Find the temperature change of the water in each container

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Model the electromagnetic wave in a microwave oven as a plane traveling wave moving to the left, with an intensity of 26.3 kW/m2. An oven contains two cubical containers of small mass, each full of water. One has an edge length of 6.36 cm, and the other, 11.2 cm. Energy falls perpendicularly on one face of each container. The water in the smaller container absorbs 70.0% of the energy that falls on it. The water in the larger container absorbs 91.0%. That is, the fraction 0.300 of the incoming microwave energy passes through a 6.36-cm thickness of water, and the fraction (0.300)(0.300) = 0.090 passes through a 11.2-cm thickness. Assume a negligible amount of energy leaves either container by heat. Find the temperature change of the water in each container over a time interval of 512 s. (The density and the specific heat of water are 103 kg/m3 and 4 186 J/kg · °C, respectively.)

smaller container °C
larger container °C

Reference no: EM13339162

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