How many molecules are in 1.60 g of SO2?
Answer in units of molec
mols = grams/molar mass
# molecules = mols x 6.02E23 = ?
To determine the number of molecules in 1.60 g of SO2, you need to use the concept of molar mass and Avogadro's number.
1. Start by determining the molar mass of SO2, which stands for sulfur dioxide. The molar mass is given by the sum of the atomic masses of all the atoms in the molecule. The atomic masses of sulfur (S) and oxygen (O) are approximately 32.07 g/mol and 16.00 g/mol, respectively. Thus, the molar mass of SO2 is:
Molar mass of SO2 = (1 × molar mass of S) + (2 × molar mass of O)
= (1 × 32.07 g/mol) + (2 × 16.00 g/mol)
= 64.07 g/mol
2. Next, convert the given mass of SO2 to moles using the formula:
moles = mass (g) / molar mass (g/mol)
moles of SO2 = 1.60 g / 64.07 g/mol ≈ 0.025 mol
3. Avogadro's number states that there are 6.022 × 10^23 molecules in 1 mole of a substance. So, to find the number of molecules in 0.025 moles of SO2, multiply the moles of SO2 by Avogadro's number:
Number of molecules = moles of SO2 × Avogadro's number
≈ 0.025 mol × (6.022 × 10^23 molec/mol)
≈ 1.5055 × 10^22 molec
Therefore, there will be approximately 1.5055 × 10^22 molecules in 1.60 g of SO2.