A shallow insulated flat pan containing a thin layer of water is placed outdoors at night. Theeffective blackbody temperature of the cloudless sky night sky is $-95$ C and the outside airtemperature is $16$ C$.$ Assume that kice$=2\mathrm{.}2$W$/$mK$,$ ice$=917$kg$/$m$3,$ cp$\_$ice$=2100$ J$/$kgK$,$ hwater$\_$ice$=333\mathrm{.}7$kJ$/$kg$,$ h$=2$W$/$m$2$K ice $=0\mathrm{.}95.($a$)$ Will ice form?$($b$)$ If ice will forms, what is the initial rate of formation