To find the mass of N atoms in a given number of molecules of N2O, you need to know the molecular weight of N2O and the number of N atoms in each molecule.
The molecular weight of N2O is 44.01 g/mol. This means that 1 mole of N2O has a mass of 44.01 grams.
There are 2 N atoms in each molecule of N2O.
The number of moles of N2O is given as 1.37 × 10^17 molecules. To convert this number to moles, you can divide it by Avogadro's number, which is the number of atoms or molecules in one mole of a substance. Avogadro's number is approximately 6.022 × 10^23 atoms or molecules per mole.
Therefore, the number of moles of N2O can be calculated as:
1.37 × 10^17 molecules / (6.022 × 10^23 atoms or molecules per mole)
Which is equal to approximately 0.228 moles.
To find the mass of N atoms in this number of moles of N2O, you can multiply the number of moles by the number of N atoms per mole and the molecular weight of N2O:
0.228 moles * 2 N atoms/mole * 44.01 g/mol
This gives a mass of approximately 20.16 grams.
Therefore, there are approximately 20.16 grams of N atoms present in 1.37 × 10^17 molecules of N2O.