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The equation fo state of a gas is given ...

The equation fo state of a gas is given by
`(P+(a)/(V^(3)))(V-b^(2))=cT`, where P,V,T are pressure, volume and temperature respectively, and a,b,c are constants. The dimesions of a and b are respectively

A

`ML^(-8)T^(-2)andL^(3//2)`

B

`ML^(5)T^(-2)andL^(3)`

C

`ML^(5)T^(-2)andL^(6)`

D

`ML^(6)T^(-2)andL^(3//2)`

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Knowledge Check

  • The equation of state of some gases can be expressed as , (P+(a)/(V^(2)))(V-b)=RY where P is the pressure, V the volume, T the absolute temperature and a, b, R are constants. The dimensions of 'a' are -

    A
    `[ML^(5)T^(-2)]`
    B
    `[ML^(-1)T^(-2)]`
    C
    `[L^(3)]`
    D
    `[L^(6)]`

  • The equation of state of some gases can be expressed as (P+ (a)/(V^(2)))(V-b)= RT , where P is the pressure, V is the volume, T is the absolute temperature and a, b & R are constants. The dimensions of 'a' are : -

    A
    `[ML^(5)T^(-2)]`
    B
    `[ML^(-1)T^(-2)]`
    C
    `[L^(3)]`
    D
    `[L^(6)]`

  • An equation of a gas is given as (P+(a)/(V^(2))=(bT)/(V) , where P = pressure, V = volume and T= absolute temperature of the gas and a and b are constants. What is the dimensional formula for a?

    A
    `[M^(-1)L^(5)T^(2)]`
    B
    `[M L^(5)T^(-2)]`
    C
    `[M L^(-5)T^(-1)]`
    D
    `[M L^(5) T]`

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