Problem $4-86$

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 it's dropped into boiling water at $97C.$ Taking the properties of the egg to be density is $1020k\frac{g}{m^3}$ and $c_p$ equals $3\mathrm{.}32k\frac{J}{k}gC.$

a$)$ Determine the mass of the egg

b$)$ Simplify the generalized $1^{st}$ Law equation for this problem. Explain your simplifications

c$)$ Determine how much heat must be transferred to the egg by the time the average temperature is $80C.$

d$)$ Determine the amount of heat needed to raise the temperature of a half dozen eggs from $8C$ to $80C.$

e$)$ Determine the energy required for a half dozen eggs if the heating process was $80\%$ efficient