Homework #$4($Due on Sept. $18)$

Please calculate the contact angle of the powders grinded from an agriculture plant material interacted with diiodomethane based on the following wicking data:

$\backslash$table$[[$Time $($second$),$Height of liquid rise $($m$)],[,$Hexane,Diiodomethane$],[0,0\mathrm{.}00,0\mathrm{.}00],[5,0\mathrm{.}012,0\mathrm{.}006],[10,0\mathrm{.}015,0\mathrm{.}0065],[30,0\mathrm{.}026,0\mathrm{.}014],[50,0\mathrm{.}037,0\mathrm{.}018],[70,0\mathrm{.}043,0\mathrm{.}0195],[100,0\mathrm{.}049,0\mathrm{.}025],[150,0\mathrm{.}061,0\mathrm{.}031],[200,0\mathrm{.}071,0\mathrm{.}036]]$

Please calculate the total surface energy $({}^{\text{t}\text{o}\text{t}}),$ and dispersive and polar components $({}^d,{}^p)$ of a hardwood fiber based on the following contract angle data.

$\begin{array}{cc}\text{L}\text{i}\text{q}\text{u}\text{i}\text{d}& \text{C}\text{o}\text{n}\text{t}\text{a}\text{c}\text{t}\text{a}\text{n}\text{g}\text{l}\text{e}\\ \text{W}\text{a}\text{t}\text{e}\text{r}& 80\mathrm{.}5\\ \text{F}\text{o}\text{r}\text{m}\text{a}\text{m}\text{i}\text{d}\text{e}& 55\mathrm{.}0\\ \text{E}\text{t}\text{h}\text{y}\text{l}\text{e}\text{n}\text{e}\text{g}\text{l}\text{y}\text{c}\text{o}\text{l}& 40\mathrm{.}0\\ -\text{b}\text{r}\text{o}\text{m}& 5\mathrm{.}0\end{array}$