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Find the dimensions of a in the formula `(p+a/V^2)(V-b)=RT`

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Knowledge Check

  • If force F velocity V and time T are taken as fundamental units, find the dimensions of force in the dimensional formula of pressure

    A
    `3`
    B
    `5`
    C
    `6`
    D
    `1`

  • The dimensions of gamma in the relation v = sqrt((gamma p)/(rho)) (where v is velocity, p is pressure , rho is density)

    A
    Dimensionless
    B
    `[LT^(-1)]`
    C
    `[ML^(-1) T^(-2)]`
    D
    `[ML^(-3)]`

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    In the formula P=(nRT)/(V-b)e^(-a/(RTV)) . Find the dimensions of a and b where P= pressure, n= number of moles. T= temperature, V= volume and R= universal gas constant.

    For a moles of gas ,Van der Weals equation is (p = (a)/(V^(-2))) (V - b) = nRT ltbr. Find the dimensions of a a and b , where p = pressure of gas ,V = volume of gas and T = temperature of gas .

    In the formula , p = (nRT)/(V-b) e ^(a)/(RTV) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and E = universal gas constant .

    In the formula P = (nRT)/(V-b)e^(-(a)/(RTV)) , find the dimensions of a and b where P = pressure, n = no. of moles, T = temperature, V = volume and R = universal gas constant.

    One way of writing the equation of state for real gases is p bar(V) = RT[1+(B)/(bar(V))+ ….] where B is constant. Derive an approximate expression for B in terms of the van der Waals constants, a and b.

    Find out the unit and dimensions of the constants a and b in the van der Waal's equation ( P + (a)/(V^(2))) ( V - b ) = R t , where P is pressure , v is volume , R is gas constant , and T is temperature.

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