Chemistry Grams to Moles to Molecules to Moles to Grams Conversion ... - Free Printable

Let's solve each part step by step.

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Part 1: Convert grams to moles

To convert grams to moles, use the formula:

\[
\text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}}
\]

We’ll need the molar masses of each compound:

- C₆H₁₂O₆ (Glucose):
C: 12.01 × 6 = 72.06
H: 1.008 × 12 = 12.096
O: 16.00 × 6 = 96.00
→ Total = 72.06 + 12.096 + 96.00 = 180.156 g/mol

- Al₂O₃ (Aluminum oxide):
Al: 26.98 × 2 = 53.96
O: 16.00 × 3 = 48.00
→ Total = 53.96 + 48.00 = 101.96 g/mol

- H₂O (Water):
H: 1.008 × 2 = 2.016
O: 16.00
→ Total = 2.016 + 16.00 = 18.016 g/mol

- H₂SO₄ (Sulfuric acid):
H: 1.008 × 2 = 2.016
S: 32.07
O: 16.00 × 4 = 64.00
→ Total = 2.016 + 32.07 + 64.00 = 98.086 g/mol

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#### A. 1.5325×10² grams of C₆H₁₂O₆ to moles

Mass = 1.5325 × 10² g = 153.25 g
Molar mass = 180.156 g/mol

\[
\text{moles} = \frac{153.25}{180.156} ≈ 0.8499 \text{ mol}
\]

→ In scientific notation: 8.499 × 10⁻¹ mol

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#### B. 0.478 grams of Al₂O₃ to moles

Mass = 0.478 g
Molar mass = 101.96 g/mol

\[
\text{moles} = \frac{0.478}{101.96} ≈ 0.004688 \text{ mol}
\]

→ In scientific notation: 4.688 × 10⁻³ mol

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#### C. 1.0034 grams of H₂O to moles

Mass = 1.0034 g
Molar mass = 18.016 g/mol

\[
\text{moles} = \frac{1.0034}{18.016} ≈ 0.05569 \text{ mol}
\]

→ In scientific notation: 5.569 × 10⁻² mol

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#### D. 538.99 grams of H₂SO₄ to moles

Mass = 538.99 g
Molar mass = 98.086 g/mol

\[
\text{moles} = \frac{538.99}{98.086} ≈ 5.495 \text{ mol}
\]

→ In scientific notation: 5.495 × 10⁰ mol (or just 5.495 mol)

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✔ Part 1 Answers:

A. 8.499 × 10⁻¹ mol
B. 4.688 × 10⁻³ mol
C. 5.569 × 10⁻² mol
D. 5.495 mol

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Part 2: Convert moles to molecules

Use Avogadro’s number:
\[
1 \text{ mole} = 6.022 × 10^{23} \text{ molecules}
\]

So:
\[
\text{molecules} = \text{moles} × 6.022 × 10^{23}
\]

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#### A. 4.457 moles of C₆H₁₂O₆ to molecules

\[
4.457 × 6.022 × 10^{23} = 2.684 × 10^{24} \text{ molecules}
\]

→ 2.684 × 10²⁴ molecules

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#### B. 9.995×10¹ moles of Al₂O₃ to molecules

9.995 × 10¹ = 99.95 moles

\[
99.95 × 6.022 × 10^{23} = 5.998 × 10^{25} \text{ molecules}
\]

→ 5.998 × 10²⁵ molecules

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#### C. 1.004 moles of H₂O to molecules

\[
1.004 × 6.022 × 10^{23} = 6.044 × 10^{23} \text{ molecules}
\]

→ 6.044 × 10²³ molecules

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#### D. 2.50 moles of H₂SO₄ to molecules

\[
2.50 × 6.022 × 10^{23} = 1.5055 × 10^{24} \text{ molecules}
\]

→ 1.506 × 10²⁴ molecules (rounded to 4 significant figures)

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✔ Part 2 Answers:

A. 2.684 × 10²⁴ molecules
B. 5.998 × 10²⁵ molecules
C. 6.044 × 10²³ molecules
D. 1.506 × 10²⁴ molecules

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🔚 Final Answer Summary:

#### Part 1: Grams to Moles
A. 8.499 × 10⁻¹ mol
B. 4.688 × 10⁻³ mol
C. 5.569 × 10⁻² mol
D. 5.495 mol

#### Part 2: Moles to Molecules
A. 2.684 × 10²⁴ molecules
B. 5.998 × 10²⁵ molecules
C. 6.044 × 10²³ molecules
D. 1.506 × 10²⁴ molecules

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