How many moles of phosphorus atoms are in 100 grams of P4S10?
To determine the number of moles of phosphorus atoms in 100 grams of P4S10, we need to use the molar mass and the Avogadro's number.
1. Start by calculating the molar mass of P4S10:
P4S10 = (4 * atomic mass of Phosphorus) + (10 * atomic mass of Sulfur)
From the periodic table, the atomic mass of Phosphorus is approximately 31 grams/mole, and the atomic mass of Sulfur is approximately 32 grams/mole.
Molar mass of P4S10 = (4 * 31 g/mol) + (10 * 32 g/mol) = 124 g/mol + 320 g/mol = 444 g/mol
2. Determine the number of moles using the formula:
moles = mass / molar mass
Moles of P4S10 = 100 g / 444 g/mol ≈ 0.225 moles
3. Since there are four phosphorus atoms in one molecule of P4S10, we can calculate the number of moles of phosphorus atoms:
Moles of phosphorus atoms = Moles of P4S10 * 4
Moles of phosphorus atoms = 0.225 moles * 4 = 0.9 moles
Therefore, there are approximately 0.9 moles of phosphorus atoms in 100 grams of P4S10.
To determine the number of moles of phosphorus atoms in a given sample of P4S10, you need to follow a few steps:
1. Determine the molar mass of P4S10:
- The molar mass of one phosphorus atom (P) is 30.97 grams/mole.
- The molar mass of one sulfur atom (S) is 32.07 grams/mole.
- P4S10 consists of four phosphorus atoms and ten sulfur atoms.
- Therefore, the molar mass of P4S10 is: (4 x 30.97 g/mole) + (10 x 32.07 g/mole) = 444.06 grams/mole.
2. Convert the mass of the sample from grams to moles:
- Use the formula: Moles = Mass / Molar mass.
- In this case, the mass is given as 100 grams.
- Divide the given mass by the molar mass of P4S10:
100 g / 444.06 g/mole = 0.2250 moles.
3. Calculate the number of moles of phosphorus atoms:
- In P4S10, there are four phosphorus (P) atoms.
- Therefore, multiply the number of moles of P4S10 by the number of phosphorus atoms:
0.2250 moles x 4 = 0.9000 moles.
Therefore, there are 0.9000 moles of phosphorus atoms in 100 grams of P4S10.
100g / 444.55504g = .225 x 4 = 0.900
Is this right?