At standard temperature and pressure (STP), what is the molar volume of an ideal gas?

• A. 1.00 L
• B. 22.4 L
• C. 0.0821 L
• D. 273 L

Answer: (B)

Verified step by step guidance

1. Recall that the molar volume of an ideal gas is the volume occupied by one mole of the gas at standard temperature and pressure (STP).
2. Standard temperature and pressure (STP) is defined as a temperature of 0°C (273.15 K) and a pressure of 1 atm.
3. Use the Ideal Gas Law equation: \(P \times V = n \times R \times T\), where \(P\) is pressure, \(V\) is volume, \(n\) is number of moles, \(R\) is the ideal gas constant, and \(T\) is temperature in Kelvin.
4. Set \(n = 1\) mole, \(P = 1\) atm, \(T = 273.15\) K, and use the gas constant \(R = 0.0821\) L·atm/(mol·K) to solve for \(V\).
5. Rearrange the Ideal Gas Law to solve for volume: \(V = \frac{n \times R \times T}{P}\), then substitute the known values to find the molar volume at STP.