The melting point of a substance can be calculated by dividing the enthalpy change by the entropy change during melting.
The relationship between enthalpy (ΔH) and entropy (ΔS) during a phase change is:
ΔS = ΔH / T
Rearranging to find the melting point (Tmp):
Tmp = ΔH / ΔS
Substituting the given values:
Tmp = 30400 / 28.4 = 1070.42 K
The nearest integer value is 1070 K.
Let one focus of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ be at $ (\sqrt{10}, 0) $, and the corresponding directrix be $ x = \frac{\sqrt{10}}{2} $. If $ e $ and $ l $ are the eccentricity and the latus rectum respectively, then $ 9(e^2 + l) $ is equal to:
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is: