How many moles of ammonia contain each of the following number of molecules?
Note: Reference the Fundamental constants table for additional information.
Be sure your answer has the correct number of significant figures.
2.27x10^26 molecules
8.88x10^22 molecules
7.7x10^24 molecules
To calculate the number of moles in each case, we will use the fact that one mole of any substance contains Avogadro's number of molecules, which is approximately 6.022 x 10^23 molecules.
1. For 2.27 x 10^26 molecules:
Number of moles = (2.27 x 10^26 molecules) / (6.022 x 10^23 molecules/mole) = 3.77 moles ≈ 3.8 moles
2. For 8.88 x 10^22 molecules:
Number of moles = (8.88 x 10^22 molecules) / (6.022 x 10^23 molecules/mole) = 0.147 moles ≈ 0.15 moles
3. For 7.7 x 10^24 molecules:
Number of moles = (7.7 x 10^24 molecules) / (6.022 x 10^23 molecules/mole) = 12.8 moles ≈ 13 moles
Therefore, each of the following number of molecules contains:
- 2.27 x 10^26 molecules contains approximately 3.8 moles
- 8.88 x 10^22 molecules contains approximately 0.15 moles
- 7.7 x 10^24 molecules contains approximately 13 moles