Home
Class 11
PHYSICS
In Vander Wall's equation (P +(a)/(V^2))...

In Vander Wall's equation `(P +(a)/(V^2))(V - b) = RT` What are the dimensions of a and b ? Here, P is pressure, V is volume, T is temperature and R is gas constant.

Text Solution

AI Generated Solution

To find the dimensions of \(a\) and \(b\) in the Van der Waals equation \((P + \frac{a}{V^2})(V - b) = RT\), we need to analyze the equation dimensionally. ### Step-by-Step Solution: 1. **Identify the dimensions of pressure \(P\):** \[ [P] = \text{Pressure} = \frac{\text{Force}}{\text{Area}} = \frac{MLT^{-2}}{L^2} = ML^{-1}T^{-2} \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Conceptual Problem|65 Videos

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise NCERT Exercises|40 Videos

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise multiple choice Questions|13 Videos

  • PROPERTIES OF BULK MATTER

    PRADEEP|Exercise Multiple choice questions|7 Videos

Similar Questions

Explore conceptually related problems

In Vander Wall’s gas equation (P+(a)/(V^(2)))(V-b)=RT . Determine the dimensions of a and b.

In the Van-der-Waals equation (p_(1)+(a)/(v^(2)))(v-b) =RT.Find the dimension of a and b

Knowledge Check

  • In equation (P+(a)/(V^(2)))(V-b)=RT , the dimensional formula of a is

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

  • In the equation (P+(a)/(V^(2)))(V-b) = RT ,, the SI unit of a is

    A
    `Nm^(2)`
    B
    `Nm^(4)`
    C
    `Nm^(-3)`
    D
    `Nm^(-2)`

    • Similar Questions

    Explore conceptually related problems

    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 Vander Waal's equation (P+(a)/(V^(2)))(V-b)=RT ,dimensions of a would be

    The vander Waal's equation for n moles of a real gas is (p + (a)/(V^(2))) (V-b) = nRT where p is pressure, V is volume, T is absoulte temperature, R is molar gas constant a,b and c are vander Wall's constants. The dimensional formula for ab is

    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.

    The equation of a state of a real gas is given by (P + (a)/(V^(2))) (V - b) = RT , where T is absolute temperature, P is pressure, V is volume and R is universal gas constant. What are the dimensions of constant 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.

    Home
    Profile