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JEE Main2014ChemistryStates of MatterActual

If Z is the compressibility factor, then Van der Waal's equation at low pressure can be written as:

Options

  1. AZ = 1 + RT Pb
  2. BZ = 1 - a VRT
  3. CZ = 1 - Pb RT
  4. DZ = 1 + Pb RT

Correct answer

B. Z = 1 - a VRT

Step-by-step solution

Van der Waal's Equation of state for one mole P + a V 2 V - b = RT At low pressure, the characteristic constant (a) becomes significant whereas (b) becomes negligible. So (b) is ignored. P + a V 2 V = RT PV + a V = RT PV RT = RT RT - a VRT = 1 - a VRT At low pressure for most gases z < 1.

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