QuestionMay 29, 2025

13. How many atoms of palladium (Pd) is 400 g of palladium? 14. Find the mass of 4.55times 10^28 atoms of vanadium (V). 15. Find the mass of 4.77times 10^22 atoms of scandium (Sc) 16. Find the number of atoms in 36 g of germanium (Ge).

13. How many atoms of palladium (Pd) is 400 g of palladium? 14. Find the mass of 4.55times 10^28 atoms of vanadium (V). 15. Find the mass of 4.77times 10^22 atoms of scandium (Sc) 16. Find the number of atoms in 36 g of germanium (Ge).
13. How many atoms of palladium (Pd) is 400 g of palladium? 14. Find the mass of 4.55times 10^28 atoms of vanadium (V). 15. Find the mass of 4.77times 10^22 atoms of scandium (Sc) 16. Find the number of atoms in 36 g of germanium (Ge).

Solution
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Answer

2.27 \times 10^{24} \text{ atoms of Pd} ### 3.84 \times 10^{3} \text{ g of V} ### 3.56 \text{ g of Sc} ### 2.98 \times 10^{23} \text{ atoms of Ge} Explanation 1. Calculate moles of palladium Use the formula: **moles = \frac{\text{mass}}{\text{molar mass}}**. The molar mass of Pd is 106.42 g/mol. Moles of Pd = \(\frac{400}{106.42}\). 2. Calculate atoms of palladium Use Avogadro's number: **atoms = moles \times 6.022 \times 10^{23}**. 3. Calculate mass of vanadium Use the formula: **mass = \frac{\text{atoms}}{6.022 \times 10^{23}} \times \text{molar mass}**. The molar mass of V is 50.94 g/mol. 4. Calculate mass of scandium Use the formula: **mass = \frac{\text{atoms}}{6.022 \times 10^{23}} \times \text{molar mass}**. The molar mass of Sc is 44.96 g/mol. 5. Calculate moles of germanium Use the formula: **moles = \frac{\text{mass}}{\text{molar mass}}**. The molar mass of Ge is 72.63 g/mol. Moles of Ge = \(\frac{36}{72.63}\). 6. Calculate atoms of germanium Use Avogadro's number: **atoms = moles \times 6.022 \times 10^{23}**.

Explanation

1. Calculate moles of palladium<br /> Use the formula: **moles = \frac{\text{mass}}{\text{molar mass}}**. The molar mass of Pd is 106.42 g/mol. Moles of Pd = \(\frac{400}{106.42}\).<br /><br />2. Calculate atoms of palladium<br /> Use Avogadro's number: **atoms = moles \times 6.022 \times 10^{23}**.<br /><br />3. Calculate mass of vanadium<br /> Use the formula: **mass = \frac{\text{atoms}}{6.022 \times 10^{23}} \times \text{molar mass}**. The molar mass of V is 50.94 g/mol.<br /><br />4. Calculate mass of scandium<br /> Use the formula: **mass = \frac{\text{atoms}}{6.022 \times 10^{23}} \times \text{molar mass}**. The molar mass of Sc is 44.96 g/mol.<br /><br />5. Calculate moles of germanium<br /> Use the formula: **moles = \frac{\text{mass}}{\text{molar mass}}**. The molar mass of Ge is 72.63 g/mol. Moles of Ge = \(\frac{36}{72.63}\).<br /><br />6. Calculate atoms of germanium<br /> Use Avogadro's number: **atoms = moles \times 6.022 \times 10^{23}**.
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