First, understand that the problem requires calculating the mass of a single molecule of NH₃ (ammonia) in grams. To do this, we need to use the molar mass of NH₃ and Avogadro's number.
Calculate the molar mass of NH₃. NH₃ consists of one nitrogen (N) atom and three hydrogen (H) atoms. Use the atomic masses: nitrogen is approximately 14.01 g/mol and hydrogen is approximately 1.01 g/mol. The molar mass of NH₃ is calculated as: .
Once you have the molar mass of NH₃, use Avogadro's number, which is molecules/mol, to find the mass of one molecule. The mass of one molecule is the molar mass divided by Avogadro's number.
Set up the equation to find the mass of one molecule: . Substitute the values you calculated for the molar mass and Avogadro's number.
Perform the division to find the mass of one molecule of NH₃ in grams. This will give you the mass of a single NH₃ molecule, which should match one of the provided options.