How many molecules are in 1.60 g of SO2?

Answer in units of molec

225

32j

To determine the number of molecules in 1.60 g of SO2, we need to follow these steps:

Step 1: Find the molar mass of SO2.
The molar mass of sulfur (S) is 32.06 g/mol, and the molar mass of oxygen (O) is 16.00 g/mol. Since SO2 has one sulfur atom and two oxygen atoms, we can calculate its molar mass:
Molar mass of SO2 = (1 * molar mass of S) + (2 * molar mass of O) = (1 * 32.06 g/mol) + (2 * 16.00 g/mol) = 64.12 g/mol.

Step 2: Calculate the number of moles.
To find the number of moles, we'll use the formula: moles = mass / molar mass.
moles = 1.60 g / 64.12 g/mol = 0.0249 mol.

Step 3: Convert moles to molecules.
Since 1 mole of any substance contains Avogadro's number of molecules (6.022 x 10^23), we can convert moles to molecules by multiplying the number of moles by Avogadro's number:
number of molecules = moles * Avogadro's number
number of molecules = 0.0249 mol * 6.022 x 10^23 molecules/mol.

Calculating this gives us:
number of molecules = 1.50 x 10^22 molecules.

Therefore, there are approximately 1.50 x 10^22 molecules in 1.60 g of SO2.

1.60 g SO2 x molar mass of SO2 (1 mole/ 64.06g)

= # moles of SO2 x 6.02e23 molecules/ 1 mole SO2
= #molecules of SO2