Solve the following problem:
Q: An egg, which for the purposes of this problem can be assumed to be a 5-cm-diameter sphere having the thermal properties of water, is initially at a temperature of 4°C. It is immersed in boiling water at 100°C for 15 min. The heat transfer coefficient from the water to the egg may be assumed to be 1700 W/(m2 K). What is the temperature of the egg center at the end of the cooking period?
GIVEN
An egg is immersed in boiling water
Initial temperature (To) = 4°C
Temperature of boiling water (Tvp) = 100°C
Time that the egg is in the water (t) = 15 min. = 900 s
The heat transfer coefficient (hc) = 1700 W/(m2 K)
ASSUMPTIONS
The egg is a sphere of diameter (D) = 5 cm = 0.05 m
The egg has the thermal properties of water
Thermal conductivity (k) = 0.682 W/(m K)
Density = 958.4 kg/m3
Specific Heat (c) = 4211 J/(kgK)
