Question

(p+ a/ v)(v-b)=RT find dimesions of a and b​

Answer 1

Explanation:

(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]

Similarly,

[b] = [V] = [L3]

Answer 2

Answer:

a=ML^5T^-2,b=L^3

Explanation:

P=a/v^2

MLT^-2/L^2=LT^-2/(L^3)^2

=ML^-1T^-2=LT^-2/L^6=

ML^-5T^-2=LT^-2

=ML^5T^-2=a

v-b=0

v=L^3

b=L^3