$14-185$E A swimmer extends his wet arms into the windy air outside at $\backslash (1\backslash$mathrm$\{$~atm$\},40^\{\backslash$circ$\}\backslash$mathrm$\{$F$\},50\backslash )$ percent relative humidity, and $20$ mph $.$ If the average skin temperature is $\backslash (80^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash ),$ determine the rate at which water evaporates from both arms and the corresponding rate of heat transfer by evaporation. The arm can be modeled as a $2-$ft$-$long and $3-$in$-$diameter cylinder with adiabatic ends. Here enter the evaporation rate in units of lbm$/$h$.$ Here enter the rate of heat transfer by evaporation in units of Btu$/$s$.$