QUESTION # $2.$

A sphere of crystalline ice of $H_{2}O,5cm$ in diameter, is exposed to $50k\frac{m}{h}$ wind of dry air. $*$ Both the ice sphere and air are at $(-1C)$ and $90$kPa. The kinematic viscosity of air is $1\mathrm{.}32{10}^{-7}\frac{m^2}{s},$ vapor pressure of $H_{2}O$ at $(-1C)$ is $0\mathrm{.}56$kPa, and the density of ice is $915k\frac{g}{m^3}.$ The diffusivity of water in air is defined as: $D_{H2O-\text{a}\text{i}\text{r}}=1\mathrm{.}87{10}^{-10}(\frac{T^{2\mathrm{.}072}}{P}),$ where $D_{AB}$ in $\frac{m^2}{s},T$ is in Kelvin and $P$ is in atm.

Determine: $($i$)$ the evaporation rate of the ice in $\frac{g}{h}$

$($ii$)k_G^{\text{'}}$

$($iii$)k_y.$