1. Understand the Ideal Gas Law

The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas:

PV = nRT

Where:

* R is the ideal gas constant (8.314 J/mol·K)

2. Convert Units

* Pressure: The pressure is given in kPa (kilopascals). Convert it to Pascals (Pa): 204.6 kPa = 204600 Pa

* Temperature: The temperature is given in Kelvin (K), which is the correct unit for the Ideal Gas Law.

3. Rearrange the Ideal Gas Law to Solve for Volume

V = (nRT) / P

4. Plug in the Values

V = (0.80 mol * 8.314 J/mol·K * 300 K) / 204600 Pa

5. Calculate the Volume

V ≈ 0.0097 m³

6. Convert to Liters (Optional)

Since 1 m³ = 1000 L, the volume in liters is:

V ≈ 9.7 L

Therefore, you would need approximately 9.7 liters to store 0.80 moles of helium gas at 204.6 kPa and 300 K.