Solved: A microwave oven operates on the principle that

Chapter , Problem 5.3

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QUESTION:

A microwave oven operates on the principle that application of a high-frequency field causes electrically polarized molecules in food to oscillate. The net effect is a nearly uniform generation of thermal energy within the food. Consider the process of cooking a slab of beef of thickness 2L in a microwave oven and compare it with cooking in a conventional oven, where each side of the slab is heated by radiation. In each case the meat is to be heated from 0 C to a minimum temperature of 90 C. Base your comparison on a sketch of the temperature distribution at selected times for each of the cooking processes. In particular, consider the time t0 at which heating is initiated, a time t1 during the heating process, the time t2 corresponding to the conclusion of heating, and a time t3 well into the subsequent cooling process

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QUESTION:

A microwave oven operates on the principle that application of a high-frequency field causes electrically polarized molecules in food to oscillate. The net effect is a nearly uniform generation of thermal energy within the food. Consider the process of cooking a slab of beef of thickness 2L in a microwave oven and compare it with cooking in a conventional oven, where each side of the slab is heated by radiation. In each case the meat is to be heated from 0 C to a minimum temperature of 90 C. Base your comparison on a sketch of the temperature distribution at selected times for each of the cooking processes. In particular, consider the time t0 at which heating is initiated, a time t1 during the heating process, the time t2 corresponding to the conclusion of heating, and a time t3 well into the subsequent cooling process

ANSWER:

Step 1 of 3

In this problem we know that

- slab of beef thickness,

- microwave oven produces nearly uniform thermal energy generation while conventional oven heats each side of the beef by radiation

- beef starting and minimum temperature,

- , heating is initiated

- , point during the heating process

- , conclusion of heating when the minimum temperature of  is achieved

- , point in the cooling process

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