1. The Ideal Gas Law
The Ideal Gas Law is:
PV = nRT
Where:
* P = Pressure (in Pascals)
* V = Volume (in cubic meters)
* n = Number of moles
* R = Ideal Gas Constant (8.314 J/mol·K)
* T = Temperature (in Kelvin)
2. Convert Units
* Pressure: Convert kPa to Pascals: 204.67 kPa * 1000 Pa/kPa = 204670 Pa
3. Rearrange the Ideal Gas Law to Solve for Volume (V)
V = (nRT) / P
4. Plug in the Values
V = (0.08 mol * 8.314 J/mol·K * 300 K) / 204670 Pa
5. Calculate the Volume
V ≈ 0.00097 m³
6. Convert to a More Convenient Unit
* Cubic meters to liters: 0.00097 m³ * 1000 L/m³ ≈ 0.97 L
Therefore, you would need approximately 0.97 liters to store 0.08 moles of helium gas at 204.67 kPa and 300 K.