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A Glass Tea Kettle Containing 500 G of Water 0.090 m20.090 \mathrm {~m} ^ { 2 }

question 60

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A glass tea kettle containing 500 g of water is on the stove. The portion of the tea kettle that is in contact with the heating element has an area of 0.090 m20.090 \mathrm {~m} ^ { 2 } and is 1.5 mm thick. At a certain moment, the temperature of the water is 75C75 ^ { \circ } \mathrm { C } and it is rising at the rate of 3C3 \mathrm { C } ^ { \circ } per minute. What is the temperature of the outside surface of the bottom of the tea kettle? Neglect the heat capacity of the kettle, and assume that the inner surface of the kettle is at the same temperature as the water inside. The thermal conductivity of glass is 0.840 W/mK0.840 \mathrm {~W} / \mathrm { m } \cdot \mathrm { K } and the specific heat of water is 4186 J/kqK\mathrm { J } / \mathrm { kq } \cdot \mathrm { K }

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