The compressibility factor Z equals PV over nRT. For an ideal gas its value is

Correct answer: B. exactly 1 at all pressures

  • A. zero
  • B. exactly 1 at all pressures
  • C. always greater than 1
  • D. always less than 1

Explanation

By definition an ideal gas satisfies PV equal to nRT exactly, so Z is one under every condition. For a real gas Z falls below one where attractive forces dominate and rises above one at high pressure where molecular volume dominates. Plotting Z against pressure is the standard way of displaying how far a gas departs from ideality.

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About Real and Ideal Gases

An ideal gas is modelled as particles with negligible volume and no intermolecular attraction, obeying Boyle's, Charles's and Avogadro's laws through PV = nRT. Real gases deviate from this behaviour, especially at high pressure and low temperature, because particle volume and attractive forces matter; the van der Waals equation explains these corrections.

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