Question

1. In van der Waals' equation [p + 1 j2)] (V – b) = RT, where p is pressure, Vis volume,T is
temperature and R is the gas constant. Find the dimension of constants a and b​

Answer 1

Answer:

answer: dimension of a = [ML⁵T^-²]

". " b = [L³]

Explanation:

according to principle of homogeneity,

V = b

so, L³ = b

so, dimension of b = L³

and

(P + a/V²)

P = a/V²

P×V² = a

(ML^-¹ T^-²) × (L³)² = a

(ML⁵T^-²) = a

principle of homogeneity states that dimensions of each the term of a dimensional equation on both side are the same any equation of formula involving dimensions (mass,length,time etc.) have the term with same dimensions.