Calculate the mass of 2.50 x 104 molecules of nitrogen gas?
To calculate the mass of a given number of molecules of a compound, you need to use the concept of molar mass and Avogadro's number.
1. Start by determining the molar mass of nitrogen gas (N2). Nitrogen gas consists of two nitrogen atoms, each with a molar mass of 14.01 g/mol. Therefore, the molar mass of nitrogen gas is 2 * 14.01 = 28.02 g/mol.
2. Next, convert the given number of molecules (2.50 x 10^4 molecules) to moles. To do this, divide the number of molecules by Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol.
(2.50 x 10^4 molecules) / (6.022 x 10^23 molecules/mol) ≈ 4.15 x 10^-20 mol
3. Finally, multiply the number of moles by the molar mass of nitrogen gas to calculate the mass.
(4.15 x 10^-20 mol) * (28.02 g/mol) ≈ 1.16 x 10^-18 g
Therefore, the mass of 2.50 x 10^4 molecules of nitrogen gas is approximately 1.16 x 10^-18 grams.