Convert the given amounts using the relationships from example two. Be sure to pay attention to the significant digits: 1. 25 g of elemental iron to moles of elemental iron, Fe. 2. 15.6 moles of carbon monoxide to grams of carbon monoxide, CO. 3. 125 g of sodium suffide to moles of sodtum sumde, Nas.S. 4. 1.25 moles of copper(ii) sulfide to grams of copperii) sulfide, CuS. 5. \( 3.34 \times 10^{24} \) Tormula units iron(il) nitrate to moles of iron(1) nitrate Fe(NO) ja 6. 1.345 grams of iron (III) nitrate to moles of iron(ili) nitrate Fe(NO) 7. 2.25 grams of glucose to molecules of ghoose \( \mathrm{CH}, \mathrm{O}_{5} \) 8. 375 grams of oxygen to moles of oxygen, \( \mathrm{O}_{2} \)
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The Deep Dive
To convert the given amounts using the relationships from example two (molecular weights and Avogadro's number), we'll work through each question step by step: 1. **25 g of elemental iron to moles of elemental iron, Fe:** The molar mass of iron (Fe) is approximately 55.85 g/mol. \[ \text{Moles of Fe} = \frac{25 \text{ g}}{55.85 \text{ g/mol}} \approx 0.448 \text{ moles (3 significant figures)} \] 2. **15.6 moles of carbon monoxide to grams of carbon monoxide, CO:** The molar mass of CO is about 28.01 g/mol. \[ \text{Grams of CO} = 15.6 \text{ moles} \times 28.01 \text{ g/mol} \approx 437.36 \text{ g (3 significant figures)} \] 3. **125 g of sodium sulfide to moles of sodium sulfide, Na₂S:** The molar mass of Na₂S is approximately 78.04 g/mol. \[ \text{Moles of Na₂S} = \frac{125 \text{ g}}{78.04 \text{ g/mol}} \approx 1.604 \text{ moles (3 significant figures)} \] 4. **1.25 moles of copper(II) sulfide to grams of copper(II) sulfide, CuS:** The molar mass of CuS is about 95.61 g/mol. \[ \text{Grams of CuS} = 1.25 \text{ moles} \times 95.61 \text{ g/mol} \approx 119.51 \text{ g (3 significant figures)} \] 5. **\( 3.34 \times 10^{24} \) formula units of iron(II) nitrate to moles of iron(II) nitrate, Fe(NO₃)₂:** Using Avogadro's number \( 6.022 \times 10^{23} \) units/mol: \[ \text{Moles of Fe(NO₃)₂} = \frac{3.34 \times 10^{24} \text{ units}}{6.022 \times 10^{23} \text{ units/mol}} \approx 5.55 \text{ moles (3 significant figures)} \] 6. **1.345 grams of iron(III) nitrate to moles of iron(III) nitrate, Fe(NO₃)₃:** The molar mass of Fe(NO₃)₃ is approximately 241.87 g/mol. \[ \text{Moles of Fe(NO₃)₃} = \frac{1.345 \text{ g}}{241.87 \text{ g/mol}} \approx 0.00557 \text{ moles (3 significant figures)} \] 7. **2.25 grams of glucose to molecules of glucose \( \text{C}_6\text{H}_{12}\text{O}_6 \):** The molar mass of glucose is approximately 180.18 g/mol. \[ \text{Moles of glucose} = \frac{2.25 \text{ g}}{180.18 \text{ g/mol}} \approx 0.0125 \text{ moles} \] Then convert to molecules: \[ \text{Molecules of glucose} = 0.0125 \text{ moles} \times 6.022 \times 10^{23} \approx 7.53 \times 10^{21} \text{ molecules (3 significant figures)} \] 8. **375 grams of oxygen to moles of oxygen, \( \text{O}_2 \):** The molar mass of \( \text{O}_2 \) is about 32.00 g/mol. \[ \text{Moles of } \text{O}_2 = \frac{375 \text{ g}}{32.00 \text{ g/mol}} \approx 11.72 \text{ moles (3 significant figures)} \] Now you have all conversions with attention to significant figures! If you have any questions or need further calculations, feel free to ask!