• Home
  • Chemistry
  • Astronomy
  • Energy
  • Nature
  • Biology
  • Physics
  • Electronics
  • Calculating Volume for Helium Gas: Ideal Gas Law Application
    Here's how to solve this problem using the Ideal Gas Law:

    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.

    Science Discoveries © www.scienceaq.com