Chapter 4: Problem 126
What are the environmental factors that affect the growth rate of microorganisms in foods?
Chapter 4: Problem 126
What are the environmental factors that affect the growth rate of microorganisms in foods?
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Get started for freeAn electronic device dissipating \(18 \mathrm{~W}\) has a mass of $20 \mathrm{~g}\(, a specific heat of \)850 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\(, and a surface area of \)4 \mathrm{~cm}^{2}$. The device is lightly used, and it is on for \(5 \mathrm{~min}\) and then off for several hours, during which it cools to the ambient temperature of \(25^{\circ} \mathrm{C}\). Taking the heat transfer coefficient to be $12 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$, determine the temperature of the device at the end of the 5-min operating period. What would your answer be if the device were attached to an aluminum heat sink having a mass of \(200 \mathrm{~g}\) and a surface area of \(80 \mathrm{~cm}^{2}\) ? Assume the device and the heat sink to be nearly isothermal.
A long cylindrical wood log $(k=0.17 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\( and \)\alpha=1.28 \times 10^{-7} \mathrm{~m}^{2} / \mathrm{s}$ ) is \(10 \mathrm{~cm}\) in diameter and is initially at a uniform temperature of \(25^{\circ} \mathrm{C}\). It is exposed to hot gases at $525^{\circ} \mathrm{C}\( in a fireplace with a heat transfer coefficient of \)13.6 \mathrm{~W} / \mathrm{m}^{2}, \mathrm{~K}$ on the surface. If the ignition temperature of the wood is \(375^{\circ} \mathrm{C}\), determine how long it will be before the log ignites. Solve this problem using the analytical one- term approximation method.
A steel casting cools to 90 percent of the original temperature difference in \(30 \mathrm{~min}\) in still air. The time it takes to cool this same casting to 90 percent of the original temperature difference in a moving air stream whose convective heat transfer coefficient is 5 times that of still air is (a) \(3 \mathrm{~min}\) (b) \(6 \mathrm{~min}\) (c) \(9 \mathrm{~min}\) (d) \(12 \mathrm{~min}\) (e) \(15 \mathrm{~min}\)
A 6-cm-high rectangular ice block $(k=2.22 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\( and \)\alpha=0.124 \times 10^{-7} \mathrm{~m}^{2} / \mathrm{s}$ ) initially at \(-18^{\circ} \mathrm{C}\) is placed on a table on its square base \(4 \mathrm{~cm} \times 4 \mathrm{~cm}\) in size in a room at $18^{\circ} \mathrm{C}$. The heat transfer coefficient on the exposed surfaces of the ice block is \(12 \mathrm{~W} / \mathrm{m}^{2}\). \(\mathrm{K}\). Disregarding any heat transfer from the base to the table, determine how long it will be before the ice block starts melting. Where on the ice block will the first liquid droplets appear? Solve this problem using the analytical one-term approximation method.
Can the one-term approximate solutions for a plane wall exposed to convection on both sides be used for a plane wall with one side exposed to convection while the other side is insulated? Explain.
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