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

Let's solve each part step by step.

---

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

---

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

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

\[
\text{moles} = \frac{153.25}{180.156} = 0.8506 \text{ mol}
\]

→ In scientific notation: 8.506 × 10⁻¹ mol

---

#### B. 0.478 grams of Al₂O₃ to moles

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

→ Scientific notation: 4.688 × 10⁻³ mol

---

#### C. 1.0034 grams of H₂O to moles

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

→ Scientific notation: 5.569 × 10⁻² mol

---

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

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

→ Scientific notation: 5.495 × 10⁰ mol (or just 5.495 mol)

---

✔ Part 1 Answers:

- A. 8.506 × 10⁻¹ mol
- B. 4.688 × 10⁻³ mol
- C. 5.569 × 10⁻² mol
- D. 5.495 mol

---

Part 2: Convert moles to molecules

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

So:

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

---

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

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

→ 2.684 × 10²⁴ molecules

---

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

9.995 × 10¹ = 99.95 moles

\[
99.95 × 6.022 × 10^{23} = 5.999 × 10^{25} \text{ molecules}
\]

→ 5.999 × 10²⁵ molecules

---

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

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

→ 6.044 × 10²³ molecules

---

#### 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 sig figs)

---

✔ Part 2 Answers:

- A. 2.684 × 10²⁴ molecules
- B. 5.999 × 10²⁵ molecules
- C. 6.044 × 10²³ molecules
- D. 1.506 × 10²⁴ molecules

---

✔ Final Answers Summary:

#### Part 1: Grams → Moles
A. \( 8.506 \times 10^{-1} \) mol
B. \( 4.688 \times 10^{-3} \) mol
C. \( 5.569 \times 10^{-2} \) mol
D. \( 5.495 \) mol

#### Part 2: Moles → Molecules
A. \( 2.684 \times 10^{24} \) molecules
B. \( 5.999 \times 10^{25} \) molecules
C. \( 6.044 \times 10^{23} \) molecules
D. \( 1.506 \times 10^{24} \) molecules

Let me know if you'd like this formatted for printing or as a table!