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For real gases van der Waals equation of...

For real gases van der Waals equation of state 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.
Dimension of a is

A

`ML^(5)T^(-2)`

B

`L^(-1)T^(-2)`

C

`L^(3)`

D

`L^(6)`

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The correct Answer is:
A
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Knowledge Check

  • For real gases van der Waals equation of state 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. Dimension of (ab)/(RT) is

    A
    `ML^(5)T^(-2)`
    B
    `M^(0)L^(3)T^(0)`
    C
    `ML^(-1)T^(-2)`
    D
    none of these

  • For real gases van der Waals equation of state 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. Dimension of RT is the same as that of

    A
    energy
    B
    force
    C
    specific heat
    D
    latent heat

  • For real gases van der Waals equation of state 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 dimension as that of RT?

    A
    pV
    B
    pb
    C
    `(a)/(V^(2))`
    D
    `(ab)/(V^(2))`

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