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In the van der Waals equation (P + (n^...

In the van der Waals equation
`(P + (n^(2)a)/(V^(2)))(V - nb) = nRT`
the constant a reflects the actual volume of the gas molecules.

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The van der Waal equation of gas is (P + (n^(2)a)/(V^(2))) (V - nb) = nRT

Units of a and b in van der Waal's equation (P+(an^(2))/(V^(2)))(V-nb)=nRT are

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Write van der Waal equation for n mol of gas.

Deviation of real gases from ideal behaviour can be studied by plots of compressibility factor (Z) vs p. The copressibility factor is Z=(pV)/(nRT) The compressibility factor for 1 mole of a gas obeying van der Waals gas equation at 0^(@)C and 100 atm pressure is found to be 0.5. The van der Waals gas equation is (p(an^(2))/(V^(2)))(V-nb)=nRT Calculate the value of 'a' assuming volume of molecules to be negligible.

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Knowledge Check

  • [P+(an^(2))/(V^(2))](V-nb) = nRT is -

    A
    Vander waals equation
    B
    Combined gas law
    C
    Boyle's Law
    D
    None of these
  • Units of a and b in van der Waal's equation (P+(an^(2))/(V^(2)))(V-nb)=nRT are

    A
    `L^(2)atm^(-1), L`
    B
    `atm L^(-2), L^(-1)`
    C
    `L^(2) atm^(-1) mol^(-2), L mol^(-1)`
    D
    `atm L^(2)mol^(-2), L mol^(-1)`
  • The van der Waals equation for 1 mole of gas is (p+a/V^(2))(V-b)=RT where,

    A
    p and V are ideal pressure and ideal volume respectively
    B
    (V - b) is the real volume
    C
    `(p+a/V^(2))` is the ideal pressure
    D
    `(p+a/V^(2))` is the real pressure
  • CENGAGE CHEMISTRY-STATES OF MATTER-Exercises (Ture False)
    1. In the van der Waals equation (P + (n^(2)a)/(V^(2)))(V - nb) = nRT ...

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    2. Kinetic energy of a molecule is zero at 0^(@)C

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    3. A gas in a closed container will exert much higher pressure due to gra...

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    4. The graph between PV vs P at constant temperature is linear parallel t...

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    5. Real gases show deviation from ideal behaviour at low temperature and ...

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    6. In the microscopic model of the gas, all the moleculer are supposed to...

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    7. For real gases, at high temperature Z = 0 small value of a means gas...

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    8. Small value of a means, gas can be easily liqueifed.

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    9. Rate of diffusion is directly proportional to the square root of molec...

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    10. For ideal gases, Z = 1 at all temperature and pressure.

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    11. According to charles's law,

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    12. The pressure of moist gas is higher than pressure of dry gas.

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    13. Gases do not occupy volume and do not have force of attraction.

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    14. The van der Waal equation of gas is (P + (n^(2)a)/(V^(2))) (V - nb)...

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    15. Surface tension and surface energy have different dimensions.

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    16. The plot of PV vs P at particular temperature is called isovbar.

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    17. Equal volume of all gases always contains equal number of moles.

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    18. A gas with a = 0 cannot be liquified.

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    19. The van der waals constants have same values for all the gases.

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    20. All the molecules in a given sample of gas move with same speed.

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