Chemical Calculation: Number of Sulfur Atoms in CS₂

How do we calculate the number of sulfur atoms in 5.0 grams of CS₂?

Given data: The number of sulfur atoms in 5.0 grams of CS₂ is 9.37 x 10²². What steps do we need to take to determine this value?

Calculation to Determine the Number of Sulfur Atoms in 5.0 grams of CS₂

To calculate the number of sulfur atoms in 5.0 grams of CS₂, we need to follow these steps:

1. Determine the molar mass of sulfur, which is 32.06 g/mol.

2. Calculate the number of moles of sulfur in 5.0 grams of CS₂ by dividing the mass by the molar mass.
5.0 grams / 32.06 g/mol = 0.156 moles

3. Since one mole of sulfur contains 6.022 x 10²³ sulfur atoms, we can find the number of sulfur atoms in 5.0 grams of CS₂ by multiplying the number of moles by Avogadro's number.
0.156 moles * 6.022 x 10²³ atoms/mol = 9.37 x 10²² sulfur atoms

Therefore, the calculation shows that there are 9.37 x 10²² sulfur atoms in 5.0 grams of CS₂.