At standard temperature and pressure, how many liters does one mole of an ideal gas occupy?

At standard temperature and pressure, how many liters does one mole of an ideal gas occupy?

• A. 11.2 L
• B. 22.4 L
• C. 44.8 L
• D. 2.24 L

Answer: (B)

The main idea is the volume that one mole of an ideal gas occupies at standard temperature and pressure, which is set by PV = nRT. At STP, P is 1 atm and T is 0°C (273.15 K). Using R ≈ 0.08206 L·atm/(mol·K) and n = 1, the volume V = nRT/P = (1)(0.08206)(273.15)/1 ≈ 22.4 L. So one mole of an ideal gas at STP fills about 22.4 liters. The other numbers would correspond to different conditions (for example, higher pressure or lower temperature would reduce volume, while lower pressure or higher temperature would increase it).

The main idea is the volume that one mole of an ideal gas occupies at standard temperature and pressure, which is set by PV = nRT. At STP, P is 1 atm and T is 0°C (273.15 K). Using R ≈ 0.08206 L·atm/(mol·K) and n = 1, the volume V = nRT/P = (1)(0.08206)(273.15)/1 ≈ 22.4 L. So one mole of an ideal gas at STP fills about 22.4 liters. The other numbers would correspond to different conditions (for example, higher pressure or lower temperature would reduce volume, while lower pressure or higher temperature would increase it).