Question

If P,V and T Are pressure,volume and temperature respectively of a gas,then from the relation(P+a/V2)(V-b)=RT,find the dimensions of a and b.

Answer 1

( P + a/V²) (V -b) RT
here P is the pressure , V is the volume , R is the gas constant , and T is the temperature .
for dimension of a

P = a/ V²

a = PV²

dimension of a = dimension of PV²
= [ML^-1T^-2][L³]²
= [ML^5T^-2]

again
dimension of b = dimension of V
= [L³]