2. An egg may be approximated as a 6 cm diameter sphere with $k = 0.6 \frac{W}{m \cdot K}$ and $\alpha = 0.14 \times 10^{-6} \frac{m^2}{s}$. 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 $1400 \frac{W}{m^2 \cdot K}$, determine how long it will take for the center of the egg to reach 70°C.
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First, we need to calculate the temperature difference between the water and the center of the egg. The initial temperature of the water is 98°C, and we want to reach a final temperature of 70°C. Therefore, the temperature difference is 98°C - 70°C = 28°C. Show more…
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An ordinary egg can be approximated as a 5.5-cm-diameter sphere. The egg is initially at a uniform temperature of $8^{\circ} \mathrm{C}$ and is dropped into boiling water at $97^{\circ} \mathrm{C}$. Taking the properties of the egg to be $\rho=1020 \mathrm{~kg} / \mathrm{m}^{3}$ and $c_{p}=3.32 \mathrm{~kJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}$ determine how much heat is transferred to the egg by the time the average temperature of the egg rises to $80^{\circ} \mathrm{C}$.
An ordinary egg can be approximated as a $5.5-\mathrm{cm}-$ diameter sphere. The egg is initially at a uniform temperature of $8^{\circ} \mathrm{C}$ and is dropped into boiling water at $97^{\circ} \mathrm{C}$. Taking the properties of egg to be $\rho=1020 \mathrm{kg} / \mathrm{m}^{3}$ and $c_{p}=3.32 \mathrm{kJ} / \mathrm{kg} \cdot^{\circ} \mathrm{C}$ determine how much heat is transferred to the egg by the time the average temperature of the egg rises to $70^{\circ} \mathrm{C}$ and the amount of exergy destruction associated with this heat transfer process. Take $T_{0}=25^{\circ} \mathrm{C}$.
An ordinary egg can be approximated as a $5.5-\mathrm{cm}-$ diameter sphere. The egg is initially at a uniform temperature of $8^{\circ} \mathrm{C}$ and is dropped into boiling water at $97^{\circ} \mathrm{C}$. Taking the properties of egg to be $\rho=1020 \mathrm{~kg} / \mathrm{m}^{3}$ and $c_{p}=3.32 \mathrm{~kJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}$ determine how much heat is transferred to the egg by the time the average temperature of the egg rises to $85^{\circ} \mathrm{C}$ and the amount of exergy destruction associated with this heat transfer process. Take $T_{0}=25^{\circ} \mathrm{C}$.
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