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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg009

Consider the plot of against for a real gas at a fixed temperature that is below its Boyle temperature. Which statements are correct?

  1. A tends to 1 as tends to zero
  2. BThe initial slope at is negative
  3. CAt sufficiently high , exceeds 1 and rises almost linearly with
  4. DThe pressure at which again (after the minimum) is independent of temperature

Answer: A, B, C

Every gas approaches ideal behaviour as , so (A true). Below the Boyle temperature attractions dominate at low pressure, so first falls, giving a negative initial slope (B true). At high pressure the excluded volume term dominates and , which rises linearly (C true). The crossing pressure where returns to 1 depends on because the attraction term changes with (D false).
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