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JEE Main202329 Jan 2023Morning ShiftChemistryStates of MatterActual

For 1 mol of gas, the plot of pV vs p is shown below. p is the pressure and V is the volume of the gas. What is the value of compressibility factor at point A ?

Options

  1. A1 - a RTV
  2. B1 + b V
  3. C1 - b V
  4. D1 + a RTV

Correct answer

A. 1 - a RTV

Step-by-step solution

According to Van der Waals equation, ( P   +   a V m 2 )   ( V m   -   b )   =   RT Where, V m = molar volume of the gas R   = Universal gas constant T = Temperature P = Pressure At point A 'a' is considerable and 'b' is negligible. So, ( P   +   a V m 2 )   V m   =   RT PV m   +   a V m   =   RT Compressibility factor ( Z ) = 1   -   a V m RT Hence, the correct answer is 1   -   a RTV

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