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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg154

In the reduced form of the van der Waals equation, , where , and . Which statements are correct?

  1. AThe equation contains no constants characteristic of any particular gas
  2. BAt the critical point satisfies the equation
  3. CTwo gases at the same and have the same
  4. DThe equation implies is the same for all van der Waals gases

Answer: A, B, C, D

Dividing by the critical constants removes , and (A true). Substituting : , which holds (B true). Since the equation is universal, equal and give equal , the law of corresponding states (C true). for every gas obeying the equation (D true).
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