Calculate the number of atoms in 50dm³ nitrogen gas

Answer 1

To calculate the number of atoms in 50 dm³ of nitrogen gas (N₂), we need to use Avogadro's number and the molar volume of a gas at standard temperature and pressure (STP).

1. Convert 50 dm³ to liters:
50 dm³ = 50 liters

2. Determine the molar volume at STP:
At STP, 1 mole of any gas occupies 22.4 liters.

3. Calculate the number of moles of nitrogen gas:
50 liters / 22.4 liters/mol = 2.23 moles

4. Use Avogadro's number to calculate the number of atoms:
1 mole of any substance contains 6.022 x 10²³ entities (atoms, molecules, etc.).

2.23 moles x (6.022 x 10²³ atoms/mole) = 1.3443 x 10²⁴ atoms

Therefore, there are approximately 1.3443 x 10²⁴ atoms in 50 dm³ of nitrogen gas.