College

How many moles of [tex]$\text{Fe}_2\text{O}_3$[/tex] are in 193 g of the compound?

Answer :

there are approximately 1.214 moles of [tex]Fe_2O_3[/tex] in 193 g of the compound.

To find the number of moles of [tex]Fe_2O_3[/tex] in 193 g, we'll first determine the molar mass of [tex]Fe_2O_3[/tex] and then use the formula moles = mass / molar mass.

Calculate the molar mass of [tex]Fe_2O_3[/tex]: Iron (Fe) has an atomic mass of 55.85 g/mol, and Oxygen (O) has 16.00 g/mol. Since there are two iron atoms and three oxygen atoms in [tex]Fe_2O_3[/tex], we'll multiply the atomic masses accordingly:

[tex]Fe_2O_3[/tex] = (2 * 55.85) + (3 * 16.00)

= 111.70 + 48.00

= 159.70 g/mol

Determine the number of moles of [tex]Fe_2O_3[/tex] in 193 g: moles = mass / molar mass moles = 193 g / 159.70 g/mol = 1.214 moles

So, there are approximately 1.214 moles of [tex]Fe_2O_3[/tex] in 193 g of the compound.