What is the molar volume of an ideal gas at STP in liters per mole?

What is the molar volume of an ideal gas at STP in liters per mole?

• A. 10.0 L
• B. 24.0 L
• C. 22.4 L
• D. 44.8 L

Answer: (C)

Molar volume is the amount of space one mole of an ideal gas occupies at a given temperature and pressure. At STP, defined as 0°C and 1 atm, use PV = nRT. For one mole, V = RT/P. With R = 0.082057 L·atm/(mol·K) and T = 273.15 K, P = 1 atm, you get V = (0.082057 × 273.15) / 1 ≈ 22.414 L, commonly rounded to 22.4 L per mole. This is the standard molar volume for an ideal gas at STP. The other numbers reflect different conditions: at room temperature the molar volume is about 24 L/mol, while the values 10 L/mol and 44.8 L/mol don’t match STP and arise from other conditions or approximations.

Molar volume is the amount of space one mole of an ideal gas occupies at a given temperature and pressure. At STP, defined as 0°C and 1 atm, use PV = nRT. For one mole, V = RT/P. With R = 0.082057 L·atm/(mol·K) and T = 273.15 K, P = 1 atm, you get V = (0.082057 × 273.15) / 1 ≈ 22.414 L, commonly rounded to 22.4 L per mole. This is the standard molar volume for an ideal gas at STP. The other numbers reflect different conditions: at room temperature the molar volume is about 24 L/mol, while the values 10 L/mol and 44.8 L/mol don’t match STP and arise from other conditions or approximations.