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For one mole of a van der Waals when b = 0 and T = 300 K, the PV vs. 1/V plot is shown below. The value of the van der Waals constant a (atm litre 2 mol -2 ) is:

Options

  1. A1.0
  2. B4.5
  3. C1.5
  4. D3.0

Correct answer

C. 1.5

Step-by-step solution

van der Waals equation for 1 mol of real gas is P + a V 2 V - b = RT Given that b = 0 ∴ P + a V 2 V = RT ∴ PV = RT - a V ........ (i) Following y = mx + c for the curve PV vs 1 V Slope = - a Slope = 21.6 - 20.1 2 - 3 = - 1.5 ∴ a = 1.5

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