An ore contains Fe3O4 and no other iron. The

iron in a 65.46 gram sample of the ore is all
converted by a series of chemical reactions to
Fe2O3. The mass of Fe2O3 is measured to be
37.9 grams. What was the percent Fe3O4 in
the sample of ore?
Answer in units of %

amount of iron in product

37.9g*(2* 55.84/(2* 55.84+16*3)(
how much Fe3O4 would this iron make?

moles Fe= (massironabove/55.84)
mole O= molesFe * 4/3

mass fe304=(2* moles Fe above+ 4 moles O above)* molemass Fe#O4)

percent Fe3O4 in ore= massFe3O4/65.46

To find the percent of Fe3O4 in the sample of ore, you need to determine the mass of Fe3O4 in the ore and then calculate its percentage of the total mass.

Let's break down the steps to solve this problem:

Step 1: Calculate the moles of Fe2O3
To convert between grams and moles, you need to know the molar mass of Fe2O3. The molar mass of Fe is approximately 55.85 g/mol, and the molar mass of O is approximately 16.00 g/mol. Thus, the molar mass of Fe2O3 is:
2(55.85 g/mol) + 3(16.00 g/mol) = 159.69 g/mol

The moles of Fe2O3 can be calculated using the mass and the molar mass:
moles of Fe2O3 = mass of Fe2O3 / molar mass of Fe2O3

moles of Fe2O3 = 37.9 g / 159.69 g/mol

Step 2: Determine the moles of Fe3O4
In the balanced chemical equation for the conversion reaction, 2 moles of Fe3O4 convert to 3 moles of Fe2O3. Thus, the moles of Fe3O4 can be calculated using the moles of Fe2O3:
moles of Fe3O4 = (2/3) * moles of Fe2O3

Step 3: Calculate the mass of Fe3O4
To determine the mass of Fe3O4, you can multiply the moles of Fe3O4 by its molar mass. The molar mass of Fe3O4 can be calculated as follows:
Molar mass of Fe3O4 = 3(55.85 g/mol) + 4(16.00 g/mol) = 231.54 g/mol

mass of Fe3O4 = moles of Fe3O4 * molar mass of Fe3O4

Step 4: Calculate the percentage of Fe3O4
Finally, to find the percent Fe3O4 in the sample, divide the mass of Fe3O4 by the total mass of the ore and multiply by 100:

% Fe3O4 = (mass of Fe3O4 / total mass of ore) * 100

In this case:
total mass of ore = 65.46 g

Now, you can substitute the values into the formula and calculate the percentage Fe3O4 in the sample.