Discover new perspectives and gain insights with IDNLearn.com's diverse answers. Find the information you need quickly and easily with our comprehensive and accurate Q&A platform.

How many moles of [tex][tex]$Fe_2S_3$[/tex][/tex] would be produced from the complete reaction of [tex][tex]$449 \, \text{g} \, FeBr_3$[/tex][/tex]?

[tex]\[2 \, FeBr_3 + 3 \, Na_2S \rightarrow Fe_2S_3 + 6 \, NaBr\][/tex]

[?] [tex] \text{mol} \, Fe_2S_3[/tex]


Sagot :

To determine how many moles of [tex]\( \text{Fe}_2\text{S}_3 \)[/tex] are produced from the complete reaction of 449 grams of [tex]\( \text{FeBr}_3 \)[/tex], we can follow these steps:

1. Calculate the molar mass of [tex]\( \text{FeBr}_3 \)[/tex]:
- The molar mass of iron (Fe) is 55.845 g/mol.
- The molar mass of bromine (Br) is 79.904 g/mol.
- Therefore, the molar mass of [tex]\( \text{FeBr}_3 \)[/tex] is calculated as follows:
[tex]\[ \text{Molar mass of } \text{FeBr}_3 = 55.845 + 3 \times 79.904 = 295.557 \, \text{g/mol} \][/tex]

2. Calculate the molar mass of [tex]\( \text{Fe}_2\text{S}_3 \)[/tex]:
- The molar mass of sulfur (S) is 32.06 g/mol.
- Therefore, the molar mass of [tex]\( \text{Fe}_2\text{S}_3 \)[/tex] is:
[tex]\[ \text{Molar mass of } \text{Fe}_2\text{S}_3 = 2 \times 55.845 + 3 \times 32.06 = 207.87 \, \text{g/mol} \][/tex]

3. Calculate the number of moles of [tex]\( \text{FeBr}_3 \)[/tex] given the mass:
- Given mass of [tex]\( \text{FeBr}_3 \)[/tex] is 449 grams.
- Using the molar mass of [tex]\( \text{FeBr}_3 \)[/tex]:
[tex]\[ \text{Moles of } \text{FeBr}_3 = \frac{449 \, \text{g}}{295.557 \, \text{g/mol}} = 1.5191655078377435 \, \text{mol} \][/tex]

4. Determine the stoichiometric relationship between [tex]\( \text{FeBr}_3 \)[/tex] and [tex]\( \text{Fe}_2\text{S}_3 \)[/tex]:
- According to the balanced chemical equation:
[tex]\[ 2 \, \text{FeBr}_3 + 3 \, \text{Na}_2\text{S} \rightarrow \text{Fe}_2\text{S}_3 + 6 \, \text{NaBr} \][/tex]
- 2 moles of [tex]\( \text{FeBr}_3 \)[/tex] produce 1 mole of [tex]\( \text{Fe}_2\text{S}_3 \)[/tex].

5. Calculate the number of moles of [tex]\( \text{Fe}_2\text{S}_3 \)[/tex] produced:
- For every 2 moles of [tex]\( \text{FeBr}_3 \)[/tex], 1 mole of [tex]\( \text{Fe}_2\text{S}_3 \)[/tex] is produced.
- Therefore, the moles of [tex]\( \text{Fe}_2\text{S}_3 \)[/tex] produced is:
[tex]\[ \text{Moles of } \text{Fe}_2\text{S}_3 = \frac{1.5191655078377435}{2} = 0.7595827539188718 \, \text{mol} \][/tex]

Thus, the complete reaction of 449 grams of [tex]\( \text{FeBr}_3 \)[/tex] would produce 0.7595827539188718 moles of [tex]\( \text{Fe}_2\text{S}_3 \)[/tex].
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.