1. Ideal Gas Law:
The ideal gas law describes the relationship between pressure (P), volume (V), temperature (T), and the number of moles (n) of a gas:
PV = nRT
Where:
* R is the ideal gas constant (0.0821 L·atm/mol·K)
2. Rearrange for 'n':
To find the number of moles (n), we rearrange the equation:
n = PV / RT
3. Plug in the values:
* P = 1 atm
* V = 3 L
* T = 293 K
* R = 0.0821 L·atm/mol·K
n = (1 atm * 3 L) / (0.0821 L·atm/mol·K * 293 K)
4. Calculate:
n ≈ 0.124 moles
Therefore, there are approximately 0.124 moles of air in the 3 L container.