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An ordinary egg can be approximated as a 5.5-cmdiameter sphere whose properties are roughly k = 0.6 W/m·K and α = 0.14 × 10^{-6} m^{2}/s. The egg is initially at a uniform temperature of 8°C and is dropped into boiling water at 97°C. Taking the convection heat transfer coefficient to be h = 1400 W/m^{2}·K, determine how long it will take for the center of the egg to reach 70°C. Solve this problem using analytical one-term approximation method (not the Heisler charts).
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