calculate the number of atoms of N in .75 moles N2 and in 40g of N2O.
There are 6.022 x 10^23 molecules in 1 mole of N2/ Find molecules N2 and multiply x 2 to find number of atoms.
Convert 40 g N2O to moles and go from there with the above information.
To calculate the number of atoms of nitrogen (N) in a given sample, we need to use Avogadro's number and the molar mass of the compound.
Avogadro's number (NA) is approximately 6.022 x 10^23 atoms per mole. This means that there are 6.022 x 10^23 atoms in one mole of any substance.
First, let's calculate the number of moles of N2 in the given sample.
1. For 0.75 moles of N2:
The molar mass of N2 is 28.02 g/mol (14.01 g/mol for each nitrogen atom).
Number of moles of N2 = 0.75 moles
Next, let's calculate the number of atoms of N in 0.75 moles of N2.
Number of atoms of N = (Number of moles of N2) * (Avogadro's number)
= 0.75 moles * 6.022 x 10^23 atoms/mole (Avogadro's number)
= 4.5165 x 10^23 atoms
Therefore, there are approximately 4.5165 x 10^23 atoms of nitrogen (N) in 0.75 moles of N2.
Now, let's calculate the number of moles of N2O in the given sample.
2. For 40 g of N2O:
The molar mass of N2O is 44.02 g/mol (14.01 g/mol for each nitrogen atom and 16.00 g/mol for oxygen).
Number of moles of N2O = (Mass of N2O) / (Molar mass of N2O)
= 40 g / 44.02 g/mol (molar mass of N2O)
= 0.9082 moles
Finally, let's calculate the number of atoms of N in 40 g of N2O.
Number of atoms of N = (Number of moles of N2O) * (Number of moles of N per mole of N2O) * (Avogadro's number)
= 0.9082 moles * 2 moles * 6.022 x 10^23 atoms/mole (Avogadro's number)
= 1.093 x 10^24 atoms
Therefore, there are approximately 1.093 x 10^24 atoms of nitrogen (N) in 40 g of N2O.