= How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that has properties similar to water with a density of p = 1000 kg/m³ and thermal conductivity of k 0.606 Watts/(m.°C) and specific heat of c = 4182 J/(kg.° C). Suppose that an egg is fully cooked when the temperature at the center reaches 70° C. Initially the egg is taken out of the fridge at 4° C and placed in the boiling water at 100° C. Since the egg shell is very thin assume that it quickly reaches a temperature of 100° C. The protein in the egg effectively immobilizes the water so the heat conduction is purely conduction (no convection). Plot the temperature of the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it takes to cook the egg in minutes.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.48P
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How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that
has properties similar to water with a density of ρ
1000 kg/m³ and thermal conductivity of
k = 0.606 Watts/(m.°C) and specific heat of c = 4182 J/(kg.° C). Suppose that an egg is fully
cooked when the temperature at the center reaches 70° C. Initially the egg is taken out of the
fridge at 4° C and placed in the boiling water at 100° C. Since the egg shell is very thin assume
that it quickly reaches a temperature of 100° C. The protein in the egg effectively immobilizes
the water so the heat conduction is purely conduction (no convection). Plot the temperature of
the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it
takes to cook the egg in minutes.
Figure 1: Image source: [Link]
Transcribed Image Text:5 Problem = How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that has properties similar to water with a density of ρ 1000 kg/m³ and thermal conductivity of k = 0.606 Watts/(m.°C) and specific heat of c = 4182 J/(kg.° C). Suppose that an egg is fully cooked when the temperature at the center reaches 70° C. Initially the egg is taken out of the fridge at 4° C and placed in the boiling water at 100° C. Since the egg shell is very thin assume that it quickly reaches a temperature of 100° C. The protein in the egg effectively immobilizes the water so the heat conduction is purely conduction (no convection). Plot the temperature of the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it takes to cook the egg in minutes. Figure 1: Image source: [Link]
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