Sulfer trioxide, SO3, is made industrially in enormous quantities by combining oxygen and sulfer dioxide, SO2. What amount (moles) of SO3 is represented by 1.00 kg of sulfur trioxide? How many molecules? How many sulfer atoms? How many oxygen atoms?
1,000 g SO3 x (1 mole SO3/molar mass SO3)= moles SO3.
You know there are 6.022 x 10^23 molecules in 1 mole of anything.
Since there is 1 atom S in a molecule of SO3, the number of atoms S must be the same as the number of molecules SO3.
Since there are 3 oxygen atoms per molecule of SO3, there must be 3 times the number of atoms O as there are of molecules SO3.
80070
0.6g
To determine the amount of sulfur trioxide in moles, you can use its molar mass and the given mass in kilograms.
1. Calculate the molar mass of sulfur trioxide (SO3):
Sulfur (S) has a molar mass of 32.06 g/mol, and oxygen (O) has a molar mass of 16.00 g/mol. Since sulfur trioxide has one sulfur atom and three oxygen atoms, the molar mass can be calculated as follows:
Molar mass of SO3 = (1 * molar mass of S) + (3 * molar mass of O)
= (1 * 32.06 g/mol) + (3 * 16.00 g/mol)
= 32.06 g/mol + 48.00 g/mol
= 80.06 g/mol
2. Convert the mass of sulfur trioxide from kilograms to grams:
1.00 kg = 1000 g (since there are 1000 grams in a kilogram)
3. Determine the number of moles of sulfur trioxide:
Moles = mass / molar mass
Moles = 1000 g / 80.06 g/mol
Moles ≈ 12.49 mol (rounded to two decimal places)
Therefore, 1.00 kg of sulfur trioxide is approximately equal to 12.49 moles of SO3.
To find the number of molecules and atoms, you can use Avogadro's number:
1 mole of any substance contains 6.022 x 10^23 particles (atoms, molecules, etc.).
4. Determine the number of molecules of sulfur trioxide:
Number of molecules = Moles of SO3 * Avogadro's number
Number of molecules = 12.49 mol * (6.022 x 10^23 molecules/mol)
Number of molecules ≈ 7.525 x 10^24 molecules (rounded to four decimal places)
5. Determine the number of sulfur atoms:
Since there is 1 sulfur atom in each molecule of SO3, the number of sulfur atoms is equal to the number of molecules of SO3:
Number of sulfur atoms ≈ 7.525 x 10^24 atoms
6. Determine the number of oxygen atoms:
Since there are 3 oxygen atoms in each molecule of SO3, the total number of oxygen atoms can be calculated as:
Number of oxygen atoms = Number of molecules of SO3 * 3
Number of oxygen atoms ≈ 7.525 x 10^24 molecules * 3
Number of oxygen atoms ≈ 2.2575 x 10^25 atoms
Therefore, 1.00 kg of sulfur trioxide is approximately equal to 12.49 moles, 7.525 x 10^24 molecules, 7.525 x 10^24 sulfur atoms, and 2.2575 x 10^25 oxygen atoms.