What is the molar volume of a gas at STP?

The molar volume of a gas at Standard Temperature and Pressure (STP), which is defined as 0 degrees Celsius and 1 atmosphere pressure, is 22.4 liters. This is based on the ideal gas law and is applicable for an ideal gas.

Here are the steps to derive this:

1. The ideal gas law is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.

2. At STP, P = 1 atm, R = 0.0821 L·atm/(K·mol), and T = 273.15 K (0 degrees Celsius in Kelvin).

3. If we consider 1 mole of gas (n = 1), we can substitute these values into the ideal gas law:

   (1 atm) * V = (1 mol) * (0.0821 L·atm/(K·mol)) * (273.15 K)

4. Solving for V, we get V = 22.4 L.

So, the molar volume of a gas at STP is 22.4 liters.