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Find the heat flow through the sides of an 18cm tall glass of ice water in 45 s. The glass is 6.00 mm thick; the temperature inside is 28.0°C. The temperature outside is 43.3°C and the radius is 7.0 cm

Answer :

Final answer:

The heat flow through the sides of the glass is calculated using the formula Q = kA(ΔT/t), where k is the thermal conductivity of glass, A is the surface area, ΔT is the temperature difference, and t is the time. The surface area is calculated as 2πrh, and substituting all the necessary values gives a heat flow of 43.6 mJ.

Explanation:

To calculate the heat flow, you can use the formula Q = kA(ΔT/t), where Q is the heat flow, k is the thermal conductivity of glass, A is the surface area, ΔT is the change in temperature, and t is the time. Glass has a thermal conductivity of about 0.8 W/(mK).

The surface area of the glass can be calculated using the formula A = 2πrh, where r is the radius and h is the height. Substituting the given values, we get a surface area of 0.0390 m2. The temperature difference is 43.3°C - 28.0°C = 15.3°C or 15.3K.

Substituting all the values into the formula we get Q = 0.8 * 0.039 * 15.3 / 45 = 0.0436 J or 43.6 mJ.

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