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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg014

The van der Waals constants of four gases are: W (, ), X (, ), Y (, ), Z (, ), with in and in . Which statements are correct?

  1. AZ is the most easily liquefied gas
  2. BY has the largest molecular size among the four
  3. CW is likely to show greater than 1 at all pressures at room temperature
  4. DX has a higher Boyle temperature than Y

Answer: A, B, C

Ease of liquefaction follows the strength of attraction, measured by : Z (ammonia-like) has the largest (A true). Molecular size is measured by , and Y has the largest (B true). W (helium-like) has a tiny , so its Boyle temperature is about and at room temperature the repulsive term wins everywhere (C true). : for X it is , for Y it is , so X has the lower value (D false).
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