Question

The equation (p+a/v^2)(v-b)=constant. The unit of a is

Answer 1

Answer:

For the unit of ‘a' -

By, taking the terms (P + a/v^2) from the equation,

Unit of ‘P' (Pressure) = Unit of ‘a' / Unit of ‘V^2' (Volume) (CGS System)

Unit of ‘a' = Unit of (P×V^2)

= (g - cm^-1 - s^-2)× (cm^3)^2

= g - cm^-1 - cm^6 - s^-2

= g - cm^5 - s^-2

= (g - cm - s^-2) × cm^2

Because, g-cm-s^-2 = Dyne

So,

Unit of ‘a' = Dyne × cm^4.