1. Ideal Gas Law
The ideal gas law is the foundation for this calculation:
PV = nRT
Where:
* P = Pressure (in atmospheres)
* V = Volume (in liters)
* n = Number of moles
* R = Ideal gas constant (0.0821 L·atm/mol·K)
* T = Temperature (in Kelvin)
2. Plug in the Values
* P = 1.3 atm
* n = 2 moles
* R = 0.0821 L·atm/mol·K
* T = 300 K
3. Solve for Volume (V)
V = (nRT) / P
V = (2 moles * 0.0821 L·atm/mol·K * 300 K) / 1.3 atm
V ≈ 38.0 L
Therefore, the volume of oxygen occupied by 2 moles at 1.3 ATM pressure and 300K is approximately 38.0 liters.