At standard temperature and pressure (STP), the molar volume of an ideal gas occupies ____.

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

Answer: (D)

Verified step by step guidance

1. Understand 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. Recall that STP is defined as a temperature of 0°C (273 K) and a pressure of 1 atm.
3. Use the ideal gas law formula: \(P \times V = n \times R \times T\), 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, \(T = 273\) K, and use \(R = 0.0821\) 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 values to find the molar volume at STP.