2. An egg may be approximated as a 6 cm diameter sphere with 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 suddenly dropped into water at 98°C. If the heat transfer coefficient is 1400 (W)/(m^2 · K), determine how long it will take for the center of the egg to reach 70°C.