It has been observed that for the system air-water vapor at near-ambient conditions, Le \(=1.0\) (Treybal, 1980). This observation, called the Lewis relation, has profound implications in humidification operations, as will be seen later. Based on the Lewis relation, estimate the diffusivity of water vapor in air at \(300 \mathrm{~K}\) and \(1 \mathrm{~atm}\). Compare your result with the value predicted by the Wilke-Lee equation. For air at \(300 \mathrm{~K}\) and \(1 \mathrm{~atm}: C_{p}=1.01 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}, k=0.0262 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, \mu=1.846 \times 10^{-5} \mathrm{~kg} / \mathrm{m} \cdot \mathrm{s}\), and \(ho=1.18 \mathrm{~kg} / \mathrm{m}^{3}\).