Question

How many grams of carbon dioxide are produced if 68.2 grams of Fe3O4 are reacted?

Answer 1

24958, Chemistry, Other | Completed

How many grams of carbon dioxide are produced if 68.2 grams of Fe3O4 are reacted?

Solution:

Fe₃O₄ react with carbon oxide following the reaction:

$$\mathrm{Fe_3O_4} + 4\mathrm{CO} = 3\mathrm{Fe} + 4\mathrm{CO_2}.$$

We use the periodic table in order that calculate the molar mass of Fe₃O₄ and CO₂.

$$\begin{array}{l} M(\mathrm{Fe_3O_4}) = 55.847 \cdot 3 + 15.999 \cdot 4 = 231.537 \ \mathrm{g/mol}, \\ M(\mathrm{CO_2}) = 12.011 + 15.999 \cdot 2 = 44.009 \ \mathrm{g/mol}. \end{array}$$ $$\begin{array}{l} 68.2 \\ \mathrm{Fe_3O_4} + 4\mathrm{CO} = 3\mathrm{Fe} + 4\mathrm{CO_2}. \\ 231.537 \quad 444.009 \end{array}$$ $$\mathrm{So} \ x = \frac{68.2 \cdot 4 \cdot 44.009}{231.537} = 51.852 \ \mathrm{g}.$$

Answer:

The mass of CO₂ is 51.852 g.