Math Problem Statement
0.063 g of F2 react with excess Na by the equation below. Determine the number of molecules of of NaF that can be produced. Express your answer in scientific notation using the format (for example) 6.022*10^23 for 6.022 x 1023.
2Na(s) + F2(g) -> 2NaF(s)
Solution
Let's solve this step by step to find the number of molecules of NaF that can be produced from 0.063 g of F₂.
Step 1: Molar mass of F₂
First, we calculate the molar mass of F₂ (fluorine gas):
- The atomic mass of fluorine (F) is approximately 19.00 g/mol.
- Molar mass of F₂ = 2 × 19.00 = 38.00 g/mol.
Step 2: Convert grams of F₂ to moles
Now, we convert the given mass of F₂ to moles using the molar mass:
Step 3: Use stoichiometry to find moles of NaF
From the balanced chemical equation:
This equation shows that 1 mole of F₂ produces 2 moles of NaF. Therefore, the moles of NaF produced will be:
Step 4: Convert moles of NaF to molecules
Next, we convert the moles of NaF to the number of molecules using Avogadro's number, which is :
Final Answer:
The number of molecules of NaF that can be produced is 2.00 × 10²¹ molecules.
Would you like further details or have any questions? Here are some related questions:
- What is the relationship between moles of reactants and products in a balanced chemical equation?
- How does the concept of limiting reactant affect the number of products produced?
- How do you convert between moles and molecules?
- How do you calculate the molar mass of a compound like NaF?
- What is Avogadro’s number, and why is it important in chemistry?
Tip: Always ensure you balance the chemical equation first before using stoichiometry to relate reactants and products!
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Math Problem Analysis
Mathematical Concepts
Stoichiometry
Molar Mass
Mole Conversions
Avogadro's Number
Formulas
moles of F2 = mass of F2 / molar mass of F2
moles of NaF = 2 * moles of F2
molecules of NaF = moles of NaF * 6.022 × 10^23
Theorems
Law of Conservation of Mass
Stoichiometric Ratios
Suitable Grade Level
Grades 10-12
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