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:

moles of F2=mass of F2molar mass of F2=0.063 g38.00 g/mol=1.66×103 mol\text{moles of F}_2 = \frac{\text{mass of F}_2}{\text{molar mass of F}_2} = \frac{0.063\ \text{g}}{38.00\ \text{g/mol}} = 1.66 \times 10^{-3}\ \text{mol}

Step 3: Use stoichiometry to find moles of NaF

From the balanced chemical equation:

2Na(s)+F2(g)2NaF(s)2\text{Na}(s) + \text{F}_2(g) \rightarrow 2\text{NaF}(s)

This equation shows that 1 mole of F₂ produces 2 moles of NaF. Therefore, the moles of NaF produced will be:

moles of NaF=2×moles of F2=2×(1.66×103 mol)=3.32×103 mol\text{moles of NaF} = 2 \times \text{moles of F}_2 = 2 \times (1.66 \times 10^{-3}\ \text{mol}) = 3.32 \times 10^{-3}\ \text{mol}

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 6.022×1023 molecules/mol6.022 \times 10^{23}\ \text{molecules/mol}:

molecules of NaF=3.32×103 mol×6.022×1023 molecules/mol\text{molecules of NaF} = 3.32 \times 10^{-3}\ \text{mol} \times 6.022 \times 10^{23}\ \text{molecules/mol}

molecules of NaF=2.00×1021 molecules\text{molecules of NaF} = 2.00 \times 10^{21}\ \text{molecules}

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:

  1. What is the relationship between moles of reactants and products in a balanced chemical equation?
  2. How does the concept of limiting reactant affect the number of products produced?
  3. How do you convert between moles and molecules?
  4. How do you calculate the molar mass of a compound like NaF?
  5. 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