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Incredible Edible (Hard-boiled) Egg. By Sam Anderson and Eugene Hart. Objective. To Determine if Quiz #3 is Accurate by…. Calculating the time required to reach 160°F or 71°C in the center of the egg (safe eating temperature) Quiz #3 uses the thermophysical properties of water
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Incredible Edible (Hard-boiled) Egg By Sam Anderson and Eugene Hart
Objective To Determine if Quiz #3 is Accurate by…. • Calculating the time required to reach 160°F or 71°C in the center of the egg (safe eating temperature) • Quiz #3 uses the thermophysical properties of water • Use the thermophysical properties of an egg yolk with the given geometry from Quiz #3 • Use the thermophysical properties of an egg yolk with the actual geometrical measurements • Boiling the eggs for the calculated times to verify
Property Comparison Egg properties1 (actual rad.) • ρ=1131.74 [kg/m3] • cp=2639.76 [J/kg·K] • k=0.3985 [W/m·K] • α=k/ρcp=0.133e-6 [W/m·k] • Bi=hr/k=23.2 • C1=1.97 • ς1=2.98 • r=0.0227 m Egg ≈Water (Quiz #3, r=1 in.) • ρ=993 [kg/m3] • cp=4178 [J/kg·K] • k=0.628 [W/m·K] • α=k/ρcp=0.15e-6 [W/m·k] • Bi=hr/k=16.2 • C1=1.95 • ς1=2.9 • r=0.0254 m Egg properties1 (r=1 in.) • ρ=1131.74 [kg/m3] • cp=2639.76 [J/kg·K] • k=0.3985 [W/m·K] • α=k/ρcp=0.133e-6 [W/m·k] • Bi=hr/k=25.49 • C1=1.97 • ς1=2.98 • r=0.0254 m
Calculations Approximate Analytical Solution Egg ≈Water (Quiz #3, r=1 in.) Bi=16.2 Tdone=160°F or 71°C T∞ =21.39°C Ti = 4.5°C t(71°C)=17 min. Egg properties1 (r=1 in.) Bi=25.49 Tdone=160°F or 71°C T∞ =21.39°C Ti = 4.5°C t(71°C)= 9 min. 6 sec. Egg properties1(actual rad.) Bi=23.28 Tdone=160°F or 71°C T∞ =21.39°C Ti = 4.5°C t(71°C)= 7 min. 48 sec.
The Experiment Continued 84.6°C in the Center after 17 min. of boiling
The Experiment Continued 79.8 °C in the Center after 9 min. of boiling
The Experiment Continued 70.9°C in the Center! After 7.48 min. of boiling ≈71°C!
References • 1 “Continuous Pastuerization of Egg Yolk: Thermophysical Properties and Process Simulation” by Gut, Pinto, Gabas, and Telis-Romero http://www3.interscience.wiley.com/cgi-bin/fulltext/118650543/HTMLSTART • 2 http://www.incredibleegg.org/?utm_campaign=-&utm_medium=cpc&utm_source=Google&utm_content=&utm_term=eggs&gclid=CJjM-beP36ACFQykiQodZHvD0A