molecules}.$$ Would you like more details or have any questions? ### Related Questions: 1. How is the molar mass of a compound determined? 2. What is Avogadro's number, and how is it used in chemistry? 3. How do you convert grams to moles in a chemical calculation? 4. What is the significance of scientific notation in chemistry? 5. How does the molecular structure of XeF₄ influence its properties? ### Tip: Always ensure your units are consistent when performing mole calculations—grams should correspond to the molar mass in grams per mole.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Stoichiometry
Molar Mass Calculation
Avogadro's Number
Scientific Notation
Formulas
Molar mass of a compound = sum of atomic masses of its elements
Number of moles = mass of sample / molar mass
Number of molecules = moles × Avogadro's number
Theorems
Avogadro's Law
Suitable Grade Level
Grades 10-12