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The van der Waal's equation of state for...

The van der Waal's equation of state for some gases can be expressed as :
`(P + (a)/( V^(2))) ( V - b) = RT`
Where `P` is the pressure , `V` is the molar volume , and `T` is the absolute temperature of the given sample of gas and `a, b , and R` are constants.
In the above problem , the dimensional formula for `RT` is same as that of

A

P

B

V

C

`PV^(2)`

D

RT

Text Solution

Verified by Experts

The correct Answer is:
B
`[b]=[V]`
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The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. The dimensions of a are

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. Which of the following does not have the same dimensional formula as that for RT?

Knowledge Check

  • van der Waal's equation of state of a gas takes into account

    A
    the intermolecular forces only
    B
    the size of the molecule only
    C
    both the intermolecular forces and the size of the molecule
    D
    the velocity of the molecules only

  • In van der Waals' equation of state, the constant 'b' is a measure of

    A
    intermolecular repulsion
    B
    intermolecular attraction
    C
    volume occupied by the molecules
    D
    intermolecular collisions per unit volume.

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