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How many grams of [tex]$O_2$[/tex] are required to produce 100.0 g of [tex]$SO_2$[/tex]?

Given reaction:
[tex]4 \text{FeS}_2 + 11 \text{O}_2 \rightarrow 2 \text{Fe}_2\text{O}_3 + 8 \text{SO}_2[/tex]

Options:
A. 36.3 g
B. 49.9 g
C. 68.78 g
D. No correct answer given

Answer :

Final answer:

To produce 100.0 g of SO2, approximately 68.64 grams of O2 are required.

option c is correct

Explanation:

To calculate the mass of O2 required to produce 100.0 g of SO2, we need to use the stoichiometric ratio between FeS2 and O2 from the balanced chemical equation.

The molar mass of O2 is 32.00 g/mol, and the molar mass of SO2 is 64.06 g/mol.

First, we calculate the number of moles of SO2:

moles of SO2 = mass of SO2 / molar mass of SO2

moles of SO2 = 100.0 g / 64.06 g/mol = 1.560 mol

Next, we use the stoichiometric ratio to find the number of moles of O2:

moles of O2 = (moles of SO2) x (moles of O2 / moles of SO2)

moles of O2 = 1.560 mol x (11 mol O2 / 8 mol SO2) = 2.145 mol

Finally, we calculate the mass of O2:

mass of O2 = moles of O2 x molar mass of O2

mass of O2 = 2.145 mol x 32.00 g/mol = 68.64 g

Learn more about calculating the mass of o2 required to produce a given mass of so2 here:

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