The volume occupied by a single gas in a mixture at the same temperature and pressure is referred to as the single-gas volume

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BPSC AE Paper III General Studies 18 Dec 2024 Official Paper
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  1. Total volume of a gas mixture
  2. Absolute volume
  3. Partial volume
  4. None of the above

Answer (Detailed Solution Below)

Option 3 : Partial volume
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The correct answer is Partial volume.

Key Points

  • The term partial volume refers to the volume that a single gas in a mixture would occupy if it were alone at the same temperature and pressure.
  • Partial volume is a critical concept in gas mixtures and is directly related to Dalton's Law of Partial Pressures.
  • This concept helps understand the contribution of individual gases to the total volume of the mixture under identical conditions.
  • The sum of all partial volumes of the gases in a mixture equals the total volume of the mixture at constant temperature and pressure.
  • This principle is widely used in fields such as thermodynamics, chemistry, and engineering to analyze gas behavior in mixtures.

Additional Information

  • Dalton's Law of Partial Pressures:
    • States that the total pressure of a gas mixture is the sum of the partial pressures of individual gases.
    • Each gas in the mixture behaves independently of others, contributing to the total pressure based on its mole fraction.
  • Ideal Gas Law:
    • Expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
    • This law is fundamental in understanding gas behavior under different conditions.
  • Mole Fraction:
    • The ratio of the number of moles of a particular gas to the total moles in the mixture.
    • It determines the proportional contribution of each gas to the total pressure and volume.
  • Applications of Partial Volume:
    • Used in respiratory physiology to analyze the composition of inhaled and exhaled gases.
    • Essential in chemical engineering processes involving gas-phase reactions.
  • Real vs. Ideal Gases:
    • While partial volume calculations are straightforward for ideal gases, real gases may deviate due to intermolecular forces and non-ideal behavior.
    • Corrections such as the Van der Waals equation are applied for real gases.
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