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JEE Advanced levelSingle correct optionDifficulty 3 of 3rg033

A van der Waals gas is at a temperature exactly equal to its Boyle temperature. At moderate pressure, the compressibility factor is

  1. Aexactly 1 at all pressures
  2. Bslightly greater than 1, because higher order terms in do not cancel
  3. Cslightly less than 1, because attraction always wins
  4. Dequal to 3/8

Answer: B

At only the first-order term in (the second virial coefficient) vanishes. The third virial coefficient term, which for a van der Waals gas is positive (), still contributes, so is slightly above 1 once the pressure is appreciable. Boyle's law is therefore obeyed only approximately and over a limited range.
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