At standard temperature and pressure (STP), which of the following samples occupies the greatest volume?

• A. 0.02 mol of O_2
• B. 1 mol of N_2
• C. 2 mol of H_2
• D. 0.1 mol of Cl_2

Answer: (C)

Verified step by step guidance

1. Recall that at standard temperature and pressure (STP), one mole of any ideal gas occupies the same volume, approximately 22.4 liters. This is a key concept known as Avogadro's law.
2. Identify the number of moles for each gas sample given: 0.02 mol of O_2, 1 mol of N_2, 2 mol of H_2, and 0.1 mol of Cl_2.
3. Use the relationship between moles and volume at STP: \(V = n \times 22.4\, \text{L}\), where \(n\) is the number of moles.
4. Calculate the volume for each gas by multiplying the number of moles by 22.4 L/mol (without performing the final multiplication, just set up the expressions):
5. Compare the volumes obtained for each gas sample to determine which one occupies the greatest volume.