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below, how many grams of iron (Fe) would also be produced? 48.92 grams Fe 60.91 grams Fe 84.19 grams Fe 108.29 grams Fe If a scientist produces 64.00 grams of carbon dioxide (CO2) in the reaction

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below, how many grams of iron (Fe) would also be produced?
48.92 grams Fe
60.91 grams Fe
84.19 grams Fe
108.29 grams Fe
If a scientist produces 64.00 grams of carbon dioxide (CO2) in the reaction

below, how many grams of iron (Fe) would also be produced? 48.92 grams Fe 60.91 grams Fe 84.19 grams Fe 108.29 grams Fe If a scientist produces 64.00 grams of carbon dioxide (CO2) in the reaction

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MarvinElite · Tutor for 8 years

Answer

The mass of Fe produced is approximately 108.29 grams.

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## Step 1<br />In this problem, we are dealing with stoichiometry, which is a part of chemistry that studies the quantitative relationships between reactants and products in a chemical reaction. The given chemical reaction is:<br />### \( 2 \mathrm{Fe}_{2} \mathrm{O}_{3}+3 \mathrm{C} \rightarrow 4 \mathrm{Fe}+3 \mathrm{CO}_{2} \)<br />This indicates that for every 4 moles of Fe produced, 3 moles of CO2 are produced. <br /><br />## Step 2<br />First, we need to convert the mass of CO2 produced into moles. The molar mass of CO2 is approximately 44.01 g/mol (12.01 g/mol from Carbon and 32 g/mol from Oxygen). Therefore, the number of moles of CO2 produced is calculated as:<br />### \( \frac{64.00 \, \mathrm{g}}{44.01 \, \mathrm{g/mol}} \approx 1.45 \, \mathrm{moles} \)<br /><br />## Step 3<br />Next, we use the stoichiometric ratio of Fe to CO2 (4/3) to find the moles of Fe produced. This calculation is as follows:<br />### \( \frac{4}{3} \times 1.45 \, \mathrm{moles} \approx 1.93 \, \mathrm{moles} \)<br /><br />## Step 4<br />Finally, to convert the moles of Fe into grams, we multiply by the atomic weight of iron, which is approximately 55.85 g/mol. The calculation is:<br />### \( 1.93 \, \mathrm{moles} \times 55.85 \, \mathrm{g/mol} \approx 108.29 \, \mathrm{g} \)
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