Question

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

Answer 1

Answer:

$$\left[ P \right] =\left[ \dfrac { a }{ { V }^{ 2 } }  \right] $$

[a]=[P][V2]

$$\left[ a \right] =\left[ \dfrac { Force }{ Area } \times { \left( Volume \right)  }^{ 2 } \right] $$

$$\left[ a \right] =\left[ \dfrac { { MLT }^{ -2 }\times { L }^{ 6 } }{ { L }^{ 2 } }  \right] $$

[a]=[ML5T−2]