Question $1$

Water at $20C$ is flowing down a $3\mathrm{.}0m$ long vertical plate at a volumetric flow rate per meter of plate width of $q=0\mathrm{.}000006\frac{m^2}{(s)}.$ Entering water is pure. The water is in contact with carbon dioxide

gas that is saturated with water vapor at $20C.$ Assume no water is evaporating. Carbon dioxide transfers into the falling water. At the water$-$gas interface, water and carbon dioxide are in equilibrium at the solubility limit of carbon dioxide water$).$ Determine the film thickness, average vertical velocity of film, Reynolds number, Schmidt number, Peclet number and Sherwood number and mass transfer rate.