$8-48$ An ordinary egg can be approximated as a $5\mathrm{.}5-$cm$-$diameter sphere. The egg is initially at a uniform temperature of $8$C and is dropped into boiling water at $97$C$.$ Taking the properties of the egg to be $=1020$ kg$/$m$3$ and cp$=3\mathrm{.}32$kJ$/$kg$$C$,$ determine a$)$ how much heat is transferred to the egg by the time the average temperature of the egg rises to $70$C and b$)$ the amoungt of entropy generation associated with the heat transfer process