(A) I$_2$ (g) $\rightarrow$ 2I (g) is an endothermic process (Atomisation).
(B) HCl (g) $\rightarrow$ H (g) + Cl (g) is an endothermic process (Atomisation).
(C) H$_2$O (l) $\rightarrow$ H$_2$O (g) is an endothermic process (Vaporisation).
(D) C (s) + O$_2$ (g) $\rightarrow$ CO$_2$ (g) is an exothermic process (Combustion).
(E) Dissolution of ammonium chloride in water is an endothermic process (Dissolution).
Thus, the number of endothermic processes is 4.
Consider that specific heat (0 to \(50~^\circ\mathrm{C}\)) of water, water vapour and air remains constant: \(4.48\), \(1.88\) and \(1.0~\mathrm{kJ/(kg\^\circ C)}\), respectively. Assuming the heat energy required to convert \(1~\mathrm{kg}\) of water to water vapour at \(0~^\circ\mathrm{C}\) is \(2000~\mathrm{kJ}\), the enthalpy (in kJ/kg dry air) of atmospheric air containing \(0.05~\mathrm{kg}\) water vapour per kg dry air at \(50~^\circ\mathrm{C}\) is ________. (rounded off to 1 decimal place)
In hot weather, a human body cools by evaporation of sweat. The amount of water that must evaporate to cool the body by \(1~^\circ\mathrm{C}\) is __________________________% of the body mass. (Round off to two decimal places)
[Given: latent heat of vaporization of water \(L_v=2.25\times10^6~\mathrm{J\,kg^{-1}}\); specific heat capacities of body and water \(c=4.2\times10^3~\mathrm{J\,kg^{-1}\,K^{-1}}\).]
One kg of dry air at \(15~^\circ\mathrm{C}\) is isothermally compressed to one–tenth of its initial volume. The work done on the system is ______________________________________ kJ. (Round off to the nearest integer) [Use the gas constant for dry air \(R=287~\mathrm{J\,kg^{-1}\,K^{-1}}\).]
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: