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
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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.
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