Ammonia (NH3) is commonly used in household cleaners. If there were 5.31 × 1023 molecules of NH3, what was the mass of ammonia in grams? ____________ g NH3. Do NOT enter unit in your answer. Report your answer with 3 SFs.
since 1 mole = 6.023*10^23 molecules, you have
5.31/6,023 = 0.8816 moles
Now multiply that by the mol wt of NH3, which is approximately 14+3=17
0.88*17 = ___ grams
To calculate the mass of ammonia (NH3) in grams, you need to use the concept of molar mass.
The molar mass of NH3 is obtained by adding up the atomic masses of nitrogen (N) and hydrogen (H) in one molecule of NH3.
The atomic mass of nitrogen (N) is approximately 14.01 g/mol, and the atomic mass of hydrogen (H) is approximately 1.01 g/mol.
Therefore, the molar mass of NH3 is:
1(N) + 3(H) = 14.01 g/mol + 3(1.01 g/mol) = 17.03 g/mol (rounded to 3 significant figures).
Now that we know the molar mass of NH3, we can use Avogadro's number (6.02 × 10^23) to convert the number of molecules into moles.
Given that there are 5.31 × 10^23 molecules of NH3, we can calculate the number of moles by dividing this value by Avogadro's number:
5.31 × 10^23 molecules ÷ 6.02 × 10^23/mol = 0.881 moles (rounded to 3 significant figures).
To find the mass of ammonia in grams, we can multiply the number of moles by the molar mass:
0.881 moles NH3 x 17.03 g/mol NH3 = 15.00 grams NH3 (rounded to 3 significant figures).
Therefore, the mass of ammonia (NH3) is 15.00 grams.
To calculate the mass of ammonia (NH3) given the number of molecules, you need to use the concept of molar mass and Avogadro's number.
1. Molar Mass of NH3:
The molar mass of NH3 is calculated by summing the atomic masses of nitrogen (N) and hydrogen (H). Nitrogen has an atomic mass of approximately 14.01 g/mol, while hydrogen has an atomic mass of approximately 1.01 g/mol. Since ammonia has three hydrogen atoms, the molar mass of NH3 is:
Molar mass of NH3 = (1 × 14.01 g/mol) + (3 × 1.01 g/mol) = 17.03 g/mol
2. Avogadro's Number:
Avogadro's number represents the number of particles (atoms, molecules) in one mole of a substance. It is approximately 6.022 × 10^23 particles/mol.
3. Calculation:
Given that there are 5.31 × 10^23 molecules of NH3, we can use the following steps to find the mass of ammonia in grams:
Step 1: Determine the number of moles of NH3 by dividing the number of molecules by Avogadro's number.
Number of moles = (5.31 × 10^23 molecules) / (6.022 × 10^23 molecules/mol) = 0.882 mol
Step 2: Calculate the mass of NH3 by multiplying the number of moles by the molar mass of NH3.
Mass = (0.882 mol) × (17.03 g/mol) = 15.02 g (rounded to three significant figures)
Therefore, the mass of ammonia (NH3) is approximately 15.02 grams.