$7-145$ An ordinary egg can be approximated as a $5\mathrm{.}5-$cm$-$

diameter sphere. The egg is initially at a uniform tempera$-$

ture of $8$ and is dropped into boiling water at $97.$ Tak$-$

ing the properties of the egg to be p $=1020$ kg$/$m$3$ and

C$=3\mathrm{.}32$ KJ$/$kg$,$ determine $($a$)$ how much heat is trans$-$

ferred to the egg by the time the average temperature of the

egg rises to $70$ and $($b$)$ the amount of entropy generation

associated with this heat transfer process.