Question

The equation of state of some gases can be expressed as (p+a /v^2 )(v-b) dimensional formula for a

Answer 1

(P + a/V2) (V - b) = RT
P is pressure, V is volume and T is temperature.
[P] = [F/A] = [MLT −2/L2] = [ML−1T −2]
[V] = [L3]

We cannot add or subtract quantities of different dimensions. Therefore
[P] = [a/V2] ⇒ [a] = [PV2] = [ML−1T −2 L6] = [M L5 T −2]
∴ [a] = [M L5 T −2]

Answer 2

Answer:

Explanation:(P+a/v^2)(V-b)=RT

P=F/A=MLT^-2/L^2=ML^-1T^-2

V=L^3

Since , we cannot add or subtract the quantities of different dimensions

Therefore,P=a/V^2

a=PV^2

a=ML^-1T^-2L^6

A=ML^5T^-2

Hope it helps....