An ordinary egg can be approximated as a $5\mathrm{.}5-cm$ diameter sphere. The egg is initially at a uniform temperature of $8C$ and is dropped into boiling water at $97C.$ Taking the properties of egg to be $=1020k\frac{g}{m}3$ and $Cp=3\mathrm{.}32k\frac{J}{k}g*C,$ determine how much heat is transferred to the egg by the time the average temperature of the egg rises to $70C$ and the amount of exergy destruction associated with this heat transfer process. Take $T_0=25C.$