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JEE Advanced2006ChemistryStates of MatterActual

The given graph represent the variations of compressibility factor (Z)= P V n R T versus P , for three real gases A, B and C . Identify the only incorrect statement

Options

  1. AFor the gas A, a=0 and its dependence on P is linear at all pressure.
  2. BFor the gas B, b=0 and its dependence on P is linear at all pressure.
  3. CFor the gas C , which is typical real gas for which neither a nor b=0 . By knowing the minima and point of the
  4. DAt high pressure, the slope is positive for all real gases.

Correct answer

B. For the gas B, b=0 and its dependence on P is linear at all pressure.

Step-by-step solution

From the graph it is clear that the value of Z decreases with increase of pressure. We can explain as follows on the basis of van der Waals' equation. At high pressure, when ' P ' is large, V will be small and one can not ignore ' b ' in comparison to V . However, the term a V^2 may be considered negligible in comparison to ' p ' in van der Waals' equation or aligned (p+ a V^2 )(V-b) & =n R T P(V-b) & =n R T p V-p b & =n R T p V n R T & =1+ p b n R T Z & =1+ p b n R T aligned or Here, Z is greater than one and it i

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