How many molecules are in 24.0 g NO2?
Answer in units of molec.
mols NO = grams/molar mass
1 mol contains 6.02E23 molecules. So calculate molecules in that many moles.
To determine the number of molecules in a given amount of a substance, you need to use the concept of moles and the Avogadro's number. Here's how you can calculate the number of molecules in 24.0 g of NO2:
1. Find the molar mass of NO2:
The molar mass of nitrogen (N) is 14.01 g/mol, and the molar mass of oxygen (O) is 16.00 g/mol. Since NO2 consists of one nitrogen atom and two oxygen atoms, the molar mass of NO2 is:
Molar mass of NO2 = (14.01 g/mol) + 2(16.00 g/mol) = 46.01 g/mol
2. Convert the given mass to moles:
To convert grams to moles, divide the given mass by the molar mass of NO2:
Moles of NO2 = (24.0 g) / (46.01 g/mol)
3. Use Avogadro's number to find the number of molecules:
Avogadro's number is approximately 6.022 x 10^23 molecules/mol. Multiply the number of moles by Avogadro's number to obtain the number of molecules:
Number of molecules = Moles of NO2 x Avogadro's number
Now let's calculate it step by step:
1. Molar mass of NO2 = 46.01 g/mol
2. Moles of NO2 = (24.0 g) / (46.01 g/mol) ≈ 0.521 mol
3. Number of molecules = 0.521 mol x (6.022 x 10^23 molecules/mol)
This comes out to approximately 3.13 x 10^23 molecules.
Therefore, there are approximately 3.13 x 10^23 molecules in 24.0 g NO2.