$3.(20$ points$)$ Skeletons hate humidity... they like things bone dry!;$-)$

Please use the psychrometric chart on the next page to answer the following, and be sure to show your work on the chart for full credit.

a$)(6$ points$)$ Humid air at $\backslash (32\mathrm{.}0^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ has $\backslash (12\mathrm{.}0^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ of superheat. What is its moisture content?

b$)(8$ points$)$ I cool that humid air down to its dew point. At the dew point, what is the mass of water $(\backslash (\backslash$mathbf$\{$k g$\}\backslash ))$ in the air? Assume my skeleton lair has a volume of $\backslash (\backslash$mathbf$\{720\}\backslash ).\backslash (\backslash$mathrm$\{$m$\}^\{3\}\backslash ).$

c$)(6$ points$)$ My plan is to keep cooling the air so that water is condensed out and subsequently removed. How low should $\backslash ($ I $\backslash )$ drop the temperature $\backslash (\backslash$left$(\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash$right$)\backslash )$ so that when the air warms back up to $\backslash (32\mathrm{.}0^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ it has a skeleton$-$friendly relative humidity of only $\backslash (30\backslash \%\backslash )?$