How many grams of iron are there in a sample of Fe3O4 which weighs 8.338 g?
6.033?
find the mole fraction first.
g Fe/total mass
3(__g Fe)/(__g Fe3O4)=?
then multiply that number with 8.338g
To find the number of grams of iron in a sample of Fe3O4, you need to consider the molar mass of Fe3O4 and the molar mass of iron.
Molar mass of Fe3O4:
Fe (iron) has a molar mass of 55.845 g/mol
O (oxygen) has a molar mass of 16.00 g/mol
Fe3O4 has three iron atoms and four oxygen atoms, so its molar mass is:
(3 * 55.845 g/mol) + (4 * 16.00 g/mol) = 231.532 g/mol
Now we can calculate the grams of iron in the sample using the molar ratio between Fe and Fe3O4.
Molar mass of iron:
Fe (iron) has a molar mass of 55.845 g/mol
The molar ratio between Fe and Fe3O4:
Fe3O4 has a molar mass of 231.532 g/mol.
In one mole of Fe3O4, there are three moles of iron (Fe).
So the molar ratio between Fe and Fe3O4 is 3:1.
To find the grams of iron in the sample:
1. Calculate the number of moles of Fe3O4 in the sample:
moles of Fe3O4 = mass of Fe3O4 / molar mass of Fe3O4
moles of Fe3O4 = 8.338 g / 231.532 g/mol
moles of Fe3O4 = 0.036 moles
2. Calculate the number of moles of Fe in the sample:
moles of Fe = moles of Fe3O4 * (3 moles of Fe / 1 mole of Fe3O4)
moles of Fe = 0.036 moles * (3 moles of Fe / 1 mole of Fe3O4)
moles of Fe = 0.108 moles
3. Calculate the grams of iron in the sample:
grams of iron = moles of Fe * molar mass of Fe
grams of iron = 0.108 moles * 55.845 g/mol
grams of iron = 6.029 g
Therefore, there are approximately 6.029 grams of iron in the sample of Fe3O4 weighing 8.338 g.
To calculate the number of grams of iron (Fe) in a sample of Fe3O4, we need to consider the molar mass and stoichiometry of Fe3O4.
1. Begin by finding the molar mass of Fe3O4:
- The atomic mass of iron (Fe) is 55.845 g/mol.
- The atomic mass of oxygen (O) is 16.00 g/mol.
- Since there are 3 iron atoms and 4 oxygen atoms in Fe3O4, the molar mass can be calculated as follows:
Molar mass of Fe3O4 = (3 * 55.845 g/mol) + (4 * 16.00 g/mol)
2. Calculate the molar mass:
Molar mass of Fe3O4 = (3 * 55.845 g/mol) + (4 * 16.00 g/mol)
= 231.532 g/mol
3. Now, we can determine the number of moles of Fe3O4 using the given mass and molar mass:
Moles of Fe3O4 = Mass of sample / Molar mass of Fe3O4
Moles of Fe3O4 = 8.338 g / 231.532 g/mol
4. Finally, determine the grams of iron (Fe) in the sample by multiplying the number of moles of Fe3O4 by the molar mass of iron (Fe):
Grams of Fe = Moles of Fe3O4 * (3 * 55.845 g/mol)
Grams of Fe = (8.338 g / 231.532 g/mol) * (3 * 55.845 g/mol)
5. Calculate the answer:
Solve the equation to find the grams of iron.
By following these steps, you can determine the number of grams of iron in a sample of Fe3O4 weighing 8.338 g.