Chapter 4: Problem 136
What is the proper storage temperature of frozen poultry? What are the primary methods of freezing for poultry?
Chapter 4: Problem 136
What is the proper storage temperature of frozen poultry? What are the primary methods of freezing for poultry?
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Get started for freeA 2-cm-diameter plastic rod has a thermocouple inserted to measure temperature at the center of the rod. The plastic rod $\left(\rho=1190 \mathrm{~kg} / \mathrm{m}^{3}, c_{p}=1465 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right.$, and \(k=0.19\) \(\mathrm{W} / \mathrm{m} \cdot \mathrm{K}\) ) was initially heated to a uniform temperature of \(70^{\circ} \mathrm{C}\) and allowed to be cooled in ambient air at \(25^{\circ} \mathrm{C}\). After \(1388 \mathrm{~s}\) of cooling, the thermocouple measured the temperature at the center of the rod to be \(30^{\circ} \mathrm{C}\). Determine the convection heat transfer coefficient for this process. Solve this problem using the analytical one-term approximation method.
To warm up some milk for a baby, a mother pours milk into a thin-walled cylindrical container whose diameter is \(6 \mathrm{~cm}\). The height of the milk in the container is \(7 \mathrm{~cm}\). She then places the container into a large pan filled with hot water at \(70^{\circ} \mathrm{C}\). The milk is stirred constantly so that its temperature is uniform at all times. If the heat transfer coefficient between the water and the container is $120 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$, determine how long it will take for the milk to warm up from \(3^{\circ} \mathrm{C}\) to $38^{\circ} \mathrm{C}$. Assume the entire surface area of the cylindrical container (including the top and bottom) is in thermal contact with the hot water. Take the properties of the milk to be the same as those of water. Can the milk in this case be treated as a lumped system? Why? Answer: \(4.50\) min
Stainless steel ball bearings $\left(\rho=8085 \mathrm{~kg} / \mathrm{m}^{3}\right.\(, \)k=15.1 \mathrm{~W} / \mathrm{m} \cdot{ }^{\circ} \mathrm{C}, \quad c_{p}=0.480 \mathrm{KJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}, \quad\( and \)\quad \alpha=3.91 \times\( \)10^{-6} \mathrm{~m}^{2} / \mathrm{s}\( ) having a diameter of \)1.2 \mathrm{~cm}$ are to be quenched in water. The balls leave the oven at a uniform temperature of $900^{\circ} \mathrm{C}\( and are exposed to air at \)30^{\circ} \mathrm{C}$ for a while before they are dropped into the water. If the temperature of the balls is not to fall below \(850^{\circ} \mathrm{C}\) prior to quenching and the heat transfer coefficient in the air is $125 \mathrm{~W} / \mathrm{m}^{2},{ }^{\circ} \mathrm{C}$, determine how long they can stand in the air before being dropped into the water.
A small chicken $(k=0.45 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}, \quad \alpha=0.15 \times\( \)10^{-6} \mathrm{~m}^{2} / \mathrm{s}$ ) can be approximated as an \(11.25-\mathrm{cm}\)-diameter solid sphere. The chicken is initially at a uniform temperature of \(8^{\circ} \mathrm{C}\) and is to be cooked in an oven maintained at \(220^{\circ} \mathrm{C}\) with a heat transfer coefficient of \(80 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\). With this idealization, the temperature at the center of the chicken after a 90 -min period is (a) \(25^{\circ} \mathrm{C}\) (b) \(61^{\circ} \mathrm{C}\) (c) \(89^{\circ} \mathrm{C}\) (d) \(122^{\circ} \mathrm{C}\) (e) \(168^{\circ} \mathrm{C}\)
In a manufacturing facility, 2-in-diameter brass balls $\left(k=64.1 \mathrm{Btw} / \mathrm{h} \cdot \mathrm{ft}{ }^{\circ} \mathrm{F}, \rho=532 \mathrm{lbm} / \mathrm{ft}^{3}\right.\(, and \)\left.c_{p}=0.092 \mathrm{Btu} / \mathrm{lbm} \cdot{ }^{\circ} \mathrm{F}\right)\( initially at \)250^{\circ} \mathrm{F}\( are quenched in a water bath at \)120^{\circ} \mathrm{F}$ for a period of \(2 \mathrm{~min}\) at a rate of \(120 \mathrm{balls}\) per minute. If the convection heat transfer coefficient is $42 \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft}^{2},{ }^{\circ} \mathrm{F}\(, determine \)(a)$ the temperature of the balls after quenching and \((b)\) the rate at which heat needs to be removed from the water in order to keep its temperature constant at $120^{\circ} \mathrm{F}
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